Last Update - 19/02/2019
Toll Free No - 1800 120 111 333

Name Post CUG No Email Id CV
Dr. Ashutosh Gupta Director 7525048002 View
Dr. Shruti Assistant Professor(Statistics) 7525048051 View
Ms. Marisha Assistant Professor 7525048133 View
Shri. Manoj Kumar Balwant Assistant Professor 7525048125 View
Dr. Dinesh Kumar Gupta Consultant 7525048053 View

A.       Diploma Programmes

The objective of this programme is to provide a broad base foundation in the related area of sciences as well as applied fields of sciences. The School of Sciences offers one year diploma programme in ‘Applied Statistics and Computer’ (DASC). The aim of this programme is to provide the knowledge of fundamental statistics and basics of computers to the learners. The minimum and maximum progarmme duration to pass the course is 01 years and 03 years respectively.  The eligibility for this programme is 10+2 (Science Group) and the fee for the programme is Rs. 4600.00. The course is offered in only English medium.A.       Diploma Programmes

The objective of this programme is to provide a broad base foundation in the related area of sciences as well as applied fields of sciences. The School of Sciences offers one year diploma programme in ‘Applied Statistics and Computer’ (DASC). The aim of this programme is to provide the knowledge of fundamental statistics and basics of computers to the learners. The minimum and maximum progarmme duration to pass the course is 01 years and 03 years respectively.  The eligibility for this programme is 10+2 (Science Group) and the fee for the programme is Rs. 4600.00. The course is offered in only English medium.1.     3 Post Graduate Diploma in Bio-Statisctics and Population Studies  (PGDBSPS)

This Course will provide students knowledge and understanding of biostatistics and population sciences. Learners will learn about the linkages between population and various dimensions of socio-economic, health and environmental development. This course is also providing an idea to conduct further studies in various aspects of population and its development in different fields. The minimum and maximum progarmme duration to pass the course is 01 years and 03 years respectively.  The eligibility for this programme is Three years Bachelor Degree and the fee for the programme is Rs. 8100.00 p.a. The course is offered only in English medium.A.       Diploma Programmes

The objective of this programme is to provide a broad base foundation in the related area of sciences as well as applied fields of sciences. The School of Sciences offers one year diploma programme in ‘Applied Statistics and Computer’ (DASC). The aim of this programme is to provide the knowledge of fundamental statistics and basics of computers to the learners. The minimum and maximum progarmme duration to pass the course is 01 years and 03 years respectively.  The eligibility for this programme is 10+2 (Science Group) and the fee for the programme is Rs. 4600.00. The course is offered in only English medium.1.      Post Graduate Diploma in Bio-Statisctics and Population Studies  (PGDBSPS)

This Course will provide students knowledge and understanding of biostatistics and population sciences. Learners will learn about the linkages between population and various dimensions of socio-economic, health and environmental development. This course is also providing an idea to conduct further studies in various aspects of population and its development in different fields. The minimum and maximum progarmme duration to pass the course is 01 years and 03 years respectively.  The eligibility for this programme is Three years Bachelor Degree and the fee for the programme is Rs. 8100.00 p.a. The course is offered only in English medium. 

 The School of Science was started in 1999 with a view to provide undergraduate and post graduate students a prospect to be a component of the distinctive learning methodology of the university, which lays prominence on academic excellence. The significance of science to the mankind has been effectively summarized by Dr. A. P. J. Abdul Kalam, as “Science, more Science and still more Science is needed to lay the strong foundations for the development and growth of an individual, a society, a nation and the world.”  The aim of School of Science is to achieve excellence in all fields of sciences. 

Mission and Vision

The mission of School of Science is to present science as a well-argued and systematic inspection, identification, depiction, experimental investigation, and theoretical explanation of usual phenomena. Application of these principles in the natural sciences to include Physics, Chemistry, Biology, Zoology, Biochemistry, Computer Science and Statistics will be emphasized. The School of Science is a complete, student-oriented science faculty where research and education are closely related. The School will strain the significance of significant thinking and consistent reasoning using various methods of exploration, such as observation, assessment, experimentation, and mathematical manipulation of data. The School of Science is also dedicated to the notion that science has a matter-of-fact application and has to be understood in a larger intellectual context. It is through investigation that students are able to outlook science as an interdisciplinary study appropriate to society.

In addition, the School of Science serves as a resource to the neighboring society and beyond through seminars, conferences, workshops and training programs facilitated by our faculty. The School faculty is dedicated to serving students to become leaders in the service of others, as educators, scientists and in other professions. 

Faculty Members

  1. Prof. (Dr.) Ashutosh Gupta , Director,  School of Science

  2. Dr. Shruti, Sr. Assistant Professor (Statistics), School of Science

  3. Ms. Marisha, Assistant Professor (Computer Science), School of Science

  4. Mr. Manoj Kumar Balwant, Assistant Professor (Computer Science), School of Science

  5. Dr. Dinesh Kumar Gupta, Academic Consultant (Chemistry), School of Science

  6. Dr. Anamika Srivastav, Academic Consultant (Environment Science), School of Science

 The School of Science offers following programmes under the CBCS credit system:  

Programme offered by School of Science

 Doctoral (Regular Mode Only)

 Ph.D. –Computer Science
 Ph.D. –Statistics

Post Graduate Programme

M.Sc. - Statistics [M.Sc. (STAT)] / M. A. (Statistics) [MASTAT]]
M.Sc.- Computer Science [M.Sc.(CS)
M.Sc.- Bio-Chemistry [PGBCH]

Under Graduate Programme

 B.Sc. (Physics, Chemistry, Mathematics, Zoology, Botany, Statistics,  Computer Science, Bio-Chemistry) 

 Post Graduate Diploma Programme

Post Graduate Diploma Programme in Environment and Sustainable Development (PGD-ESD)
Post Graduate Diploma in Bio-Statisctics and Demography [PGDBSD]
Post Graduate Diploma in Bio-Statisctics and Population Studies  [PGDBSPS]

 Diploma Programme

 Diploma in Applied Statistics and Computer [DASC]

 Certificate Programme

Certificate in Applied Statistics and Computer [CASC]
Certificate in Forensic Science [CFS]
Certificate Course in Computer Animation [CCCA]
Certificate Course in Web Designing and Development [CCWD]
Certificate course in Waste Water Treatment [CWWT]
Certificate course in Natural Resources and Sustainable Development [CNSD]
Certificate course in Environmental Studies [CES]
Certificate Programme in Laboratory Technique [CPLT]

 All the curriculums offered at the School of Science are designed in such a way to generate a pool of highly qualified scientific talent who can fulfill the needs of society, institutions as well as the demands in an industry setting. Thus the programs ensure employability; address global demands and community development.

A.    Ph.D. program in Statistics and Computer Science (Regular mode)

 The School of Science offered Ph. D. in Statistics and Computer Science.
Eligibility: The eligibility for enrolling in Ph.D. programme is as per UGC Regulation 2016 and any subsequent changes thereof issued by UGC shall be followed. 

 A.    Post Graduate Programmes

School of Sciences offers the Post Graduate Programme in Statistics, Computer Science and Bio-Chemistry in which Bio-chemistry and Statistic are based on yearly examination system while the Computer Science follows semester system. The curriculum intends to open new doors of systematic knowledge of the subject to the students having graduation in science. The objectives of these programmes are to prepare the incumbents to take the challenges of research and developments in the fields of science. 

  Annual Basis Programme

 The two year M.Sc./M.A. programme is designed to help all the students to get good quality education in the field of Statistics and Biochemistry so that they can find employment after their Post graduation. The curriculum intends to open new doors of systematic knowledge of the subject to the students having graduation in science. The objectives of this programme are to prepare the incumbents to take the challenges of research and developments in the fields of science. The minimum and maximum progarmme duration to pass the course is 02 years and 04 years respectively.    

 1. M.Sc. Biochemistry Eligibility:

Three year Bachelor degree with concerned subject {B.Sc.(Bio)/B.Sc.(Honours)(Bio)} with Chemistry as one of the subject or Biochemistry/Microbiology/Biotechnology at B.Sc. Level). The fee for the programme is Rs. 8100.00 p.a. and this is offered only in English medium.

2. M.Sc. Statistics Eligibility: The eligibility for this programme is Three year Bachelor Degree in Mathematics/Statistics. The fee for the programme is Rs. 8100.00 p.a. and this is offered only in English medium. 

 3. M. A. (Statistics) Eligibility: The eligibility for this programme is Three year Bachelor Degree in Mathematics/Statistics. The fee for the programme is Rs. 7100.00 p.a. and this is offered only in English medium.  

 Semester Basis Programme

1. M.Sc. Computer Science

The two year M.Sc programme, M.Sc.(CS), is designed to provide a postgraduate and core level knowledge in computer science help all the students to understanding, analysis, management, and handling of real life information technology problems in workplace. The programme provides a positive attitude towards and willingness to communicate and cooperate effectively and take up leadership opportunities. The minimum and maximum progarmme duration to pass the course is 02 years and 04 years respectively.  The eligibility for this programme is Three year Bachelor Degree with Computer science. The fee for the programme is Rs. 12100.00 p.a. The course is offered in only English medium. 

 A.    Bachelors Degree Programme
The main aim of the three year annual basis B.Sc. Programme is to provide opportunities for higher education in science to in service and other people living in rural/remote areas and belonging to disadvantaged sections of the society, and to promote scientific temper in everyday life. A student who wants to take B.Sc. degree may select one of the following combinations of science subjects: 

Subject Combinations:

a)      Physics, Chemistry, Mathematics
b)      Physics, Mathematics, Computer Science
c)      Physics, Mathematics, Statistics
d)     Physics, Statistics, Computer Science
e)      Botany, Zoology,  Chemistry
f)       Botany, Zoology, Bio-Chemistry
g)      Physics, Chemistry, Statistics
h)      Mathematics, Statistics, Computer Science 

The minimum and maximum progarmme duration to pass the course is 03 years and 06 years respectively.  The eligibility for this programme is 10+2 (Science Group) and the fee for the programme is Rs. 6100.00 p.a. The course is offered in both English and Hindi medium. The SLM of Statistic, Computer Science and Bio-Chemistry is available in English only.

 A.Post Graduate Diploma Programmes
This programme is designed to equip the graduates of different disciplines with the necessary knowledge of some essential subjects. The courses have been designed keeping in mind the present day requirement of the students as well as employers and are aimed at increasing the employability of the graduates and enhancing their career prospects. The School of Science currently offers:

 1.      Post Graduate Diploma Programme in Environment and Sustainable Development (PGD-ESD)

The objectives of the programme are to disseminate information and exchange knowledge and experience gained in the pursuit of the goal of sustainable development, strengthen regional co-operation in environmental capacity building especially in the area of environment management, educate and train individuals from different walks of life viz., development functionaries, environmentalists who have a stake in protecting the environment as well as ensuring a better quality of life for the people of their countries. The minimum and maximum progarmme duration to pass the course is 01 years and 03 years respectively.  The eligibility for this programme is Three Year Bachelor Degree and the fee for the programme is Rs. 7100.00 p.a. The course is offered only in English medium.

 2.      Post Graduate Diploma in Bio-Statistics and Demography (PGDBSD)

This Course will provide students knowledge and understanding of biostatistics and demographic methods. Learners will learn about their applications in various fields. In India, there is a serious shortage of biostatisticians and demographers. The aim of this course is to equip learners with some knowledge in this fields and also learns will trained in this fields. The minimum and maximum progarmme duration to pass the course is 01 years and 03 years respectively.  The eligibility for this programme is Three years Bachelor Degree and the fee for the programme is Rs. 8100.00 p.a. The course is offered only in English medium.

 3.      Post Graduate Diploma in Bio-Statisctics and Population Studies  (PGDBSPS)

This Course will provide students knowledge and understanding of biostatistics and population sciences. Learners will learn about the linkages between population and various dimensions of socio-economic, health and environmental development. This course is also providing an idea to conduct further studies in various aspects of population and its development in different fields. The minimum and maximum progarmme duration to pass the course is 01 years and 03 years respectively.  The eligibility for this programme is Three years Bachelor Degree and the fee for the programme is Rs. 8100.00 p.a. The course is offered only in English medium.

 E.  Diploma Programmes
The objective of this programme is to provide a broad base foundation in the related area of sciences as well as applied fields of sciences. The School of Sciences offers one year diploma programme in ‘Applied Statistics and Computer’ (DASC). The aim of this programme is to provide the knowledge of fundamental statistics and basics of computers to the learners. The minimum and maximum progarmme duration to pass the course is 01 years and 03 years respectively.  The eligibility for this programme is 10+2 (Science Group) and the fee for the programme is Rs. 4600.00. The course is offered in only English medium.

 F. Certificate Programmes

  1. Applied Statistics and Computer
  2. Forensic Science
  3. Computer Animation
  4. Web Designing and Development
  5. Waste Water Treatment 
  6. Natural Resources and Sustainable Development
  7. Environmental Studies
  8. Laboratory Technique 

 1.Certificate in Applied Statistics and Computer (CASC)
The objective of this Programme is to provide the basic knowledge of statistics and computers to the learners.  The minimum and maximum progarmme duration to pass the course is 1/2 years and 02 years respectively.  The eligibility for this programme is 10+2 (Science Group) and the fee for the programme is Rs. 2000.00. The course is offered in only English medium.

 2. Certificate in Forensic Science (CFS)

The objective of this Programme is to equip the learners with the basics of forensic science. The minimum and maximum progarmme duration to pass the course is 1/2 years and 02 years respectively. The eligibility for this programme is 10+2 (Science Group) and the fee for the programme is Rs. 6000.00. The course is offered in only English medium.  

3. Certificate Course in Computer Animation (CCCA)
Animation involves creating moving images with the help of computers. This technique is widely used in a number of applications such as, films, televisions, video games, advertisements. The course objective of Computer Animation course is designed to give the students an introductory knowledge of Computer Animation and equip them with basic tools and techniques used in creating animations. The minimum and maximum progarmme duration to pass the course is 1/2 years and 02 years respectively. The eligibility for this programme is 10+2 and the fee for the programme is Rs. 5600.00. The course is offered in only English medium.

4. Certificate course in Web Designing and Development (CCWD)

The course objective of Web designing is a significant part of the Information Technology industry with wide applications in almost every walk of life including industries, business and education. This course focuses on designing and development of websites. It is aimed at providing basic programming in HTML, CSS and using JSP and Javascript. The students will also learn PHP, working with relational database server MySQL and using PHP with MySQL. This course has wide applicability for people belonging to different disciplines and will prove useful for anyone who is looking for a career in web designing and development. The minimum and maximum progarmme duration to pass the course is 1/2 years and 02 years respectively. The eligibility for this programme is 10+2 and the fee for the programme is Rs. 5600.00. The course is offered in only English medium.

5. Certificate course in Waste Water Treatment (CWWT)
The purpose of this study program is to develop a new qualified person to be able to solve the issues of waste water generation and its management. They would be able to familiarize with the concept of waste water sources, chemistry, and the methodologies to dispose, handle, and treatment of waste water. They would be provided with the technical information to operate wastewater treatment plant. The minimum and maximum progarmme duration to pass the course is 1/2 years and 02 years respectively. The eligibility for this programme is 10+2 and the fee for the programme is Rs. 4500.00. The course is offered in only English medium.

6. Certificate course in Natural Resources and Sustainable Development (CNSD)
The purpose of this study program is to familiarize the person with the concept of Natural resources and sustainable development. The need is to develop knowledge, and appreciative awareness; this program reflects firm commitment towards preserving and conserving the entire elements for the progressive development as Sustainable development is a continuous learning process about making decisions that consider persistent future of the natural resources. The minimum and maximum progarmme duration to pass the course is 1/2 years and 02 years respectively. The eligibility for this programme is 10+2 and the fee for the programme is Rs. 4500.00. The course is offered in only English medium.

7. Certificate course in Environmental Studies (CES)

The need of studying Environmental Studies is to develop knowledge, and skill; create awareness and sensitivity towards total environment. The purpose is that a person should be well-knowledgeable to practically solve day-to-day environmental issues and would be able to imbibe and inoculate the necessity for conservation, and preservation of environment. Environmental Studies is a make- a- difference major and this major reconnect the person with the root of the surroundings. The minimum and maximum progarmme duration to pass the course is 1/2 years and 02 years respectively. The eligibility for this programme is 10+2 and the fee for the programme is Rs. 1100.00. The course is offered in only English medium.

8. Certificate Programme in Laboratory Technique (CPLT)

The broad objectives of this programme are to familiarise the learners with the basic facilities available in school and college level Biology, Chemistry and Physics laboratories and impart knowledge of the basics of organization and management of science laboratories. The course will train the learners in the operation and maintenance of simple instruments used in science laboratories; and to enable them to develop skills in common laboratory techniques. The learner will also train in the procedures of procurement and storage of laboratory equipment and materials and adopt appropriate disposal procedures and safety methods suitable for laboratories. This programme is intended for persons employed as or aspiring for employment as laboratory technicians in school or college laboratories. This academic programme has been designed to train laboratory supporting staff in appropriate procedures for organizing and maintaining school/college laboratories.
The minimum and maximum progarmme duration to pass the course is 1/2 years and 02 years respectively. The eligibility for this programme is:

Pass in 10+2 standard or equivalent with science subject


Pass in 11th standard higher secondary or equivalent with science subjects and one year of experience of working in a school/college/university science laboratory 

Pass in X standard or equivalent with science subjects and two years of experience of working in a school/college/university science laboratory and the fee for the programme is Rs. 5600.00. The course is offered in only English medium. 





Page No


M.Sc. Biochemistry [PGBCH]



M.Sc. Statistics [PGSTAT] / M. A. (Statistics) [MASTAT]



M.Sc. Computer Science [M.Sc.-CS]



B.Sc. (Physics, Chemistry, Mathematics, Zoology, Botany, Statistics,
Computer Science, Bio-Chemistry)



Post Graduate Diploma Programme in Environment and Sustainable Development (PGD-ESD)



Post Graduate Diploma in Bio-Statisctics and Demography [PGDBSD]



 Post Graduate Diploma in Bio-Statisctics and Population Studies [PGDBSPS]



 Diploma in Applied Statistics and Computer [DASC]



Certificate in Applied Statistics and Computer [CASC]



 Certificate in Forensic Science [CFS]



Certificate Course in Computer Animation [CCCA]



Certificate Course in Web Designing and Development [CCWDD]



Certificate course in Waste Water Treatment [CWWT]



Certificate course in Natural Resources and Sustainable Development [CNSD]



Certificate course in Environmental Studies [CES]



Certificate Programme in Laboratory Technique [CPLT]



 Compulsory Foundation Course



Gandhian Thoughts and Peace Studies [PGFGS]



Human Rights and Duties [PGFHR]



Foundation Course in Open and Distance Learning [UGFODL]



Foundation Course in Environment Awareness [CHEQ/EA]



Foundation Course in Information Technology [UGFIT] 



Elective Foundation Course



Foundation Course in Humanities and Social Science [UGFHS]



Foundation Course in English [UGFEG]



Foundation Course in Hindi [UGFHD]



Foundation Course in Disaster Management [DM] 



Human Environment [AOCHE]



Solid waste Management [SWM]



Nutrition for the Community [AOCNC]



Skill Based Programs



Microsoft Office and Internet [UGSSC-01]



Introduction to Yoga and its Stream [UGSSC-02]



Medicinal Plants: Introduction & Significance [UGSSC-03]



Diet Therapy [UGSSC-04]



Public Health & Hygiene [UGSSC-05]



Programming and Problem Solving Using C [UGSSC-06]



Fundamentals of Computer and IT [UGSSC-07]



Computer Network and Security Maintenance [UGSSC-08]



Agriculture & Environment [UGSSC-09]



Energy & Environment [UGSSC-10]



Environment & Development [UGSSC-11]


 1. M.S.c. Biochemistry ??? ????? (PGBCH)


Paper No.

Course Code

Title of the Course


Compulsory Elective

      Compulsory Core Course





Ist Year





Cell Biology & Bimolecules

Analytical Biochemistry








Nutrition and  Physiology

Bioenergetics and Metabolism





PGBCH-05 (P)

Practical based on PGBCH-01, 02,03 and 04



Discipline-Centric Elective Course (Select any two with 04-04=8 Credits)







Advance Immunology


Research Methodology





Open Elective Course (Other Disciplines)















First Year Total credit                                         40


Compulsory Core Course





IInd Year





Microbiology and  Immunology

Enzymology  and Enzyme Technology








Basic Biotechnology

Industrial Biochemistry






Practical based on PGBCH-10, 11, 12 and 13



Discipline Centric Course




Clinical Biochemistry



Open Elective Course (Other Discipline)










Cognitive Science and Human Behavior









 Compulsory Foundation Course







Gadhian Thoughts and Peace Studies


Human Rights and Duties




Second Year Total credit                                      


Total credit of Programme




(Cell Biology and Bio-molecules)

Cell Biology: Biochemical organization, general structure of prokaryotic and eukaryotic cell, structure of cell wall and cell membrane, nucleus, endoplasmic reticulum, mitochondria, chloroplast, golgi apparatus, ribosomes, lysosomes, cytoskelcton.


Biomolecules: Corbohydrates- Classification, structure and properties of monosaccharides, disaccharides and polysaccharides. Proteins- Primary, secondary tertiary and Quaternary structures, structure of hemoglobin. lipids- Types, structure and function of lipids. Enzymes- General properties, classification, enzyme catalysed reactions and kinetics. Nucleic acids structure and function of nucleotides, structures of RNA and DNA, denaturation of DNA.


(Analytical Biochemistry)

Spectroscopy- Visible and UV Spectroscopy and its applications.

Chromatography- Principle, thin layer, ion exchange and gel filtration chromatography. HPLC, FPLC

Centrifugation- Principles of centrifugation, types of centrifuge, differential centrifugation, density gradient, ultracentrifugation.

Electrophoretic techniques- general principles, electrophoresis of proteins, PAGE and SDS-PAGE, Agarose gel electrophoresis for DNA, Isoelectric- focusing

Microscopy- basic principles, light and election microscopy

PGBCH-03(N)/ PGBCH-04(O)

Basic Concepts - Function of nutrients. Measurement of caloric value of food. Basal metabolic rate (BMR); factors affecting BMR. Recommended dietary allowances.

Elements of  Nutrition - Dietary requirement of carbohydrates, lipids and proteins. Concepts of protein quality. Essential amino acids, essential fatty acids and their physiological function.

Vitamins and Minerals - Dietary sources, biochemical functions, requirements and deficiency diseases associated with vitamin B complex.

 Introduction to Physiology. Blood - Composition and functions of plasma, erythrocytes, Leucocytes and thrombocytes. Blood coagulation.

Digestive system -  Compositions, functions and regulation of saliva, gastric, pancreatic, intestinal and bile secretions.


Respiration – Air passages and lung structure, work of breathing and its regulation.

PGBCH-04(N)/ PGBCH-05(O)
(Bioenergetics and Metabolism)

Bioenergetics -  General concepts. Biological oxidation-reduction reactions, redox potentials. High energy phosphate compounds-ATP, Phosphate group transfer.

Coenzymes and Cofactors - Types and function of NAD+,FAD, Pyridoxal phosphate and B12 coenzymes.

Carbohydrate Metabolism – Glycolysis, fermentation, TCA cycle, electron transport chain, oxidative phosphorylation, gluconeogenesis. Energetics and regulation of metabolic cycles.

Amino acids - Types and classification. General reactions of  amino acids metabolism, transamination, decarboxylation, deamination. Special metabolism of methionine, tryptophan and leucine. 

Urea cycle – Metabolism and regulation.

PGBCH-05(P) (N) / PGBCH-03(P) (O)
Based on PGBCH-01,02,03,04

  1.  Estimation of carbohydrates using colorimetric methods.
  2.  Determination of protein using biuret reagent
  3.  Estimation of RNA using orcinol reagent
  4.  Assay of urease activity in needs of cayanus cajans.
  5.  Tests for amino acids.
  6.  Separation and identification for amino acids by paper chromatography.
  7.  Ascorbic acod (Vitamin C) measurement by titrimetric method using dye DCPIP.
  8.  Microscopic study of blood cells.
  9.  Urea estimation of biological samples by colorimetic method.

PGBCH-06 (N)
(Advance Immuunology)

 Part I

  •  Introduction
  •  Innate Immunity
  •  Acquired Immunity

Part II

  • Cells and Organs of immune System
  • Antigens or Immunogens
  • Major and Minor histocompatibility complex
  • Antibodies (Immuno-globulins)
  • Antigens- Antibody interactions
  • Organization and expression of immunoglobulin genes.

 Part III

  • B-cells maturation, activation and differentiation
  • T-cell maturation, activation and differentiation
  • T-cells and B-cells reports
Part IV
  • Antigens processing and presentation
  • Effecter responses of cell- mediated and hum oral immunity
  • Cytokines
  • Complement system
  • Vaccines
Part V
  • Immune response to infection diseases
  • Hypersensitivity
  • Transplantation Immunology
  • Immunologic Tolerance
  • Immunology of Tumors
  • Immunodeficiency Diseases

(Research Methodology)

1) Introduction to Research Methodology : Meaning of Research, Objectives of Research, Motivations in Research, Types of Research, Research Approaches, Significance of Research, Research Methods v/s Methodology, Research and Scientific Methods, Research Process, Criteria of Good Research

2) Defining the Research Problem : What is Research Problem?, Selecting the Problem, Necessity of and Techniques in defining the problem

3) Sample Design: Implication, Steps. Criteria for selecting a sample procedure, Characteristics of Good sampling Procedure, Types of Sample Design, Selecting Random Samples, Complex random sampling Design.

4) Methods of Data Collection: Collection of Primary Data, Observation Method, Interview method, Collection of Data through questionnaire and Schedules, Other methods. Collection of Secondary Data, Selection of appropriate method for data collection, Case Study Method, Guidelines for developing questionnaire, successful interviewing. Survey v/s experiment.

5) Processing and Analysis of Data: Measures of Central Tendency, Dispersion,. correlation and Regression, Chi- square test : Applications, Steps, characteristics, limitations, Analysis of Variance and Co-variance.

6) Testing of Hypothesis: Meaning, Basic concepts, Flow diagram, Power of a hypothesis test, Important parametric tests, Hypothesis Testing of Means, hypothesis testing of Correlation coefficients, Limitations of Tests of hypothesis.

7) Computer Fundamentals- Computer Basics, Data Representation, Input / Output Units, Computer memory, Computer Generation and Classification, Computer Languages, OS, Types of OS, Services and Components of OS, Computer Networks, LAN, MAN, WAN, Internet and WWW, E-mail.

8) Introduction to Word processing package- Creating and Editing a word document, creating a research paper, creating a cover letter and a resume, Creating a document with a title page, table, chart and watermark, Creating a webpage using word, Mail Merge, creating a professional newsletter.

9) Introduction to Spreadsheet package-Features and functions of spreadsheet, creatng spreadsheet and enter data, format worksheets, adding graphics, printing, Calculate, manipulate and analyse data, cstom calculations, consolidating worsheets, pivot tables, charts, performing what - if analysis. 

10) Introduction to Presentation Tools- Features and functions, Creating presentation, master page, adding animation, Customizing presentation, showing presentation, printing handouts.

PGBCH-08 (N)

1. Role of Biostatistics in Health Sciences

Introduction, What Are Statistics?, Why Study Statistics?, Practical Applications, Statistics in Medical Research, Statistics in Epidemiological Research, Statistics in Public Health and Policy,Statistics in Social Sciences, Misuses, Role of Statisticians. 

2. Summarisation and Presentation of Data

Introduction, Types of Data, Summarising Data, Summarising Grouped Data, Presentation of Data, Graphical Presentation, Key Points 

3. Probability

Introduction, Basic Concepts, Probability, Classical and Frequentist Approaches to Probability, The Additive Law of Probability, The Multiplicative Law of Probability, Bayes’ Theorem 

4. Probability Distributions

Introduction, Frequency Distribution, Histograms and Bar Plots: Tools for Describing the Frequency Distribution, Relative Frequency, Probability Distribution, Discrete Probability Distributions, Probability Density Function, Cumulative Distribution Function, Continuous Probability Distributions, Properties of Distributions, Assessing the Fit of Distributions, Standardised Scoring, Transformations* 

5. Sampling Methods

Introduction, Defining the Population, Requirement of a Good Sample, Sampling and Non-sampling Errors, Advantages of Sampling, Random and Non-random Sampling, Simple Random Sampling, Systematic Random Sampling, Complex Sampling Schemes, Non-probability Sampling Methods

6. Estimation

Introduction, Estimation Theory*, Terminology in Statistical Inference, Sampling Distribution, Standard Error, Central Limit Theorem, Exact Sampling Distribution, Confidence Intervals, Confidence Intervals for Small Samples, Explanation of ‘a’ and ‘d’ and their Relationship** 

7. Testing of Statistical Hypotheses

Introduction, Hypotheses, Need for Testing Hypotheses within a ‘Statistical’ Framework, Statistical Test, Parametric Tests, One-Sample T-test, Steps Involved in Testing of Hypothesis, Test for the Difference of Means between A Paired Sample, Test for Difference in Two Independent Means, Test for Difference in Two Independent Proportions, Interpreting Statistical Significance from Confidence Intervals, Issues in Statistical Significance, Student’s ‘T’ Distribution: An Exact Sampling Distribution*, Two Schools of Thought—‘Signifi cance’ and ‘Hypothesis’ Testing** , Issues Concerning P-values* , Some Common Misuses of Tests, A Note on Transformations 

8. Analysis of Variance and Multi-sample Comparison

Introduction, Why it is Not Appropriate to use Multiple T-tests?, One-way Analysis of Variance, Multiple Comparison Procedures, Assumptions, Relationship between One-Way Anova and Two Sample T-test, Relationship between One-Way Anova and Multiple Regression, Two-Way Anova, Analysis of Covariance, Repeated-Measures Anova, Fixed and Random Effects 

9. Hypothesis Testing – Categorical Data

Introduction, Chi-Square Test for Association, Types of Chi-Square Tests, Test for Independence, Test for Homogeneity, Comparison of Chi-Square Test with Normal Test, Fisher’s Exact Test for 2x2 Tables, Comparison of Two Correlated Proportions—Matched Pair, Chi-Square Test for Trend 

10. Non-parametric Methods

Parametric and Non-parametric Methods, Rational for Using Non-parametric Methods, Advantages and Disadvantages, Wilcoxon Signed Rank Test, Wilcoxon Rank-Sum Test, Kruskal–Wallis Test, Spearman’s Rank Correlation 

11. Correlation and Regression

Introduction, Scatter Plot, The Correlation Coefficient, Hypothesis Testing and Interval Estimation for Correlation Coefficient, Partial Correlation Coefficient, Precautions in Use and Interpretation, Linear Regression, Analysis of Variance for Regression, Coefficient of Determination, Non-linearity, Uses of Regression, Prediction, Checking the Assumptions in a Regression Analysis, Regression to the Mean* 

12. Epidemiologic Study Designs and Analysis

Introduction, Historical Overview, Epidemiology, Measures of Disease Frequency, Epidemiological Study Designs, Bias, Confounding and Interaction, Causality 

13. Clinical Trials

Introduction, Defi nition of a Clinical Trial, Historical Review, Types of Trial, Phases of the Trial, Study Design, Control Group, Randomisation, Methods of Randomisation, Allocation Concealment,Blinding, Types of Randomised Controlled Trials (RCT), Designs for Clinical Trials, Analyses of Clinical Trials, Reporting of Randomised Controlled Trials (RCT), Ethics 

14. Diagnostic Tests

Introduction,Diagnostic Test Studies,Diagnostic Test Accuracy , Measures of Discrimination ,Measures of Prediction,Likelihood Ratios ,The Receiver Operating Characteristic Curve (ROC), Illustration 

15. Survival Analysis

Introduction, Censoring, Why Survival Analyses?, Definition of Survival Times, Summarising and Presentation of Survival Times, More on Survival Function and Curves 

16. Clinical Measurements

Introduction,Properties of Measurement, Accuracy and Precision, Measurement Error, Coefficient of Variation (CV), The Intra Class Correlation Coeffi cient (ICC),Correlation Coeffi cient and Its Misuse ,Observer Variation, Reference Intervals, Cronbach’s Alpha, Method Comparison Studies ,Non -numerical Measurements ,Digit Preference 

17. Demographic Methods and Vital Statistics

Introduction, Sources of Vital Statistics and Demographic Data , Vital Statistics : Rates, Ratios and Proportions,Measures of Mortality,Measures of Fertility ,Measures of Morbidity,The Adjustment of Rates 

18. Applied Regression Analysis and Multivariable Methods

Introduction ,Multiple Regression Analysis,Logistic Regression Analysis, Cox (Proportional-hazards) Regression Analysis, Log–Linear Analysis, Principal Component Analysis and Factor Analysis, Classifi cation Techniques: Cluster and Discriminant Analysis

19. Research Methods

Introduction, Characteristics of Scientifi c Research, Purpose of the Scientifi c Research, Steps in Conducting a Scientifi c Research, Reporting the Research Findings, Designing Data Collection Forms, Preparing the Data for the Analysis, Statistical Consultations,Limitation of the Scientific Research 

20. Sample Size

Introduction, The Importance of Sample Size Calculations, Basic Approach to Sample Size Calculations, Sample Size for Descriptive Studies, Sample Size to Estimate Mean with a Given Precision, Sample Size for Comparative Studies, Calculating Sample Size to Compare Two Means with a Given Power, Calculating Sample Size to Compare Two Proportions with a Given Power, Case-Control Studies, Cross-Over Study Design, Practical Issues with Sample Size Calculations  

21. Meta Analysis in Systematic Reviews 

Introduction, Systematic Review, Meta Analysis, Fixed Effects, Random Effects, Heterogeneity in Meta Analysis, Bias, Software for Meta Analysis 


Part I: Introduction to Bioinformatics

A world on Bioinformatics: Introduction, Branches of Bioinformatics, Aim of Bioinformatics, Scope/ Research Ares of Bioinformatics

Part II: Biological Databases

Sequence and Molecular File Formats: Introduction, Sequence File Formats, Sequence Conversion Tools, Molecular File Formats, Molecular File Format Conversion

Database in Bioinformatics- An Introduction: Introduction, Biological Databases, Classification Schema of Biological Databases, Biological Database Retrieval Systems

Biological Sequence Databases:  National Center for Biotechnology Information (NCBI), Tools and Databases of NCBI, Database Retrieval Tool, Sequence Submission to NCBI, BLAST, PSO- BLAST, Specialized Tools, Databases of NCBI, Nucleotide  Database , Protein Database, Gene Expression Database, GEO, Structural Database, Chemical Database, Other Database,

EMBL Nucleotide Sequence Database: Introduction, Sequence Retrieval, Sequence Submission at EMBL, Resources of EMBL, Biological Annotation and Data Curation,  Sequence Analysis Tools, Features of Database

DNA Data Bank of Japan (DDBJ): Introduction, Resources at DDBJ, Data Submission to DDBJ

 Protein Information Resource (PIR): Introduction, Resource of PIR, Data Retrieval in PIR, Database of PIR

Swiss Prot: Introduction, Features of Swiss Prot.

Protein 3D Structure and Classification Database: Protein Database Bank, Harnessling Data From PDB, Data Deposition Tools, PDB Data, RCSB PDB Structural Genomics Information Portal,

Molecular Modeling Database (MMDB): Introduction, Retrieval of structural Database From MMDB, Converted Domain Database (CDD)

E-MSD: Introduction, Resources of EMSD, Data Submission at E-MSD, Search Systems of E-MSD, 3D-Genomics, Accessing 3D- genomics, E- gene 3D, Retrieving Data from Gene3D, Protein Structural Classification Database: CATH: Class, Architecture, Topology, Homologous, SCOP (Structural Classification of Protein)

Part III: Bio-Algorithms and Tools

Sequence Alignments: Introduction, Concept of Alignment, Scoring Matrices, PAM,, BLOSUM, Alignment of Pairs of Sequences, Alignment Algorithms, Heuristic Methods, Multiple Sequence Alignment (MSA)

Gene Prediction Methods Principles and Challenges: Introduction, Biological Overview, What is Gene Prediction, Computational Methods of Gene, Prediction, Methods of Gene Prediction, Combination of Two Methods, Why is Gene Prediction Difficult?

Molecular Phylogeny: Introduction, Phenotypic Phylogeny and Molecular Phylogeny, Representation of Phylogeny, Molecular Clocks, Methods of Phylogeny, Statistical Evaluation of the Obtained, Phylogenetic Trees or Validation Methods, Software for Phylogenetic Analyses, Reliability of Molecular Phylogenetic Prediction

Molecular Viewers: Introduction, A Few Molecular Viewers RasMol, Deep View- The Swiss PDB Viewer (SPDBV), Cn3D.

Part IV: Protein Modeling and Drug Design

Protein Structure and Modelling: Protein and Secondary Structure Prediction, Conformational Parameters of Secondary Structure of a Protein, Secondary Structure Types, Secondary Structure Prediction Software for Secondary Structure Prediction.

Protein Modelling: Introduction, Methods of Protein Modelling, Homology or Comparative Modelling, Model Refinement, Evaluation on the Model Hands on in Comparative Modelling using Swiss-model, Treading or Fold Recognition Ab initio/ De novo Method

Bioinformatics in Computer- aided Drug Design: Introduction, The Drug Discovery Process, Structural Bioinformatics in Drug Discovery, SAR and QSAR Techniques  in Drug Design, Graph Theory, Molecular Docking, Recent Upcoming- A Briefing on Drug Bank, Auto Dock- The Docking Software and Auto Dock Tools (ADT)

Part V: Modelling of Biomolecular Systems

Simulation and Statistical Protocols: Introduction, Monte Carlo Methods, Molecule Dynamics, Energy Minimization, Leading MD Simulation Packages

Markov Chain and Hidden Markov Models: Introduction, Markov Chains and HMM, Application of Viterbi Algorithm, Application of HMMs to Specific Problems, Ad vantages of HMMs

Biochemical Networks:  Introduction, Concept, Methods of Simulation, System, Reaction Networks, Model of a Biochemical Network, Sources of Biochemical Pathway Data, Tools for Biochemical Networks

Part VI: Bioinformatics Essentials 

Commercial Bio-software: Introduction, GCG Wisconsin Package, Insight II, Discovery Studio2.0 

PCBCH- 10(N)/ PGBCH-07(O)
(Microbiology and Immunology)

Prokaryotic and Eukaryotic cells, Modern approaches to bacterial taxonomy, Methods in microbiology, Microbial growth, Metabolic diversity among micro organisms, Host-parasite relationship, Microbial diseases with reference to tuberculosis, cholera, AIDS, Rabies, Food born discases, Bacterial transduction, conjugation and recombination, Antibiotics- mode of action, mechanism of drug resistance.

PCBCH-11(N)/ PGBCH-08(O)
(Enzymology and Enzyme Technology)

Nomenclature and classification of enzyme, General Properties of enzymes- active sites, cofactors and specificity, Enzyme Kinetics, Mechanism of Enzyme, action and regulation, Isozymes, Multi-enzymes with principales and applications of the involved techniques, Enzyme immobilization- methods, Applications, advantages and disadvantages.

PCBCH- 12 (N)/ PGBCH-10(O)
(Basic Biotechnology)

Rule of Biotechnology in medicine, Industry, Agriculture and Environment, Production of bread, Beer, Cheese and antibiotics, Enzyme Biotechnology, Cell Culture- Methods and applications,
Bio-transformations, Immunochemical Applications, Microbial Polysaccharides and single cell oils, Upstream and downstream processing. Microbial Biotechnology, Principles and Applications of Bio techniques, Food Biotechnology

PCBCH-13(N)/ PGBCH-10(O)
(Industrial Biochemistry)

Classification, Structure and properties of amino acids, Structure and function of proteins, DNA- Protein and Protein- Protein interaction, protein folding and related diseases, protein, Sequencing, proteomics. Nucleic Acids, Waston-Crick model of DNA, Structural Polymorphism of DNA and RNA, Biosynthesis of purines and pyrimidines, DNA- drug interaction. Carbohydrates- Classification and structure, their synthesis and breakdown. Classification, structure and functions of lipids, oxidation of lipids, biosynthesis of fatty acids. Metabolomics.

PGBCH-14 (Practical)

Based on papers PGBCH-10,11,12 and 13

PGBCH-16 (N)
(Cognitive Science and Human Behaviour)

Part I

  • Applied cognitive psychology
  • Memory improvement
  • Everyday Memory

Part II

  • Working Memory and performance limitations
  • Skill, Attention and cognitive failure
  • Biological cycles and cognitive performance

Part III

  • Drugs and Cognitive performance
  • Intuitive statistical, judgment and decision
  • Auditory perception
  • Reading and Dyslexia

(Clinical Biochemistry)

What is Clinical Biochemistry Input:-

  • Nutrition and drugs
  • Digestion
  • Control
  • Genetic Control
  • Endocrinology Chemistry Control
  • Thyroid Harmon
  • Control of water and Electrolyte Metabolism
  • Control of Calcium Metabolism
  • Control of Carbohydrates Metabolism


  • Enzymes
  • Labour errors of metabolism
  • Transport and Storage
  • Plasma Proteins
  • Lipids and Lipoproteins
  • Acid base balance and blood gases


  • Immunoglobins
  • Protein of the innate immune system


  • Kidney function
  • Liver function

(Neuro- Science)

Section A- Organization of the Nervous System

  • Neuron Structure
  • Neuron diversity
  • Glial cells and myelination
  • Organization f the peripheral nervous system
  • Organization of the central nervous system
  • Brain imaging
  • Meninges and cerebrospinal fluid
  • Blood-brain barrier

Section B- Neuron excitation

  • Resting potentials Action potentials
  • Voltage dependent ion channels
  • Channel molecular biology
  • Action potential conduction

Section C- Synapses

  • Morphology of chemical synapses
  • Overview of synaptic function
  • Postsynaptic events
  • Neural integration
  • Nurotransmitter release
  • Calcium channels
  • Neurotransmitter inactivation

Section D- Neurotransmitters

  • Ionotropic receptors
  • Metabotropic receptors
  • Amino acid transmitters
  • Dopamine
  • Noradrenaline (norepinephrine)
  • Serotonin
  • Acetylcholine
  • Purines and peptides

Section E- Neural Coding

  • Information representation by neurons
  • Frequency coding
  • Location coding
  • Modality
  • Elementary neural circuits

Section F- Somatosensory System

  • Sensory receptors
  • Touch
  • Pain
  • Pain modulation
  • Balance
  • Section G- Vision
  • Attributes of vision
  • Eye an visual pathways
  • Retina
  • Phototransduction
  • Retinal processing
  • Early visual processing
  • Parallel processing in the visual system
  • Oculomotor control

Section H- Hearing

  • Acoustics and audition
  • Anatomy and physiology of the ear
  • Peripheral auditory processing
  • Central auditory processing
  • Section I- Smell and taste
  • Olfactroy receptor neurous
  • Olfatory pathways
  • Taste
  • Taste pathways

Section J – Motor function: spinal cord and brainstem

  • Nerve muscle synapse
  • Motor units and motor pools
  • Elementary motor reflexes
  • Spinal motor function
  • Brainstem postural reflexes

Section K – Movement: Cortex, Cerebellum and Basal Ganglia

  • Cortical control of voluntary movement
  • Motor lesions
  • Anatomy of the cerebellum
  • Subdivisions of the cerebellum
  • Cerebellar cortical circuitry
  • Cerebellar function
  • Anatomy of the basal ganglia
  • Basal ganglia function

Section L- Neuroendocrinology and Autonomic Functions

  • Anatomy and Connections of the hypothalamus
  • Posterior Pituitary function
  • Neuroendocrine control of metabolism and growth
  • Neuroendocrine control of reproduction
  • Autonomic nervous system function
  • Control of autonomic function

Section M- Developmental Neurobiology

  • Emotion
  • Motivation and Addiction
  • Control of feeding
  • Brain Biological clocks
  • Sleep

Section N – Developmental Neurobiology

  • Early patterning of the nervous system
  • Cell determination
  • Cortical development
  • Axon pathfinding
  • Synaptogenesis and developmental plasticity
  • Neurotrophic factors
  • Brain sexual differentiation

Section O- Memory and Cognition
Types of learning
Physiological psychology of memory
Cell physiology of learning
Arousal and attention

Section P – Brain Disorders
Strokes and excitotoxicity
Parkinson’s disease
Alzheimer’s disease

Books Recommended:

1.      PGBCH-01, 02, 03, 04, 11, 13

Principles of Biochemistry: Lehninger, Nelson and Cox. Student Edition, CBS 1439 Publishers and Distributors, Delhi.

Fundamentals of Biochemistry: Dr J L Jain, S. Chand & Company

Textbook of Biochemistry and Human Biology: Talwar and Srivastava. Eastern Economy Edition, Prentice Hall, India.

2.             PGBCH-05(P) and 14(P), 

An Introduction to Practical Biochemistry: DT Plummer, Tata McGraw-Hill Publishing Co.Ltd. New Delhi.

3.         PGBCH-06

                                    Immunology, C Vaman Rao, Narosa Pub.

4.         PGBCH-07

                                    Research Methodology, Ranjit Kumar, Pearson Pub.

Research Method, G Rugg and M. Petre

5.         PGBCH-08

                                    Elements of Biostatistics, S Prasad, Rastogi Pub.

                                    Biostatistics Principles and Practice, B. Antonisamy, Tata McGraw-Hill Publishing Co.Ltd.

6.         PGBCH-09

Bioinformatics Principles and Application, Z Ghosh and Mallik, OUP

7.         PGBCH-10

                                    A Text book of Microbiology:  R C Dubey and D K Maheswari, S Chand & Company

8.         PGBCH-12

                                    Biotech Expanding Horizons: B D Singh, Kalyani Pub.

9.         PGBCH-16    (Cognitive Science and Human Behavior)

An Introduction to Applied Cognitive Psychology: A Esgate and David Groom, TMH

10.       PGBCH-17

                                    Clinical Biochemistry: R. Luxton, 1999, Butterworth-Henimann, Oxford

11.       PGBCH-18


                        BIOS Istant Notes NeuroScience, Alan Longstaff, Taylor and Francis

1.      M.Sc. Statistics [ PGSTAT ] / M.A. Statistics [ MASTAT ]



Paper No.

Course Code

Title of the Course


Compulsory Elective

      Compulsory Core Course









1st Year





Probability and Distribution

Statistical Inference










Linear Models and Design of


Survey Sampling








Stochastic Process

Practical Based on PGSTAT- 01, 02, 03, & 04




Discipline-Centric Elective Course ¼Select any two with 04+04=8 Credits½
















Mathematical Analysis


Measures Theory


Survival Analysis


Reliability Theory









Open Elective Course (Other Disciplines







Operation Research


Linear Algebra






Firs year total credit                                                 40


Compulsory Core Course

2nd Year





Decision Theory

Multivariate Analysis




















Practical Based on PGSTAT-14, 15, 16 and 17





Discipline Centric Course




Official Statistics



Open Elective Course (Other Discipline








Research Methodology in Social Behavior Sciences


Statistical Software





 Compulsory Foundation Course







Gadhian Thoughts and Peace Studies


Human Rights and Duties



Second year total credit                                                 40

Total programme credit                                                 80

M.Sc. (Statistics) / M.A. (Statistics) 

PGSTAT-01  /  MASTAT-01 (Old)

PGSTAT-07 / MASTAT-07 (New)  

Mathematical Analysis

Block 1- Riemann Stieltjes Integrals, Fourier Series and Functions of Bounded Variation

Unit 1: Riemann Stieltjes Integrals

Absolutely continuous functions. Riemann Stieltjes integrals. Basic theorems. Definitions, Linear properties, integration by parts, change of variable in  . Riemann Stieltjes integrals, upper and lower integrals, necessary and sufficient conditions for existence of . Riemann Stieltjes integrals, integral as a function of parameters, differentiation under the integral sign.

Unit 2: Fourier Series

Fourier Series, orthogonal system of functions, Fourier series of a function relative to an orthogonal system, properties of Fourier Coefficients, Reusz- Fischar theorem, convergence and representation problems for Fourier Metric Series, Sufficient conditions for convergence of Fourier Series at a particular point.

Unit 3: Bounded Variation

Functions of bounded variation, total variation, function of bounded variation expressed as the difference of increasing functions, continuous functions of bounded variation, Absolutely continuous functions.

Block 2-  Metric Spaces & Continuity

Unit 4: Metric Spaces

Metric Spaces, open and closed sets, limit and cluster points, Cauchy Sequences and completeness,

Convergence of sequences, Completeness of R”. Baire’s theorem. Cantor’s ernary set as example of a perfect set which is now here dense. 

Unit 5: Continuity 

Continuity and uniform continuity of a function from a Metric space to a Metric space. Open and closed maps, Compact spaces and compact sets with their properties. Continuity and compactness under continuous maps.

PGSTAT-02 / MASTAT-02 (Old)
PGSTAT-01 / MASTAT-01 (New)  
Probability and Distribution

Block 1- Probability Measure, Distribution Function and Inequalities

Unit 1: Probability Measure and Distribution Functions

Probability space of a random experiment .probability measures, random variables as a measurable function. Field induced by a sequence of random variables, decomposition of distribution functions in purely discrete, absolutely continuous and singular components.

Unit 2: Probability Inequalities

CR-inequality, Cauchy-Schwartz inequality, Holder inequality, Minkowski inequality, Jensen inequality, Lyapunov inequality, Kolmogorov inequality, Hajck-Renyki inequality. 

Block 2- Convergence, Characteristics Function and Limit Theorems 

Unit 3: Convergence

Sequences of distribution functions, Helly - Bray theorem, Different types of convergence of sequence of random variables distribution function of random vectors, Weak and strong law of large numbers, Khinchin. Borel and Kolmogorav theorems. 

Unit 4: Characteristic Function and Central Limit Theorems 

Borel-Cantelli lemmas and zero-one law, Characteristic function, Inversion theorem, Continuity theorem, One dimensional central limit problem: lindeberg-levy, Lyapunov, Lindeberg-Feller theorems.

PGSTAT-03 / MASTAT-03 (Old)
PGSTAT-02 / MASTAT-02 (New)

Statistical Inference

Block 1 -  Estimation Theory 

Unit 1: Sufficiency, Completeness and Exponential Family

Estimation: Sufficiency, Completeness, Rao-Blackwell theorem, Lehman Schaffer theorem, Cramer-Rao inequality minimal sufficiency, Completeness, Bounded completeness, Ancillary statistics, Basu’s theorem on independence of Statistics, Exponential family 

Unit 2: Methods of Estimation and Criterion for Good Estimators

Bhattacharya bound, Chapman Robbins and Kiefer (CRK) bound, maximum likelihood estimation, Zehna theorem for invariance, Cramer theorem for weak consistence, asymptotic normality, BAN and CAN estimators, asymptotic efficiency. 

Block 2: Confidence Estimation and Hypothesis Testing 

Unit 3: Confidence Estimation

Confidence interval and confidence coefficient, shortest length confidence interval, relation between confidence estimation and hypotheses testing. 

Unit 4: Hypothesis Testing 

Generalized Neyman Pearson lemma, UMP tests for distributions with MLR, LR tests and their properties, UMPU tests, similar regions, Neyman structure, Invariant tests.

PGSTAT-04 / MASTAT-04 (Old)
PGSTAT-03 / MASTAT-03 (New)

Linear Models and Design of Experiments

Block 1 -  Linear Estimation and Analysis of Variance

Unit 1: Linear Model and BLUE

Linear Estimation- estimable functions, estimations and error space, Best linear unbiased estimate (BLUE), Markov theorem distribution of quadratic form, Estimable linear hypotheses generalized F and T tests.

Unit 2: Analysis of Variance

Analysis of Variance : Two-way classification with equal number of observation per cell and Tukey’s test general two-way classification, Analyses of covariance,

Block 2 -  Design of Experiment

Unit 3: Factorial Experiments

2n , 32 and 33 factorial experiments complete and partial confounding.

Unit 4: BIBD and Split Plot Design 

Balanced Incomplete Block Design (BIBD), construction of BIBD, intra block and inter block analysis, split plot design.

PGSTAT-05 / MASTAT-05 (Old)
PGSTAT-04 / MASTAT-04 (New)

Survey Sampling

Block 1 -  Random Sampling Procedures 

Unit 1: Stratified Sampling and Use of Auxiliary Information

Sampling Theory: stratified sampling, Post-stratification and deep stratification, Methods of allocation, ratio and regression estimators, double sampling in ratio and regression estimation.

Unit 2: Cluster and Multi-Stage Sampling

Cluster sampling with equal clusters two stage and multi-stage sampling, Non sampling errors.

Block 2 -  Varying Probability Sampling

Unit 3: Methods of Selection and Ordered Estimators

Varying probability sampling with and without replacement, cumulative total and Lahiri’s methods of selection, Estimation of population mean, Desraj ordered estimates.

Unit 4: Unordered Estimators  

Horvitz-Thompson estimator, Midzuno and Narain system of sampling.

PGSTAT-08 / MASTAT-08 (Old)
PGSTAT—05 / MASTAT- 05 (New)

Stochastic Process

Block 1:  Markov Chains  

Unit 1: Markov Dependent Trials and Transition Probabilities

Two state Markov sequences, Markov chains, determination of n-step transition probabilities, Chapman-Kolmogorov equations, first return and first passage probabilities. 

Unit 2: Classification of States

Classification of states, communication states, periodicity, stationary probability distributions and limit theorems for Ergodic chains. 

Block 2: Continuous Time Markov Processes and Branching Processes 

Unit 1: Continuous Time Markov Processes

Continuous time Markov processes. Poisson (point) process, birth and death processes, random walk and gambler’s ruin problem. 

Unit 2: Branching Processes 

Simple branching process, probability generating function and moments of number of individuals in the n-th generation, fundamental theorem of probability of extinction.

PGSTAT-07(P) / MASTAT-07(P) (Old)
PGSTAT—06(P) / MASTAT- 06(P) (New)

Practical based on PGSTAT- 03, 04, 05 / MASTAT- 03, 04, 05 (Old)
Practical based on PGSTAT- 01, 02, 03 & 04 / MASTAT- 01, 02, 03 & 04 (New)

PGSTAT-08 / MASTAT – 08 (New)
Measures Theory

Block – 1: Measure Theory
Unit - 1 :   Measure

Field, -Field, Borel field. Measure, Meassure on Rn, Properties of measure, Outer Measure, Extension of measures, Extension Theorem, Outer Extension. Simple functions, Integration, Non-negative integrable functions, Integrable mesurable functions. 

Unit – 2:  Convergence

Measure Space, Measurable Functions, Combinations of measurable function, point wise Convergence, Convergence in measure. 

Unit – 3:  Signed Measures

Signed measures, Hahn and Jordan decomposition, Absolute Continuity, The Radon-Nikodym theorem, Derives of Signed Measures. Product Space, Cartesian products of two measurable spaces, Section, Product measures, 

Unit – 4:
Fubini’s theorem, Lebesgue-Stielitjes measure, Lebesgue-stieltjes integral, Riemann-stieltjes integration. 

Block – 2: Real Analysis 

Unit – 1:

Recap of elements of set theory; Introduction to real numbers, Introduction to n-dimensional Euclidian space; open and closed intervals (rectangles), compact sets, Bolzano - Weirstrass theorem, Heine – Borel theorem.  Sequences and series; their convergence. Real valued functions, continuous functions; uniform continuity, sequences of functions, uniform convergence; Power series and radius of convergence.

Unit – 2: 

Differentiation, maxima - minima of functions; functions of several variables, constrained maxima - minima of functions. Multiple integrals and their evaluation by repeated integration. change of variables in multiple integration. Uniform convergence in improper integrals, differentiation under the sign of integral - Leibnitz rule. 

PGSTAT-09 / MASTAT – 09 (New)
Survival Analysis

Concepts of time, Order and random Censoring, likelihood in these cases. Life distributions-Exponential Gamma, Weibull, Lognormal, Pareto, Linear Failure rate. Parametric inference (Point estimation, Confidence Intervals, Scores, LR, MLE tests (Rao-Willks-Wald)) for these distributions.  Life tables, failure rate, mean residual life and their elementary properties. Ageing classes - and their properties, Bathtub Failure rate. Estimation of survival function - Acturial Estimator, Kaplan -Meier Estimator, Estimation under the assumption of IFR/DFR. Tests of exponentiality against non-parametric classes- Total time on test, Deshpande test. Two sample problem-Gehan test, Log rank test. Mantel-Haenszel test, Tarone – Ware tests.

Semi-parametric regression for failure rate - Cox’s proportional hazards model with one and several convariates. Rank test for the regression coefficients.  Competing risks model, parametric and non-parametric inference for this model. Multiple decrement life table. 

PGSTAT-10 / MASTAT – 10 (New)
Reliability Theory

Block I: System Reliability

Unit-I:  Reliability Concepts and Measures

 Components and Systems; Series, Parallel, K-Out-Of-N Systems;  Coherent Systems; Reliability of Coherent Systems; Cuts and Paths; Modular Decomposition; Bounds on System Reliability; Structural and Reliability Importance of Components.

Unit-II: Classes of Life Distributions

 Reliability Function; Hazard Rate; Notions of Ageing;   IFR, IFRA, NBU, DMRL, and NBUE Classes and Their Duals; Loss of Memory Property of the Exponential Distribution; Closures or These Classes under Formation of Coherent Systems, Convolutions and Mixtures.                                                                                                                                   

Block II: Life Testing and Reliability Estimation

Unit-I:  Lifetime Distributions

Exponential Weibull, Gamma, Pareto, Distributions and Their Properties. Estimation of Parameters and Tests for These Models. Reliability Estimation Based on Failure Times in Variously Censored Life Tests and in Tests with Replacement of Failed Items

Unit-II: Maintenance and Replacement Policies 

 Repairable Systems; Availability of Repairable Systems; Modelling of A Repairable System by a  Non-Homogeneous Poisson Process. Reliability Growth Models; Stress-Strength Reliability and its Estimation; Basic Ideas of Accelerated Life Testing.

 PGSTAT-11 / MASTAT – 11 (New)
Operation Research

Block – 1:       Linear & Non-Linear Programming

Unit  - 1          Review of LP Problems, Methods of Solution, Duality Theorem, Transportations & Assignment Problems with Proof of Relevant Results

Unit – 2           Methods Using Artificial Variables, Two Phase and Penality, Degeneracy & Cycling, Sensitivity Analysis.

Unit  - 3          Non-Linear Programming, Kutin Tucker Theorem, Wolfe’s and Beale’s Algorithm for Solving Quadratic Programming, Bellman’s Principle of Optimality

Block – 2:       Theory of Games & Sequencing & Network Analysis

Unit  - 1          Games in Normal and Extended forms, Fundamental Theorem of Matrix Games, Solution of 2x2. 2xm and Mxn Zero-sum games by Dominance Principles.

Unit  - 2          Sequencing and Scheduling Models, 2 Machin, n-Job Problem (no passing), 3 machine, n-job problems, different routing- 2 jobs & m stations, travelling sales-man problem.

Unit  - 3          Introduction to networks, determination of flows and of critical paths, CPM & PERT

Block  - 3:       Queuing Theory

Unit - 1           Queuing models- Specification & Effectiveness Measures, the Ek/M/1, M/Ek/1; M/M/1; M/M/c & M/G/1 Queses, and their Steady State Soluations

Unit - 2           Machine Interference Problem, Waiting Time Distrubtion for M/M/1 and M/M/C models

Block – 4:       Replacement Problems

Unit - 1           Replacement Problems, Replacement of items that Depreciate, Discounted Cash Flow in Investment Problems.


Unit - 2           Replacement of items Failing According to a Probability Law; block and age replacement policies, Staffing Problem, Dynamic Programming Approach for Maintenance Problems.

 PGSTAT-12 / MASTAT – 12 (New)
Linear Algebra

Fields, vector spaces, subspaces, linear dependence and independence, basis and dimension of a vector space, finite dimensional vector spaces, completion theorem,examples of vector spaces over real and complex fields, linear equations. Vector spaces with an inner product, Gram-Schmidt orthogonalization process, orthonormal basis and orthogonal projection of a vector. Linear transformations, algebra of matrices, row and column spaces of a matrix, elementary matrices, determinants, rank and inverse of a matrix, null space and nullity, partitioned matrices, Kronecker product. Hermite canonical form, generalized inverse, Moore-Penrose generalized inverse, Idempotent matrices, Solutions of matrix equations. Real quadratic forms, reduction and classification of quadratic forms, index and signature, triangular reduction of a positive definite matrix.

Criteria in selecting factorial designs: Criteria based on the Spectrum of the information matrix-A and D- optimality, criteria based on alias matrix.

Construction of layouts of orthogonal array experiments and associated linear graphs to study some of the main effects and first order interactions of 2^k designs which need not be resolution 3 designs, (designs known as Taguchi designs) with special cases of L_8, and L_{16.

3^k Full factorial designs, . Total and partial confounding in 3k Factorial experiments. Construction of Orthogonal array experiments involving three level factors, with special cases of L_9 , and L_{18.

Roll of Center Composite Designs (CCD) as alternative to 3k designs, rotatability of CCD, Linear and quadratic Response surfaces, contour plots. 

Roll of non normality, Box- Cox transformation, Generalized linear models(GLIM), For exponential family of distributions, 

PGSTAT-09 / MASTAT-09 (Old)
PGSTAT—13 / MASTAT- 13 (New)
Decision Theory

 Block 1: Basic Elements and Bayes Rules 

Unit 1: Basic Elements 

Decision theoretic problem as a game, basic elements, optimal decision rules, unbiased ness, invariance, ordering. 

Unit 2: Bayes and Minimax Rules 

Bayes and minimax principles, generalized. Bayes rules, extended Bayes rules,  

Block 2: Optimality of Decision Rules 

Unit 3: Admissibility and Completeness 

Admissibility, completeness, minimal complete class, separating and supporting hyper plane theorems, 

Unit 4: Minimaxity and Multiple Decision Problems 

Minimax theorem, complete class theorem, equalizer rules, examples, multiple decision problems.

PGSTAT-10 / MASTAT-10 (Old)
PGSTAT—14 / MASTAT- 14 (New)
Multivariate Analysis

 Block 1: Multivariate Normal Distribution and Estimation of Parameters 

Unit 1: Multivariate Normal Distribution 

Multivariate normal distribution, Characteristic function, marginal and conditional distributions, multiple and partial correlation coefficient. 

Unit 2: MLE of Parameters and Sampling Distributions of Multiple and Partial Correlations 

Maximum likelihood estimators of the mean vector and covariance matrix, sample Multiple and partial correlation coefficients and their null sampling distributions  

Block 2: Distributions Related to MND and their Applications 

Unit 3: Wishart Distribution and Hoteling’s T2 

Wishart distribution. Its characteristic function, additive property of Wishart distribution, Hoteling’s T2 and its applications 

Unit 4: Mahalnobis D2 and Discriminant Analysis 

Mahalanobis D2 and its various applications, Discriminant analysis.

PGSTAT-11 / MASTAT-11 (Old)
PGSTAT—15 / MASTAT- 15 (New)

 Block 1- Order Statistics 

Unit 1: Basic Distribution Theory 

Order statistics, Distribution of maximum, minimum and r-th order statistic, Joint distribution of r-th and s-th order statistic, 

Unit 2: Distribution Free Intervals 

Distribution of range function of order statistics, distribution free confidence intervals for quintiles, distribution free tolerance interval, Fooleries limits.  

Block 2- Non- Parametric Tests         

Unit 3: One- sample and Two Sample Location Tests 

Sign test. Wilcoxon test, Median test, 

Unit 4: Other non- parametric tests  

one sample and two sample location tests. Mann- Whitney U- Test, Application of U-statistic to rank tests. One sample and two sample Kolmagorov-Smirnov tests. Run tests. Pitman ARE.

PGSTAT-12 / MASTAT-12 (Old)
PGSTAT—16 / MASTAT- 16 (New)


Block 1: Linear Model and its generalizations  

Unit 1: Linear regression models, estimation of parameters and prediction 

Linear regression model. Assumptions, estimation of parameters by least squares and maximum likelihood methods tests of hypotheses and confidence estimation for regression coefficients, R2 and adjusted R2, point and interval predictors 

Unit 2: Model with qualitative independent variables and non-spherical disturbances  

Use of dummy variables, model with non-spherical disturbances, estimation of parametric by generalized equation, Seemingly unrelated regression equations (SURE) model and its estimation  

Block 2: Simultaneous equations model 

Unit 3: Structural and reduced form of the model and identification problem  

Simultaneous equations model, concept of structural and reduced forms, problem of identification, rank and order conditions of indentifiability 

Unit 4: Estimation in simultaneous equation models  

Limited and full information estimators, indirect least squares estimators, two stage least squares estimators,  three stage least squares estimators.

PGSTAT-13 / MASTAT-13 (Old)
PGSTAT-17 / MASTAT-17 (New)

 Block -1. Migration

Unit-I : Introduction, Estimation of life time and inter-censal migration from place of birth statistics, estimation of internal migration from statistics on duration of residence, at a fixed proor date. 


Unit -2 : Indirect measure of net internal migration based on growth rate method, methods to estimate intercensal migration-using vital statistics, life time survival ratio method and census survival methods, estimation of international migration. 

Block-2. Stable Population Theory 

Unit-1 :Introduction, basic concepts of stable, quasi-stable, stationary and non- stable populations, vital rates and characteristics of stationary stable population and quasi-stable population.  

Unit-2 : Definition of intrinsic rates of natural increase, intrinsic birth rate and intrinsic death rate, their relationship, derivation of Lotka’s formulae of fundamental relationship instable population.

Unit-3 : Computation of intrinsic rate of natural increase and construction of stable age distribution from the given fertility and mortality schedules, relationship between net reproduction rate(NRR), intrinsic rate of natural increase and mean length of generation, concept of mean interval between two generations.

Block-3.Fertility & Fertility Models.

Unit-1 : Introduction, crude birth rate (CBR), gross fertility rate (GFR,) age specific fertility rate) ASFR), total fertility rate (TFR), gross reproduction rate (GRR)

Unit-2 : Period and cohort measures, use of birth order statistics, child women ratio, own-children method, children ever born(CEB) data and with data on current fertility, Brass P/F ration for adjusting fertility rates.

Unit-3 : Simple model on time of first birth/conception and number of births/conception n specified time, birth interval models, study of fertility through birth interval analysis.

Block-4.: Mortality

Unit-1 : Introduction, crude death rate (CDR), specific death rates (SDR), standardized death
rate (STDR).

Unit-2 : Life table, abridge life table, model life table of UNO (old and new), coale and demny
model, brass model through logit transformation.

 PGSTAT-14(P) / MASTAT-14(P) (Old)
PGSTAT-18(P) / MASTAT – 18 (P) (New)

Practical Based on PGSTAT / MASTAT-10 , 11, 12 & 13 (Old).
Practical Based on PGSTAT / MASTAT-14 , 15, 16 & 17 (New).


Research Methodology in Social Behavior Sciences

AboutMeaning of Research, Types of Research, Criteria of Good Research, Research Problem, Research Design, Basic Principles of Experimental Designs.
Sampling Design, Criteria of Selecting a Sampling Procedure, Simple Random Sample Design, Complex Random Sample Design, Measurement and Scaling Techniques, Methods of Data Collection, Processing and Analysis of Data.
Discriptive Statistics, Measures of Central Tendency, Measures of Disperson, Measures of Asymmetry, Measures of Relationships, Association of Attributes.
Testing of Hypothesis for Parametric Tests, Testing of Hypothesis for Non-Parametric Tests, Analysis of Variance and Analysis of Covariance, Chi-Square Test, Multivariate Analysis Techniques, Factor Analysis.
Meaning of Interpretation, Significance of Report Writting, Report Writting..

Statistical Softwares

 About Statististical Softwares, its features and the steps for data analysis with related softwares. SPSS, STATISTICA, STATA, R, R-Commander, MATLAB.

Official Statistics

Block – 1:      Official Statistics 

Unit – 1: About the official Statistics, Use of Statistics in different offices, Census, National Samplev Survey Office, Birth and Death Registration. etc Introduction to Indian and International statistical systems. Role, function and activities of Central and State statistical organizations. Organization of large scale sample surveys. Role of National Sample Survey Organization. General and special data dissemination systems. Population growth in developed and developing countries, evaluation of performance of family welfare programmes, projections of labour force and manpower. Scope and content of population census of India.  System of collection of Agricultural Statistics. Crop forecasting and estimation, productivity, fragmentation of holdings, support prices, buffer stocks, impact of irrigation projects.  Statistics related to industries, foreign trade, balance of payment, cost of living, inflation, educational and other social statistics.


Unit – 2: Present official statistical system in India, Methods of collection of official statistics, their reliability and limitations. Principal publications containing data on the topics such as population, agriculture, industry, trade, prices, labour and employment, transport and communications, banking and finance. Various official agencies responsible for data collection and their main functions. 

Unit – 3:  Statistical Methods for Total Quality Management 

Quality Systems, ISO 9000 standards, QS 9000 standards. Concept of six-sigma and the Define-Measure-Analyse-Improve-Control Approach. Precision and accuracy in measurement systems. Estimation of Measurement Uncertainty.  Total Quality Management, Process Analysis and Optimization.  Quality at Design stage, Quality Function Deployment, Failure Mode and Effect Analysis, Conjoint Analysis. System, parameter and tolerance designs. Planning and analysis of fractional factorial experiments. Basic ideas of response surface methodology and contour plots.  Quality in manufacturing, control charts for attribute and variable characteristics, process adjustments based on control chart evidences. Process capability and performance indices. Evolutionary operations.  Measuring customer satisfaction, American Customer Satisfaction Index Model. 

Block – 2:      Agricultural Statistics


Unit – 1: Sample Surveys

Concepts of population and sample need for sampling, census and sample surveys, Basic concepts in sampling and designing of large scale surveys. Simple random sampling with and without replacement, Stratified random sampling, Allocation problems, Systematic sampling, Cluster sampling, Ratio, Product and Regression methods of estimation. Double Sampling. Two-stage and Multi-stage sampling. Non-sampling errors. Randomized response technique (Warner’s model only).

Unit – 2: Design of Experiment

      Need for design of experiments, Fundamental principles of design of experiments, Basic designs-CRD, RBD, LSD and their analyses, Orthogonality of classification in two-way lay-outs, advantages of orthogonality relation, simple illustrations. Analysis of co-variance, missing plot technique.


Unit – 3: Factorial Experiments

2n, 32 factorial experiments, illustrations, main effects and interactions, confounding and illustrations.


Block – 3: Audit Statistics


Unit – 1: Audit Sampling

Statistical Audiot Sampling, its Advantage in audit, risk of statiostical sampling, attributes vs variable sampling, attribute sampling plan, determination of optimal Samplev size, concept of confidance level, precision, population, variable sample plane, un stratified and stratified sampling plan. Audit Hypothesis, testing of hypothesis,

Unit – 2: Risk Assesment

Monetary unit sampling, risk based analysis, concept of alpha and beta risk, concept of tolarable missstatement.

 3. M.S.c (Computer Science)

 Course code and Details


Paper No.

Course Code

Title of Course


Compulsory/ Elective

First Semester

Compulsory Core Course



Discrete Mathematical Structure





Introduction to Programming Language Through C




Digital Computer Fundamentals and Assembly Language Programming




Lab-1 ( Based on MSc-CS-02)


Discipline-Centric Elective Course




MSc-CS-05    OR


Theory of Computation


System Analysis & Design





Credits of First Semester                                                             16

Second Semester

Compulsory Core Course



Software Engineering





Object Oriented Programming through C++




Computer Networks




Lab-2 (Based on MSc-CS-08)


Discipline-Centric Elective Course







System Software


Object Oriented Analysis and Design





Open Electives course (Other Discipline) (Any Two paper in Second Semester)











Numerical & Statistical Computing


Accountancy & Financial Management


Probability & Distribution







Credits of Second Semester                                                          24

Third Semester

Compulsory Core Course



Database Management System





Operating System




Core Java




Lab-3 (Based on MSc-CS-18)


Discipline-Centric Elective Course







Computer Graphics


Design and Analysis of Algorithms





Compulsory Foundation Course








Gandhian studies and Peace Education


Human Right and Duties

Non Credit


Credits of Third Semester                                                            16

Fourth Semester

Compulsory Core Course


MSc-CS-22 (L)

Practical Lab Based on MSc.CS-29





Principal of Programming Language




Web Technology


Discipline-Centric Elective Course




MSc-CS-23    OR


Artificial Intelligence


Parallel Computing





Open Electives course (Other Discipline)  (Any Two paper in Fourth Semester)











Correlation, Regression & Statistical Inference


Mathematical Analysis


Operation Research







Credits of Fourth Semester                                                           24

Total Credits                                                                                                                                                       80

 MSc-CS-01 (Discrete Mathematics) 

 Mathematical Logic Connectives: Statements, connectives (Negation Conjunction, Disjunction), Conditional and Bi-conditional, Equivalence of formulae and well-formed formulae, Tautologies, Duality law, Functionally complete sets of Connectives. 

Some More Connectives: Exclusive OR, NAND, NOR, Two state devices, Gate and Module, Two-level networks, NOR and NAND gates.

Normal Forms and The Theory of Inferences: Various Normal forms, Valid inference using truth tables and direct method of proof, Inference (RulesP and T), Consistency of Premises and indirect method of proof, Automatic proving of theorems.

The predicate Calculus: Predicates, Statement Functions, variables and Quantifiers, Free and bound variables, special valid formulas involving quantifiers.

Graph Theory

Introduction to Graphs: Graph, Applications of Graphs, MTNL’s Networking Problem, Travelling Salesman Problem, Satellite Channel Problem, Graph isomorphism, Bipartite graphs, Sub-graphs, Paths and walks, Connected Graphs and Cycles, Operations on graphs, Matrix Representation of graphs, Fusion of Graphs.

Trees and Connectivity: Tree, Properties, Bridge or cut Edge, Distance and Centre,Spanning trees, and connector problems, Kruskal’s Algorithm, Prims Algorithm, Computer implementation, cut vertices and connectivity, Shortest Path problems (BFS), Binarytrees.

Euler tours, Hamiltonian Cycles, Planar graphs and Digraphs: Euler Tours, Konisberg Bridge problem, Fleury’s Algorithm, Hierhozer’s Algorithm, Hamiltonian graphs, closure of a graph, two optimal Algorithm, The closet insertion Algorithm, Planar graphs, Directed graphs of digraphs.

Functions, Sets and Relations

Basic Concepts of Set theory: Operations on sets, Venn diagram and some of the Applications of set theory, Cartesian product of sets,

Relations and ordering: Relations, Hasse Diagram.

Functions: Functions, Range and Domain of a function, Functions as Sets of ordered Pairs, Difference between Relations and Functions, Transformation or Operators, Equality of two functions, Graph of a function, Types of functions, Permutation of a set, Product or compositions of Mappings, Binary operations, characteristic functions, Hashing Function and its Application in Computer Science.

Fuzzy Sets: Vagueness, Impreciseness, Fuzzy sets, Basic operations, On Fuzzy sets, Imageand Inverse image, I-V Fuzzy sets, Fuzzy relations.

Lattices and Boolean Algebra:

Posets and Lattices: Posets, Lattices as posets, lattices as Algebraic Systems, Sub-lattices, Complete Lattices, Bounds of Lattices, Modular and Distributive Lattices, Complemented Lattices, chains.

Boolean Algebra: Definition and important properties, sub Boolean Algebra, Atoms, Anti-atoms and irreducibles, stone Representation theorem, Boolean Expressions and their Equivalence, Minterns and Maxterms, Canonical Forms and free Boolean Algebras, values of Boolean Expressions, Boolean Functions, Symmetric Boolean Expressions.

Applications of Boolean Algebras: Switching Algebra, Representations of Boolean Functions, Karnaugh Maps, Minimization of Boolean functions, Quine-McCluskey Algorithm.

Applications of Boolean Algebras: Complement and 28 complement of  a binary number, Modules and circuit diagrams for 1s and 2s complement. Binary Addition, Binary subtraction, Single Parity Bit Generator, Serial Binary Adder, Finite State machines, Equivalence of States, Equivalence and Reduction of Machines.

 MSc-CS-02 (Introduction Programming Language through C)


Introductory: An overview of C Escape sequences, getting a ”feel” for C.

Data types in ”C”:Variables of type (int, char, float, double,), Enumerated types, the typed of statement, Identifiers.

Operators and Expressions Inc

Elementary Arithmetic operations and operators, Expressions, L values and P values, Promotion and Demotion of variable types: The cast operator, Printf and Scanf functions. Decision Structures in ’C’ Boolean operators and Expressions, The goto statement, the if, Statement, the if–else statement,

Control structures-I: The do–while and while Loops, the Comma Operator, the transfer of Central from within loops, Ternary operator, The Switch-case default statement.

Programming in C

Control Structures II: The for loop, one-dimensional Arrays, The sizeof operator, storage classless and scope.

Pointers and arrays: Pointer variables and pointer Arithmetic, Pointers, Arrays and the subscript operator, A Digression on Scanf, Multidimensional Arrays.

Functions: Function Prototypes and Declarations, Functions and Scope, Pointers as Function Arguments, String Functions, Multidimensional Arrays as Function Arguments.

Functions II: Recursive functions, Macros, Conditional Compilation, Macros with Parameters, Command line Arguments, Variable length Argument lists, Complicated Declarations, Dynamic MemoryAllocation.

Files and Structs, Unions and Bit-Fields: Files and File 70, Structs, the DOT Operator, Extructs and files: fseek, Structs and Function and unions, The Bitwise operators.

 MSc-CS-03 (Digital Computer Fundamentals and Assembly Language Programming) 

Hardware Concepts

Introduction and Data Representation: The won Neumann Architecture, Computers: Then and Now, Data Representation, Instruction Execution.

Digital Logic Circuits: Boolean algebra, logic Gates, Combinational circuits, Adders, Sequential circuits, Interconnection Structures.

Memory Organization: Memory System, characteristics Terms for various memory Devices, RAM, External/ Auxiliary Memory, High Speed Memories, Cache Memory, Associative Memories.

Input/output Organization: Input/output Module, input/output Techniques, Direct Memory Access (DMA), input/output processors, External interface.

CPU Organization

Instruction Sets: Instruction set characteristics, Addressing schemes, Instruction Format Design.

Register Organization and Micro Operations: Basic Structure of the CPU, an Advanced Structure, Register Organization, Micro Operations, Instruction Execution and Micro Operations.

ALU and Control Unit Organization: ALU Organization, Control Unit Organization, Functional Requirements of a Control unit structure of Control unit, Hardwired Control unit.

Micro-programmed Control Unit: MCU, Wilkes Control, The Microinstruction, Types of Microinstructions, Control Memory Organization, Microinstruction formats, A simple structure of Control Unit, Micro instruction (sequencing, Execution), Machine Startup.

Microprocessor and Assembly Language Programming

Microprocessor Architecture: Microcomputer Architecture, CPU Components, CPU Registers, Instruction set, Addressing Modes, Introduction to Motorola 68000 Microprocessors.

Introduction to Assembly Language: Assembly language Fundamentals, input/output Services, Assembly language Program Development tools.

Assembly Language Programming (Part-I): Simple Assembly Programs (Data transfer, shift operations), Programming with loops and comparisons, Arithmetic and String Operations.

Assembly Language Programming (Part–II): Arrays, Modular Programming, Interfacing Assembly language Routines to High level language programs, Interrupts

MSc-CS-05(Theory of Computation)

Finite Automata and Formal Languages

Finite Automata and Languages: Regular Expressions (Introduction to Defining of languages, Kleene closure Definition, Formal Definition of Regular, Expressions, Algebra of Regular Expressions), Regular languages, Finite automata, Mealy and Moore Machines.

Non-Deterministic Finite Automata: Equivalence of NFA and DFA, Pumping Lemma, Closure properties (Regular Languages and Finite Automata), Equivalence of Regular expression and Finite Automata.

Non-Deterministic Finite Automata: Context Free Grammar: Grammar and its classification, Chomsky, Classification for Grammar, Context free grammar, pushdown Automata (PDA), Non-Context free languages, Pumping Lemma for context free Languages, Equivalence of CFG and PDA.

Turing Machine and Recursive Functions

Turing Machine: Prelude to formal definition, Instantaneous Description and transition diagrams, Turing Machines as Computer of functions, Modular Construction of Complex turing machines, Symbol Writing machines, Right/Left head moving machines.

Turing Machine Miscellany: Extensions –cum-Equivalents of Turing Machine, Universal Turing Machine (UTM), Languages Accepted/Decided by TM, The diagonal language and the universal language, Chomsky Hierarchy.

Recursive Function Theory: Recursive Function Theory Recursive Definitions, Partial, Total and Constant Functions, Primitive Recursive Functions, Intuitive Introduction to primitive recursion, Primitive Recursion is weak Technique, The Techniques of unbounded minimilization, Partial Recursion and u-Recursion.

Complexity of Computability

Computability/Decidability: Decidable and undecidable problems, The halting, problem, Reduction to another undecidable problem, undecidability of post correspondence problem, un- decidable problems for context free languages.

Computability/Decidability: Complexity Notations for Growth rates of functions (The Constant Factoring Complexity Measure, Asymptotic considerations, well known Asymptotic growth Rate  Notations, The Notation O, The θ Notation, The Notation ω, The Notation W, classification of problems, Reduction, NP-Complete and NP-Hard Problems, Establishing NP-Completeness of problems.

Computability/Decidability: Applications of Finite Automata, Applications of Regular Expressions, Application of Context free grammars (Definition of C-type small language, Definition of Part of HTML), ACM Code of Ethics and Professional Conduct.

MSc-CS-06 (Systems Analysis and Design)

Introduction to Systems Development

Introduction to SAD: Fundamentals of Systems, Real Time Systems, Distributed Systems, Development of a successful System, various Approaches for Development of information systems (Model Driven, Accelerated approach, Joint Application Development.

System Analyst - A profession: Needs Systems Analysts, users, Analysts in various functional Areas (Systems Analyst in Traditional Business, Systems Analyst in Modern Business), Role of a Systems Analyst, Duties of a Systems Analysts, Qualification of a Systems Analyst.

Process of System Development: Systems Development Life Cycle, Phases of SDLC, Products of SDLC Phrases, Approaches to Development (Prototyping, Joint Application Design, Participatory Design ), Case Study (College Library).

Introduction to documentation of Systems: Concepts and process of Documentation, Types of Documentation, Different Standards for Documentation, Documentation and Quality of Software.

Planning and Designing Systems

Process of Systems Planning: Fact Finding Techniques, Need for fact finding, Issues involved in Feasibility Study, Cost Benefit Analysis, Preparing Schedule, Gathering Requirements of System.

Modular and Structured Design: Design principles (Top Down Design, Bottom up Design), Structure Charts, Modularity (Goals of Design, Coupling, Cohesion.

System Design and Modeling: Logical and Physical Design, Process Modeling, Data Modeling (ER Diagram), Process specification Tools (Decision Tables, Decision Trees, Structured English Notation), Data Dictionary.

More Design Issues and Case Tools

Forms and Reports Design: Forms, Reports, Differences between forms and Reports, Process of Designing Forms and Reports, Deliverable and outcomes, Design specifications, Types of Information, General formatting Guidelines, Guidelines for Displaying Contents, Criteria for form Design, Criteria for Report Design.

Physical File Design and Database Design: Introduction to Database Design, Design of Database fields, Design of Physical Records, Design of Physical Files, Design of Database, Case Study (Employee database),

Case Tools for Systems Development: Use of Case Tools by Organizations, Advantages and Disadvantages of CASE Tools, Components of CASE, Types of CASE tools, classification of CASE Tools, Reverse and Forward Engineering, Visual and Emerging Case tools.

Implementation and Security of Systems & MIS 

Implementation and Maintenance of Systems: Implementation of Systems, Maintenance of Systems.

Audit and Security of Computer Systems: Definition of Audit, Audit of Transactions on computer, Computer Assisted Audit Techniques, Computer System and Security Issues, Concurrent Audit Techniques.

Management Information Systems: Role of MIS in an organization, Different kinds of information systems, Expert Systems.

MSc-CS-07 (Software Engineering)

Software Engineering Concepts

Introduction to Software Product, Component and Characteristics: Software Engineering Phases, Documentation of the Software product, Software process and Models (Software Life Cycle, Requirements analysis and specification, Design and Specification, Coding and module testing).

Introduction to Graphs: Software Process Management: Software Process Management, Human Resource Management, The software team (DD, CD, CC), Organization, information and Decision, Problem Identification, Software crisis, Role of a System Analyst.

Introduction to Graphs: Project Planning and Control Project planning and control, Project Scheduling, Project Standards, Project outsourcing.

Introduction to Graphs: Risk Management Concepts: Introduction and Risk Management Concepts (Managing Risk, Typical Management Risks in software Engineering. Technical Planning, Project Tracking, Delivery Timings, Partial Recovery, Benchmark Testing.

Software Quality Concepts and Case Tools

Software Performance: Customer Friendliness, Software Reliability, Software Reviews, Software up gradation, Software tools and environment, Software Libraries and Toolkits, Software Modules, Re-application of Software modules, Development tools (Code  Generators, Debuggers)

Quality Concepts: Important Qualities of Software product and process (correctness, Reliability, Robustness, user Friendliness verifiability, Maintainability, Reusability, Portability, Data Abstraction, Modularity), Principles of Software Engineering.

Software Methodology an Object oriented concepts: The Evolving role of Software, An Industry perspective, structured Methodologies, Major influencing factors (Evolution of End user computing, Emergence of CASE tools, use of Prototyping and 4GL tools, Relational Database,ObjectOrientedProgramming),usingtheMethodology,ChoosingtheRightMethodology, Implementing a Methodology, Current Generation of Software Development tools, Considerations in Application Development.

CASE Tools: Software crisis, An Engineering Approach to Software, CASE tools, factors Affecting Software Development, The Benefits of using CASE.

MSc-CS-08(Object Oriented Programming through C++)

An Introduction to OOP 

What is object oriented Programming: Object oriented programming, Paradigm, Advantages of OOP, Applications of OOP, The object orientation, C++

Object Oriented Programming System: OOPS, Class, Inheritance, Abstraction, Encapsulation and information Hiding, Polymorphism.

Advanced Concepts: Dynamism, Structuring Programs, Organizing object – oriented Projects. Reusability,

Introduction to object oriented languages: Objective-C, Python, C Sharp, Eiffel, Modula- 3, Small talk, Object Rexx, Java, Beta.

An Introduction to UML: UML (Goals, History, use), Definitions, UML Diagrams (Use Case Diagrams, Class diagrams, Interaction Diagrams, Sequence diagrams), State diagram, Activity Diagrams, Physical diagrams.

C++ An Introduction

Overview of C++: Programming Paradigms, Functions and files. Concepts of C/C++

Classes and objects: Definition and Declaration of a class, Scope Resolution Operation, Private and Public member functions, creating objects, Accessing class data members and member functions, Arrays of objects, objects As Function Arguments.

Operator overloading: Operator Functions, Large objects, Assignment and initialization, function call, Increment, Decrements Operator, Friends.

Inheritance-Extending classes: Concept of Inheritance, Base class and Derived class, Visibility Modes, Single inheritance, Multiple Inheritance, Nested classes, Virtual Functions.

Streams and Templates: Output, Input, Files Exception Handling.

MSc-CS-09(Computer Networks)

An Introduction to Computer Networks

Network classification and Reference Models: Network, Network Goals, Application of Networks, References Mode, (OSI, TCP/IP), IEEE Standards for LAN.

Data Transmissions and Multiplexing: Transmission Terminology Analog and Digital Data transmission, Transmission media, Multiplexing.

Medium Access Control and Data Link layer: Data link layer, Medium Access Control Sub layer.

Network, Transport and Application layer: Network layer, Routing Algorithms, Congestion Control Algorithms, Transport layer, QOS, TCP/UDP, Application layer, DNS, Remote Procedure Call (RPC), File transfer protocol (FTP) Telnet.

Network Devices and Technology

Network Devices-I: Network Devices, Repeaters Bridges Switches, Hubs.

Network Devices – II: Routers, Gateways, Modem

ISDN: Baseband Broadband Communication, ISDN Services, Advantages of ISDN, ISDN Applications.

Asynchronous transfer Mode (ATM): Switching Techniques, circuit, Packet, Frame Relay, Cell Relay, ATM as Technology, ATM Layered Architecture in Comparison with OSI Model, ATM Protocol, The ATM Network, The ATM cell, ATM classes of Services, ATM Traffic Control, Benefits of ATM, ATM Applications.

MSc-CS-11 (System Software)

Programming Concepts and Software Tools

Introduction to Programming Language Concepts: Algorithm, Flowcharting, Problem and its Algorithm, Concept of a Programming Language, Categories of Languages, Elements of a Programming language.

Introduction to Graphs: Introduction to Assembler Advocates of a translator, types of translators, Assembler implementation, Macro processor, Loaders.

Introduction to Graphs: Introduction to Compiler writing Compiler, Approaches to compiler development, compiler Designing Phases, Software tools.

Introduction to Graphs: Graphical user interface: Graphical user interface, Evolution of the human and Machine interaction, Common Graphical user interface terms, functionality of graphical user interfaces, A look at some graphical user interfaces.

Introduction to Graphs: Introduction to a text editor and debugging system Introduction to a text editor, overview of the Editing process, Types of Editors and user interface, Editor structure, Interactive debugging systems, Debugging Functions and Capabilities, Relationship with other parts of the system, user interface criteria.

Fundamentals of operating system

Introduction to operating system: Operating System, Evolution of operating systems, serial processing, Batch processing, Multiprogramming, types of operating System, Batch Operating system Multiprogramming Operating system, Network operating system, Distributed Operating System, Operating System Structure, Layered Structure Approach, Kernel Approach, Virtual Machine, Client Server Model, Future Operating System trends.

Process Management: Process concept Processor scheduling, Types of Schedulers, Scheduling and performance Criteria, Scheduling Algorithms, Interprocess Communications and synchronization, Basic concepts of concurrency, Basic Concepts of Interprocess Communication and Synchronization, Mutual Exclusion, Semaphores, Hardware support for mutual Exclusion, MechanismforStructuredformofInterprocessCommunicationandsynchronization, Deadlocks, System model, Deadlock Characterization and Modeling.

Memory Management: Introduction, single process monitor, Multiprogramming with Fixed partitions, Multiprogramming with dynamic partitions, Paging Address mapping in a paging system,HardwareSupportforPaging,AddressTranslationbyAssociativeMemory,Sharingand ProtectioninaPagingSystem,Segmentation,AddressMappinginaSegmentedSystem,Implementation of segment tables, sharing and Protection in a Segmented System, Virtual memory, Advantages of virtual memory, Demand Paging Virtual memory management policies.

File Management: Introduction, File concept, Directories, Disk organization, Disk Space Management methods, Linked List, Bit Map, Disk Allocation Methods, Contiguous Allocation, Non Contiguous Allocation, Disk Scheduling, FCFS, Shortest seek time-first scheduling, scan scheduling, File Protection, Passwords, Access Lists, Access Groups.

UNIX Operating System-I

Theoretical Concepts of UNIX operating System: Introduction, Basic features of Unix operating system, UNIX system Architecture, File Structure processing Environment, CPU Scheduling Memory Management, Swapping, Demand Paging, File System, Blocks and Fragment and Inodes, Directory Structure.

UNIX-GETTNG STARTED I: Introduction, Getting started, user Names and Groups, Logging in, Correcting Typing Mistakes, Format of UNIX commands, changing your Password, Characters with special Meaning, UNIX documentation, Files directories, Current Directory, Locking at the Directory Contents, Absolute and Relative, Pathnames, Some UNIX Directories and Files.

UNIX Getting Started II: Introduction, Looking at file contents, your own directories, file permissions, Basic operations on files, Links between Files, Changing permission modes, standard files, Standard Output, Standard Input, Standard Error, Filters and Pipelines, Processes, Finding out about Processes, stopping Background Processes.

TEXT Manipulation: Introduction, Inspecting files, file statistics, Searching for Patterns, Comparing Files, Operating on files, printing files, Rearranging Files, Sorting files, Splitting files, Translating characters,

Editors: Introduction, General characteristics of vi, Starting up and quitting from vi, Adding text and Navigation, changing Text, Searching for Text, Copying and Moving Text, The Features of ex, The live editors Ex and Ed. starting up and Quitting, Addressing Lines, Looking at Text, Adding, Deleting and changing text, Searching for and replacing text, cut and paste operations, files and Miscellaneous features, The Stream Editor SED, changing several filed in SED, AWK.

UNIX Operating System II

User to user Communication: Introduction, Online Communication, Off-line communication.

Shell Programming: Introduction, Programming in the Bourne and the C- shell, wild cards, simple shell programs, variables, Programming Constructs, interactive shell scripts, advanced Features.

Programming Tools: Introduction, The UNIX C compiler, other tools (Lint- the – C verifier, Program Profiles, Program listings), Cross References and Program flow, Maintaining Programs, the source code control system (Initializing a file, Examining and Altering files, Identification Keywords, Miscellaneous Commands). System Administration Introduction, System Administration – A Definition, Booting the system, Maintaining user accounts, file systems and special files, Backups and Restoration.

MSc-CS-12 (Object Oriented Analysis and Design)

Introduction To Object Oriented Modeling: Object Oriented Modeling, Basic Philosophy of Object Orientation, Characteristics Object Oriented Modeling, Class and Objects, Links and Association, Generalization and Inheritance, An Object Model, Benefits of OO Modeling, Introduction to OOA & Design Tools

Object Oriented Analysis: Object Oriented Analysis, Problem Statement: An Example, Differences between Structured Analysis and Object Oriented Analysis, Analysis Techniques t, ObjectModeling,DynamicModeling,FunctionalModeling,AddingOperations,AnalysisIteration, Refining the Ratio Analysis, Restating the Requirements

USING UML: UML: Introduction, Object Modeling Notations: Basic Concepts, Structural Diagram, Class Diagram, Object Diagram, Component Diagram, Deployment Diagram, Behavioral Diagrams, Use Case Diagram, Interaction Diagram, Activity Diagram, State chart Diagram, Modeling with Objects

SYSTEM DESIGN: System Design: An Object Oriented Approach, Breaking into Subsystems, Concurrency identification, Management of a Data Store, Controlling Events Between Objects, Handling Boundary Conditions

OBJECT DESIGN: Object Design for Processing, Object Design Steps, Choosing Algorithms, Selecting Data Structure, Defining Internal Classes and Operations, Assigning Responsibility for Operation, Design Optimization, implementation of Control, State as Location within a Program, State Machine Engine, Control as Concurrent Tasks, Adjustment of Inheritance, Rearranging Classes and Operations, Abstracting Out Common Behavior, Design of Associations, Analyzing Association Traversal, One-way Associations, Two-way Associations

ADVANCE OBJECT DESIGN: Control awl its Implementation, Control as a Stake within Program, Control as a State Machine Engine, Control as Concurrent Task, Inheritance Adjustment, Association: Design, Object Representation, Design Optimization, Design Documentation.

OBJECT MODELING: Advanced Modeling Concepts, Aggregation, Abstract Class, Multiple Inheritance, Generalization and Specialization, Meta Data and Keys, Integrity Constraints, An Object Model.

DYNAMIC MODELING: Events, State and State Diagram, Elements of a State Diagram, Advanced Concepts in Dynamic Modeling, Concurrency, A Dynamic Model

FUNCTIONAL MODELING: Functional Models, Data Flow Diagrams, Features of a DFD, Processes, Data Flows, Actors, Data Stores, Constraints, Control Flows, Design Flaws in DFD, A Sample Functional Model, Relation of Functional to Object and Dynamic Model IMPLEMENTATION STRATEGIES: Implementation Associations, Unidirectional Implementations, Optional Associations, One-to-One Associations, Associations with Multiplicity ’Many’, Bi-directional Implementations, One-to-One and Optional Associations, One-to- ManyAssociations,ImmutableAssociations,ImplementingAssociationsasClasses,Implementing Constraints, Implementing State Charts, Persistency

PERFORMANCE EVALUATIONS: Metrics for Performance Evaluation, Running Time, Speed Up, Efficiency, Factors Causing Parallel Overheads, Uneven Load Distribution, Cost Involved in Inter-processor Communication, Parallel Balance Point, Synchronization, Laws For Measuring Speedup Performance, AMDAHL’s Law, GUSTAFSON’s Law, SunandNi’s LAW, Tools For Performance Measurement, Performance Analysis, Search-based Tools, Visualisation, Performance Instrumentations

CASE STUDY: INVENTORY CONTROL SYSTEM: Class Diagram, Object Diagram, Generalization and Association Diagram, Collaboration Diagram, Activity Diagram and Events, Use Case Diagram, Deployment Diagram.

MSc-CS-13 (Numerical and Statistical Computing)

BLOCK-1 Numerical Computing-I

Unit 1 Floating Point Arithmetic and Errors, Floating Point Representation, Sources of Errors, Propagated Errors.

Unit 2  Solution of Non-Linear Equations, Bisection Method, Regula-Falsi Method, Secant Method, Newton-Raphson Method, Successive Iteration Method.

Unit 3 Solution of Linear Algebraic Equations, Direct Method, Gauss Elimination Method (without and with Pivoting), LU-Decomposition Method, Iterative Method, Jacobi Method , Gauss Seidel Method, Successive Over Relaxation Method.

BLOCK-2 Numerical Computing-II

Unit 1 Interpolation Differences – Forward and Backward Differences, Newton‘s – Forward and Backward Difference Formulas, Lagrange‘s Interpolation.

Unit 2  Numerical Integration Newton – Cotes Formulas, Composite Formulas, Gaussian Quadrature.

Unit 3 Numerical Solution of ODE, Euler‘s Method, Runge Kutta Method.

BLOCK-3 Statistical Computing

Unit 1 Probability Distribution: Discrete Distribution, Binomial Distribution, Poisson Distribution, Continuous Distribution, Uniform Distribution, Exponential Distribution, Normal Distribution, Chi-square Distribution

Unit 2 Pseudo Random Number Generation: Uniform Distribution, Method of Generation (Discrete Case), Inversion Method (Exponential Distribution), Acceptance and Rejection.

Unit 3 Regression: Linear Regression Model, Least Square for Parameter Estimation, Goodness-of-Fit, Residual Analysis, Non-Linear Regression.

MSc-CS-14 (Accountancy And Financial Management)

Accounting Framework

Accounting and its Functions: Scope and Emerging Role of Accounting, Accounting as an Information system. Role and activities of an Accountant Accounting Personnel, Nature of accounting Functions for Accounting and Finance.

Accounting Concept’s and Standard’s: Accounting framework, concept and standards, Changing Nature of GAPP, Attempts towards Standardization and Accounting Standards in India.

Accounting Information and its Applications: Purposes of Accounting Information, Accounting and Controlling Organizations, Profit and Case Balance Distinguished, uses of Earnings Information and uses of Balance sheet.

Understanding Financial Statements

Construction and Analysis of Balance Sheet: Conceptual Basis of a Balance sheet, Constructing a Balance sheet, Form and Classification of items.

Construction and Analysis of Profit and Loss Account: The linkage between Profit and loss account and Balance sheet, Measurement of Income, Preparation of Profit and Loss Account, Indirect Expenses, Methods of Depreciation. Form of Profit and Loss account, Cost of goods sold, Methods of Inventory valuation, Gross Profit, Operating profit Net profit

Construction and Analysis of Fund Flow Statement: Working Capital and its need. Determining working capital Requirements, Sources of funds, Uses of Funds, Factor Affecting Fund, Requirements, Analysing change in Working Capital, Fund Flow Statement.

Accounting and Finance for Managers

Understanding and Classifying Cost’s: Cost accounting, costs, Elements of cost, Components of Total Cost. Cost sheet, Classification of Costs, some other concepts of costs.

Absorption and Marginal Costing: Absorption costing, Marginal costing, Absorption Costing and Marginal costing, Differences, Marginal cost. Segregation of semi-variable costs. Contribution, Break even analysis. Utility of Marginal costing, Limitations.

Cost Volume Profit Analysis: Meaning, Interplay and Impact of factors on Profit, Profit Graph, Cost Segregation, Marginal cost and Contribution.

Variance Analysis: Meaning of Variance. Cost variances, Direct Material variances. Direct Labour Variances, Ovehead Variances, Sales variances Control of Variances, Variance Reporting.

Financial and Investment Analysis:

Ratio Analysis: Classification, The norms for Evaluation, Computation and Purpose Management Uses of the Primary Ratio.

Leverage Analysis: Concept, Measures, and Effects of Financial Leverage, Operating Leverage, Combined Leverage, Financial Leverage and Risk

Budgeting and Budgetary Control

Investment Appraisal Methods: Types of Investment Proposal, Need of Appraisal, Project Report, Methods of Appraisal, Depreciation, Tax and Inflows, Cost of Capital, Limitations of Investment Appraisal Techniques.

Financial Decisions

Management of Working Capital: Significance of Working Capital, Operating Cycle, Concepts of working Capital, Kinds of working Capital, Importance of working capital Management, Determinants of working Capital Needs. Approaches of Managing Working Capital. Measuring working capital working capital Management under Inflation, Efficiency Criteria.

Managing Cash Needs: Need of Cash Determining Optimal Cash Balance, Cash Management And Cash Budgeting.

Capital Structure: Measuring Features of an Appropriate Capital Structure, Determinants of Capital Structure.

Dividend Revision: Forms of Dividend, Dividend Policy: Role of Financial Manager, Role of Board of Directors, Factors Affecting Dividend Decision.

MSC-CS-15(Probability and Distribution)

Probability Theory

Random experiments and Probability: Deterministic and random experiments, Sample space, Events, Algebra of Events, Axiomatic definition of Probability, Classical definition of Probability, Statistical definition of probability, Addition Theorem of Probability.

Conditional Probability: Conditional probability, Multiplicative theorem of Probability, Independent events, Partition of sample space, Baye’s Theorem.

Probability Distributions and Expectations

Random Variables and Probability Distributions: Definition and types of random variable, Cumulative distribution function and its properties, Probability Mass Function, Probability Density Function..Definition and types of Mathematical Expectation, Moments in termsof expectation, Mathematical and Multiplication theorems of Expectation, other theorems on expectation.

Inequalities for Moments: Cauchy-Schwartz Inequality, Markov’s inequality, Chebyshev’s inequality.

Concept of Probability Distributions

Univariate Distributions: Bernoulli Distribution, Binomial Distribution, mean and variance of binomial distribution, Moments, Moments Generating Function, Additive and Multiplicative property, Recurrence relation for moments, Fitting of Binomial Distribution, Poisson Distribution, Poisson Distribution as a limiting case of Binomial Distribution, mean and variance of Poisson distribution, Moments, Moment Generating Function, Additive and Reproductive property, Recurrence relation for moments, fitting of Poisson Distribution.

Discreet Distribution: Geometric Distribution, mean and variance, moment generating function of geometric distribution, Negative Binomial Distribution, Moment Generating Function, Mean and Variance, Recurrence formulae for negative Binomial Distribution, Poisson Distribution as a limiting case of Negative Binomial Distribution, Hyper Geometric Distribution, Mean and Variance, Recurrence relation for Hyper Geometric distribution..

Normal Distribution: Normal Distribution and its parameters, Standard Normal Distribution, Moments, Moments Generating Function, Area Property, properties of normal curve, Standard Scores, Advantages and Characteristics of Z Scores.

Continuous Distribution: Uniform Distribution, Moment Generating Function, Distribution Function, Moments of Uniform Distribution, Exponential Distribution, Moments, Moment Generating Function, Lack of Memory Property.

MSc-CS-16(Database Management Systems)

Introductory Concepts of Database Management Systems 

Basic Concepts: Introduction, Traditional file Oriented approach, Motivation for database approach database basics, three views of data, The three level Architecture of DBMS Mapping between different levels database Management System facilities, DDL, DML, Elements of a database Management System (DML Pre Compiler, DDL Compiler, File Manager, Database Manager, query Processor, database Administrator, Data dictionary), Advantages and disadvantages of database management system.

Basic Concepts: Data base Models and its Implementation: Introduction, File Management System Entity, Relationship (E-R) Model, The hierarchical model, DBTG set, the network model, The Relational model, Advantages and Disadvantages of Relational Approach, Difference between Relational and other models.

Basic Concepts: File Organization for Conventional DBMS Introduction, File Organization, Sequential file organization, Index-sequential file organization (Types of Indexes, Structure of IndexSequentialFiles,VSAM,ImplementationofIndexingthroughTree-Structure), Directfile organization, Multikeyfile Organization (NeedforthemultipleAccesspath, multicost, Fileorganization, Invertedfileorganization, cellularPartitions, comparisonand Tradeoff in the Design of Multikey file).

Basic  Concepts: Management Considerations: Introduction, Organizational Resistance to DBMS Tools (Political observation, Information transparency, Fear of future potential, Reasons for Success), Conversion from An Old system to a new system, Evaluation of a DBMS, Administration of a database Management System. 

Basic Concepts: Enterprise Wide Information System of the Times of India Group (A Case Study) Introduction, organization and The operating environment unique nature of The Business, Information System goals and how to achieve the Goal, the Response System and Respnet Choices, Benefits.


Relational Model: Concepts, Formal Definition of a Relation, the Codd, Commandments, Completeness.

Relational Model: Normalization Relational Algebra, Relational Functional dependency, Anomalies in a database, Properties of Normalized Relations, 1st NF, 2nd NF, 3rd NF, BCNF, Fifth Normal form examples of Database Design.

Relational Model: Structured Query Language Categories of SQL Commands, Data Definition, Data Manipulation, views. 

Relational Model: Distributed Databases Structure of Distributed database, Trade-OFFS in distributing the database, Design of Distributed Databases.


Emerging Trends in DBMS

Introduction to object oriented Database Management System: Next Generation database System, New database applications, object oriented database Management system, Promises and Advantages of object oriented Database Mgt. system, Difference between RDBMS and OODBMS, Alternative object oriented Database strategies.

Introduction to client/Server Database: Evaluation of client/Server, Emergence of client server Architecture, the client/server computing, the critical products, developing on Application, SQL (DDL, DML), Client/Server. Where to Next?

Introduction to Knowledge Databases: Definition and Importance of knowledge, Knowledge base system, Difference between a knowledge base system and a database system, knowledge Representation Schemes.

MSc-CS-17(Operating Systems)

Introduction: Operating System, Generation of operating systems, Processors, Memory, Disks, Tapes, I/O Devices, Buses, Mainframe Operating Systems, Server Operating Systems Multiprocessor Operating Systems, Real time, Operating systems, smart card operating systems.

Introduction to Graphs: Operating System Structure: Monolithic systems, Layered systems, Microkernels, client, Server Model, Virtual Machines.

Introduction to Graphs: Processes and Threads: The process Model, process creation, Process Termination Process States Implementation of Processes, Thread usage, The classical thread Model, Hybrid Implementations, Interprocess Communication, Race Conditions, Critical Regions, Mutual Exclusion with busy waiting, sleep and wakeup, semaphores,

Introduction to Graphs: Memory Management: The Notation of an Address Space, Swapping virtual memory, Paging Page labels, speeding up paging, page Replacement Algorithms, The optimal Page Replacement Algorithm, the (FIFO) Page, Replacement Algorithm, The second chance page Replacement Algorithm, The clock Page Replacement Algorithm, Design issues for Paging systems, Implementation Issues, Segmentation.

Deadlocks: Resources, The OSTRICH Algorithm, Deadlock, Avoidance, Deadlock prevention, Deadlock Detection and Recovery.

Security: Basics of Cryptography, protection Mechanisms, Authentication, Malware, Defenses.

Case Study 1: LINUX

Case Study 2: WINDOWS VISTA.

MSc-CS-18(Core Java)

Fundamentals of Java Programming

Introduction to Java: Applets and Applications, JAVA Buzzwords, The JAVA Plate form, Java libraries, starting with Java.

Data types, operators and Arrays: Data types in Java, Operators, Java keywords, Mixing Data types, Type Casting, Programming Constructs in Java, Arrays.

Classes and objects in Java: Classes and objects, Constructor, Sub classing, The extends keyword, The instance of operator, static variables and methods, The final keyword, Access Control, Wrapper classes, Inner classes.

Exception Handling: Exception classes, using TRY and CATCH, Handling Multiple exceptions, sequencing Catch blocks, Using Finally, Built-in Exceptions, throwing Exceptions, Catching Exceptions, user defined exceptions.

Packages and Interfaces: Creating Packages, Adding classes to existing Package, interfaces, creating Interfaces, Exceptions.

MSc-CS-20(Computer Graphics)

Introduction to Computer Graphics, Display Technologies, Random and Raster Scan, frame buffer, bit plane, input Devices, Graphics Standards, Graphics Hardware. Line and Circle Drawing Algorithms, Scan Conversion, filling algorithms, clipping, Two and Three Dimensional transformations, Homogeneous Coordinates, Rigid Body and Affine transformations, Parallel and perspective projections, vanishing points, viewing transformation, Hidden line removal method, Curve and Surface: Cubic Spline, Bezier curve, B-Spline Curves, Parametric Surface, Surface of revolution,Sweepsurface,FractalCurvesandsurfaces.IntroductiontoMulti-mediaTechnology, Audio System, Image Compression, Data Compression, Digital Motion Video, Authoring tools, Multimedia Applications, Multimedia DBMS.

MSc-CS-21 (Design and Analysis of Algorithms)

ELEMEMTARY ALGORITHMICS Structure : Introduction, Objectives, Example of an Algorithm, Problems and Instances, Characteristics of an Algorithm, Problems, Available Tools & Algorithms, Building Blocks of Algorithms, Basic Actions & Instructions, Control Mechanisms and Control Structures, Procedure and Recursion, Outline of Algorithmic, Understanding the Problem, Analyzing the Problem, Capabilities of the Computer System, Approximate v/s Exact Solution, Choice of Appropriate Data Structures, Choice of Appropriate Design Technology, Specification Methods for Algorithms, Proving Correctness of an Algorithm, Analyzing an Algorithm, Coding the Algorithm


Mathematical Functions & Notations, Functions & Notations, Modular Arithmetic/Mod Function, Mathematical Expectation, Principle of Mathematical Induction, Concept of Efficiency of anAlgorithm,WellKnownAsymptoticFunctions&Notations,EnumeratetheFiveWell-Known Approximation Functions and How These are Pronounced, The Notation O, The Notation ω, The θ Notation, The Notation o, The Notation w.

BASICS OF ANALYSIS: Structure, Introduction, Objectives, Analysis of Algorithms Simple Examples, Well Known Sorting Algorithms, Insertion Sort, Bubble Sort, Selection Sort, Shell Sort, Heap Sort, Divide and Conquer Technique, Merge Sort, Quick Sort, Comparison of Sorting Algorithms, Best-Case and Worst-Case Analyses, Various Analyses of Algorithms, Worst-Case Analysis, Best-Case Analysis, Analysis of Non-Recursive Control Structures, Sequencing, For Construct, While and Repeat Constructs, Recursive Constructs, Solving Recurrences, Method of Forward Substitution, Solving Linear Second-Order Recurrences with Constant Coefficients, Average-Case and Amortized Analyses, Average-Case Analysis 3.8.2 Amortized Analysis

DIVIDE-AND-CONQUER: Introduction, Objectives, General Issues in Divide-and-Conquer, Integer Multiplication, Binary Search, Sorting, Merge Sort, Quick Sort, Randomization Quick- sort, Finding the Median, Matrix Multiplication, Exponentiation.

GRAPH ALGORITHMS: Introduction, Objectives, Examples, NIM/ Marien bad Game, Function For Computing Winning Nodes, Traversing Trees, Depth-First Search, Breadth-First Search, Algorithm of Breadth First Search, Modified Algorithm, Best-First Search & Minimax Principle, Topological Sort

DYNAMIC PROGRAMMING: Introduction, Objectives, The Problem of Making Change, The Principle of Optimality, Chained Matrix Multiplication, Matrix’ Multiplication Using Dynamic Programming.


Introduction, Objectives, Some Examples, Formalization of Greedy Technique, Function Greedy- Structure (GV: set): Set, Minimum Spinning Tree, Prim’s Algorithm, Kruskal’s Algorithm, Dijkstra’s Algorithm.

MODELS FOR EXECUTING ALGORITHMS-I: FA: Regular Expressions, Introduction to Defining of Languages, Kleene Closure Definition, Formal Definition of Regular Expressions, Algebra of Regular Expressions, Regular Languages, Finite Automata, Definition, Another Method to Describe FA.

MODELS FOR EXECUTING ALGORITHMS-II: PDFA & CFG: Formal Language & Grammar, Context Free Grammar (CFG), Pushdown Automata (PDA).

MODELS FOR EXECUTINGALGORITHMS-III: TM: Prelude to Formal Definition, Turing Machine: Formal Definition and Examples, Instantaneous Description and Transition Diagram, Instantaneous Description, Transition Diagrams, Some Formal Definitions, Observations, Turing Machine as a Computer of Functions.

ALGORITHMICALLY UNSOLVABLE PROBLEMS: Decidable and Undecidable Problems, The Halting Problem, Reduction to Another Undecidable Problem, Undecidability of Post Correspondence Problem, Undecidable Problems for Context Free Languages, Other Undecidable Problems.

COMPLEXITY OF ALGORITHMS: Notations for the Growth Rates of Functions, The Constant Factor in Complexity Measure, Asymptotic Considerations, Well Known Asymptotic Growth Rate Notations, The Notation O, The Notation ω, The Notation θ, The Notation o,The Notation w), Classification of Problems, Reduction, NP-Complete and NP-Hard Problems, Establishing NP-Completeness of Problems.

MSc-CS-23(Artificial Intelligence)

Introduction to Artificial Intelligence: Overview of A.I., Knowledge : General Concepts, Definition and Importance of knowledge, knowledge Based systems, Representation of knowledge, knowledge organization, knowledge Manipulation, Introduction to Lisp, Functions, Predicates and Conditionals, Input, Output and Local variables, Iteration and Recursion, Property lists and Arrays.

Knowledge Representation: Formalized symbolic logics, syntax and Semantics for Propositional logic, Syntax and Semantics for FOPL, Properties of wffs, Inference Rules, The Resolution Principle, Truth Maintenance Systems, Model and Temporal Logics, Fuzzy Logic and Natural Language computations. Associative Networks, Frame Structures, Conceptual Dependencies and Scripts, Objects, class, Message, and Methods, object Oriented Languages and systems.

Knowledge Organization and Manipulation: Preliminary Concepts, Uniformed or blind search, Informed Search, Indexing and Retrieval Techniques, Integrating knowledge in Memory, Measures for Matching, Matching like patterns, Partial Matching, Fuzzy Matching Algorithms, The RETE Matching Algorithm.

Perception Communication, and Expert systems: Commands and Languages, Basic Parsing Techniques, Semantic Analysis and Representation Structures, Natural language Generation, Natural language Systems, Pattern Recognition, The Recognition and classification Process, Learning classification Pattern, Recognizing and understanding speech.

Knowledge Acquisition: Types of Learning, General Learning Model, performance Measures, Perceptions, learning Automata, Genetic Algorithms, Induction Basic Concepts, Inductive Bias, Generalization and specialization, The ID3 system, the LEX system The INDUCE system, Learning structure concepts.

MSc-CS-24(Parallel Computing)

INTRODUCTION TO PARALLEL COMPUTING: History of Parallel Computers, Problem Solving in Parallel, Concept of Temporal Parallelism, Concept of Data Parallelism, Performance Evaluation, Some Elementary Concepts, The Concept of-Program, The Concept of Process, The Concept of Thread, The Concept of Concurrent and Parallel Execution, Granularity, Potential of Parallelism, The Need of Parallel Computation, Levels of Parallel Processing, Instruction Level, Loop Level, Procedure Level, Program Level, Dataflow Computing, Applications of Parallel Processing, Scientific Applications/Image Processing, Engineering Applications, Database Query/Answering Systems, AI Applications, Mathematical Simulation and Modeling Applications, India’s Parallel Computers, Parallel Terminology used.

CLASSIFICATION OF PARALLEL COMPUTERS: Types of Classification, Flynn’s Classification, Instruction Cycle, Instruction Stream and Data Stream, Flynn’s Classification, Handler’s Classification, Structural Classification, Shared Memory System/Tightly Coupled System, Uniform Memory Access Model, Non-Uniform Memory Access Model, Cache-only Memory Architecture Model, Loosely Coupled Systems, Classification Based on Grain Size, Parallelism Conditions, Bernstein Conditions for Detection of Parallelism, Parallelism Based on Grain Size

INTERCONNECTION NETWORK structure: Network Properties, Design issues of Interconnection Network, Various Interconnection Networks, Concept of Permutation Network, Performance Metrics.

PARALLEL COMPUTER ARCHITECTURE: Pipeline Processing, Classification of Pipeline Processors, Instruction Pipelines, Arithmetic Pipelines, Performance and Issues in Pipeline, Vector Processing, Array Processing, Associative Array Processing, Superscalar Processors, VLIW Architecture, Multi-threaded Processors

PARALLEL ALGORITHMS: Analysis of Parallel Algorithms, Time Complexity, Asymptotic Notations, Number of Processors, Overall Cost, Different Models of Computation, Combinational Circuits, Parallel Random Access Machines (PRAM), Interconnection Networks, Sorting, Combination Circuit for Sorting the String, Merge Sort Circuit, Sorting Using Interconnection Networks, Matrix Computation, Concurrently Read Concurrently Write (CRCW), Concurrently Read Exclusively Write(CREW)

PARM ALGORITHMS: Message Passing Programming, Shared Memory, Message Passing Libraries, Data Parallel Programming, Data Structures for Parallel Algorithms, Linked List, Arrays Pointers, Hypercube Network

PARALLEL PROGRAMMING: Introduction to Parallel Programming, Types of Parallel programming, Programming Based on Message Passing, Programming Based on Data Parallelism, Processor Arrangements, Data Distribution, Data Alignment, The FOR ALL Statement, INDEPENDENT Loops, Intrinsic Function, Shared Memory Programming, Open MP, Shared Programming Using Library Routines, Example Programmes for Parallel Systems.

OPERATING SYSTEM FOR PARALLEL COMPUTER: Parallel Programming Environment Characteristics, Synchronization Principles, Wait Protocol, Sole Access Protocol, Multi Tasking Environment, Concepts of Lock, System Deadlock, Deadlock Avoidance, Message Passing Programme Development Environment, UNIX for Multiprocessor System

PERFORMANCE EVALUATIONS: Metrics for Performance Evaluation, Running Time, Speed Up, Efficiency, Factors Causing Parallel Overheads, Uneven Load Distribution, Cost Involved in Inter-processor Communication, Parallel Balance Point, Synchronization, Laws For Measuring Speedup Performance, AMDAHL’s Law, GUSTAFSON’s Law, SunandNi’s LAW, Tools For Performance Measurement, Performance Analysis, Search-based Tools, Visualization, Performance Instrumentation

RECENT TRENDS IN PARALLEL COMPUTING: Recent Parallel Programming Model, Parallel Virtual Machine, Grid Computing, Cluster Computing, IA 64 Architecture, Hyper- threading

MSc-CS-25 (Correlation, Regression And statistical Inference)

Correlation and Regression

Bivariate Data and Correlation: Scatter Diagram, Karl Pearson’s coefficient of correlation, Properties of correlation coefficient, limits of correlation coefficient, Effect of change of origin and scale on correlation coefficient.

Regression: Regressions, linear regression model, principal of least square, Regression lines, Regression coefficient, Properties of Regression coefficients.

Correlation and Intra Class Correlation: Rank correlation coefficient, Spearman’s rank correlation coefficients, rank correlation coefficient for tied ranks, Intra-class correlation, some remarks on Intra-class correlation.

Theory of Attributes: Combinations, Classes and Class frequencies of Attributes, Dichotomous Classification, Consistency of data, joint distribution of attributes, Contingency tables, Independence and Association of Attributes, Measures of Association, Yates Correction.

Basic Principles of Statistical Inference Estimation: Point Estimation, properties of a good estimator, Consistency, Unbiasedness, Efficiency, Sufficiency, Confidence Interval Estimation.

Method of Estimation: Procedures of Estimation, Method of Moments, method of Maximum Likelihood, Method of Scoring, Properties of Estimators.

Testing of Hypothesis: Statistical Hypothesis, Simple and Composite Hypothesis, Critical Region, Two kinds of Error, One-tailed and Two-tailed tests, Test of Significance, Most Powerful Test, Uniformly Most Powerful Test.

Test of Significance

Exact Tests and Fisher’s transformations: Tests of Significance based on Chi-Square Distribution, Tests of Significance based on t Distribution, Tests of Significance based on F Distribution, Tests of Significance based on Fisher’s Z-Distribution.

Large Sample Tests: Testing Significance of Mean, Testing Equality of Means, Testing Significance of Proportion, Testing Equality of Proportions, Testing Significance of Standard Deviation, Testing Equality of Standard Deviation.

Non-Parametric Tests: Non Parametric Tests, Sign Test, Wilcoxon Signed-Rank Test, Mann- Whitney U-Test, Run Test.

MSc-CS-26 (Mathematical Analysis)

Riemann Stieltjes integrals, Fourier series and Functions of bounded variation

Riemann Stieltjes integrals: Absolutely continuous functions. Riemann Stieltjes integrals. Basic theorems. Definitions, Linear properties, integration by parts, change of variable in Riemann Stieltjes integrals, upper and lower integrals, necessary and sufficient conditions for existence of . Riemann Stieltjes integrals, integral as a function of parameters, differentiation under the integral sign.

Fourierseries:Fourierseries, orthogonal system of functions, Fourier series of a function relative to anorthogonal system, properties of Fouriercoefficients, Reusz-Fischartheorem, convergence and representation problems for Fouriermetricseries, sufficient conditions for convergence of Fourier series at a particular point.

Bounded Variation: Functions of bounded variation, total variation, function of bounded variation expressed as the difference of increasing functions, continuous functions of bounded variation, Absolutely continuous functions.

Metric spaces & Continuity

Metric spaces: Metric Spaces, open and closed sets, limit and cluster points, Cauchy Sequences and completeness, Convergence of sequences, Completeness of R”. Baire’s  theorem. Cantor’s ternary set as example of a perfect set which is now here dense. 

Continuity: Continuity and uniform continuity of a function from a Metric space to a Metric space. Open and closed maps, Compact spaces and compact sets with their properties. Continuity and compactness under continuous maps.

MSc-CS-27(Operation Research)

Introduction to Operations Research

Operation Research – An Overview: History, Approach, Techniques and Tools, Relationship Between O.R. specialist and Manager, Applications of OR., Phases and Processes of O.R., Study, Limitations of operation Research,

Review of Probability and Statistics: Random Experiment and Probability, Random variable, Probability distribution, Standard Discrete Probability distributions, Continuous Probability Distributions.

Programming Techniques Linear Programming and Applications:

Linear Programming – Graphical Method: Formulation of a linear programming problem, Formulation with Different types of constraints, Graphical Analysis, Graphical Solution, Multiple, unbounded solution and in-feasible problems, Application of linear programming in Business and Industry, self-Assessment Exercises.

Linear Programming – Simplex Method: Principle of Simplex Method, Computational Aspect of simplex Method, Simplex Method with Several Decision Variables, Two phase and M-Method, Multiple, unbounded solutions and infeasible problems, sensitivity Analysis, Dual Linear Programming problem.

Transportation Problem: Basic Feasible solution of a transportation problem (The North West Corner Rule, Matrix Minimum Method, Vogel Approximation Method (VAM), Modified Distribution (MODI) Method stepping store Method, Unbalanced Transportation problem, Degenerate Transportation problem, Transshipment problem, Maximization in a transportation problem,

Assignment problem: Unbalanced Assignment problem, Problem with some infeasible Assignments, Maximization in an Assignment problem. Crew Assignment problem.

Programming Techniques Further Applications:

Goal Programming: Concepts of Goal Programming, Goal Programming Model Formulation, Graphical Method of goal programming, the simplex Method of Goa lProgramming, Application Area of Goal Programming,

Integer Programming: Integer Programming Formulation Techniques, Unimodularity, cutting plane method, Branch and Bound.

Dynamic Programming: Dynamic Programming Methodology, Definitions and Notations,

D.P. Applications.

Non-Linear Programming: Solution of a Non-linear Programming problem Convex and  Concave function, KUHN TUCKER conditions for Constrained optimization, Quadratic Programming, Separable Programming.

Inventory and Waiting Line Models

Inventory Control – Deterministic Models: Inventory: An Essential Requirement, objectives of inventory, Functions of inventory, Classifications of inventory, Factors Affecting inventory, Inventory Modeling, Deterministic single item inventory models Deterministic Multi item inventory Models.

Inventory Control : Probabilistic Models: Inventory Model with probabilistic Demand, Single period probabilistic Models, Multi-period probabilistic Models, Inventory Control systems, Fixed Order, Quantity system, Periodic Review System, other variants of probabilistic Models.

Queuing Models: Characteristics of A Queuing Model, Notations and  symbols, Statistical Methods, in Queuing, The M/M/I System, The M/M/C system, The M/Ek/I System, Decision Problems in Queuing.

Game Theory and  Simulation:

Competitive situations: Game Theory: Definitions and Explanation of some important terms saddle points, dominance, mixed strategies: Games without saddle points, 2 x n Games, Exploiting an Opponents and Mistakes.

Simulation: Reasons for using simulation, limitations of simulation, steps in the simulation process, Practical Applications of simulation, Hospital Simulation, Simulation and Inventory Control, Computer Simulation. 

Case Studies

Case 1: Insulator India Limited

Case 2: Use of Operations Research Techniques: A Case Study of ECS Corporation.


Block 1: Importance of programming languages, brief history and features, attributes of good programming language, binding and binding time.

Block -II :Elementary and structured data types, their specifications, representations and Implementation of numbers, vectors and arrays, record, character string, variable data size, data structure, sets, input files, Encapsulation and information hiding, sub programs, Type definition and abstract data types, Implicit and explicit sequence control, Recursive sub-programs, exception and exception handlers, Co-routines and scheduled subprograms, task and concurrency exception, Name and reference environment, static dynamic block structure.

Block III: local data and local referencing environments, Dynamic and static scope of shared data, Block structure, parameters and their transmission, Task and shared data storage requirement for major runtime elements, Program and system controlled storage management,  Static and stack based storage management, Fixed size and variable size heap storage management

MSc-CS-29 (Web Technology)

Block - I

History of the Internet and World Wide Web -III ML 4 protocols - RCM, SMTP, POP), MIME, IMAP. Introduction to JAVA Scripts - Object Based Scripting for the web,Structures - Functions - Arrays - Objects.

Block - II

Introduction - Object refers, Collectors all and Children. Dynamic style, Dynamic position, frames. navigator, Event Model - On check - On load - - Form process - Event Bubblers- filters -Transport with the Filter - Creating Images Adding shadows - Creating Gradients - Creating Motion with Bar-Data Binding - Simple Data Binding - Moving with a record set - Sorting  table data, binding of an image and table.

Block - III

database, Relational Database model - Overview, SQL - ASP - Working of ASP - Objects - File System Objects - Session tracking and cookies - ADO - Access a Database from ASP - Server side Active-X Components - Web Resources - XMIL - Structure in Data Name spaces - D7D- Vocabularies - DOM methods.

Block -IV

Introduction,  Servlet, Overview Architecture - Dandling II P Request - Go and post request - redirecting request multi-tier applications - ISP - Overviews - Objects - scripting - Standard Actions - Directives. Brief survey of Web 2.0 technologies, introduction to Semantic web and other current technologies

4. Bachelor in Science (B.Sc.)



Paper No.

Course Code

Title of the Course


Compulsory Elective

Compulsory Core Course


1st year





Elementary Mechanics


3            8






Oscillation and Waves



Practical Based on UGPHS 01 & 03


2nd year




Electric and Magnetic Phenomena


3            8








Electric Circuits and Electronics





Practical Based on UGPHS 04 & 05



3rd year




Thermodynamics & Statistical Mechanics


3            8









Practical Based on UGPHS 06 & 07

Discipline-Centric Elective Course ¼Select any two Papers)




Modern Physics










Mathematical Methods in Physics - I





Mathematical Methods in Physics - II




Quantum Mechanics: Approximation Methods & Perturbation Theory


Compulsory Foundation Course


1st year




Foundation Course in Open and Distance Learning



2nd year




Foundation Course in Environment Awarness



3rd year




Foundation Course in Information Technology



Elective foundation Course


1st year




Foundation Course in Humanities and Social Science






2nd year









Foundation Course in English


Foundation course in Hindi





3rd year
















Foundation course in disaster management


Human Environment


Nutrition for the Community


Solid waste Management 








Skill Based Programs (select  either in 2nd year or in 3rd  year ½

Either in 2nd year


 in 3rd  year
















Microsoft Office and Internet


Programming & problem solving using ‘C’ Language


Computer Network & Security Maintenance


Energy and Environment













Elementary Mechanics

Block- 1 Concept in Mechanics

Unit-1       Motion – Introduction, Language, for describing motion, vectors, Products of vectors, Displacement, Velocity & Acceleration, Uniform Circular motion, Relative motion.

Unit-2      Force and Momentum – Introduction, Newton’s of motion, Application of Newton’s Equilibrium of forces, Linear Momentum Conservation of linear momentum, Impulse, motion with mass.

Unit-3      Work and Energy – Introduction, works dome by constant force & variable force, Energy, Kinetic Energy – work-energy, Theorem, Conservative force and Potential Energy, Principal of Conservation of energy, Elastic and Inelastic collisions, Power

Unit-4       Angular Motion – Introduction, Kinematics of Angular motion, angular displacement, angular velocity and angular acceleration relation linear and angular kinematical variables, circular motion, Torque, kinetic energy of rotation, angular momentum, conservation of angular momentum and its application

Unit- 5       Gravitation – Introduction, Law of Gravitation, arriving at the law moon’s rotation about earth, principal of superposition, Gravitational field and potential Gravitational P.E., due to a spherical shell and solid sphere, Gravity and its variation, velocity of scope, fundamental forces in Nature.

Block - 2    Systems of Particles

Unit-6         Motion under Central Conservative Forces- Central conservative forces, Properties of motion under central conservation forces, Inverse square central conservative forces.

Unit – 7       Many-Particles System – Introduction, Motion of two-body system, equation of motion in centre of mass and relative coordinates, linear and angular momentum and kinetic energy, dynamics and many particle system, linear momentum, Angular momentum , K.E. of N-Particle system.

Unit-8          Scattering – Introduction, Scattering cross-sections, differential cross – section total cross- section, laboratory and centre of mass farmers of reference, Relations between augus and scattering cross section in the lab and C.M. Farmers of Reference, Impact Parameters, Elasting Scattering of two Hard Shapers, Rutherford scattering.

Unit-9           Rigid Body Dynamics- Introduction, a rigid body and its motion, Translational, general and Rotational motion of a rigid body, moment of inertia, determination of moment of Inertia of a rigid body. Rotational Dynamics of rigid body, rotational Analogue of Newton’s second law, work and energy in Rotational motion, conservation of Angular momentum and its Application, Precession.

Unit-10       Motion in Non Inertial Frames of References- Introduction, Non- inertial frame of reference, motion observed from a non-inertial frame, Newton’s Second law and Inertial Forces, Weightlessness. Rotating Frame of reference, Time derivatives in Inertial and Rotating Frames, centrifugal  force, carioles forces, The earth as a rotating frame of reference, the variation of g with latitude , Motion on the rotating earth, Foucault’s Pendulum.

Oscillation and Waves

Block- 1 Oscillations and Waves

Unit-1             Simple Harmonic Motion (SHM) – Introduction, SHM-, basic characteristics, oscillations of spring mass system, differential equation of SHM. Amplitude and phase, Time Period and frequency, velocity and Acceleration, example of SHM.

Unit-2           Superposition of Simple Harmonic Oscillations – Introduction, Principles of Superposition, Superposition of two Harmonic oscillations of two collinear Harmonic oscillations of different frequencies, superposition of many harmonic oscillation of the same frequencies, Method of vector addition method of complex numbers, oscillations in two dimensions, superposition of two mutually perpendicular Harmonic and too harmonic oscillations of same and nearly equal frequencies.

Unit-3             Damped Harmonic Motion – Introduction, Differential equation of a Damped oscillators, Solutions of differential equation, heavy damping, critical damping, weak or light damping, methods of describing damping, logarithmic decrement, relaxation time, quality factor, examples of weakly damped systems, LCR circuit, Galvanometer.

Unit-4             Forced oscillations and resonance-  Introduction, differential equation of a weakly damped forced oscillators, Solution of the differential equations, steady state solution, Effect of the frequency of the driving force on the amplitude and phase of steady – state forced oscillations law driving frequency, Resonance, frequency, high driving frequency, power absorbed by a forced oscillator, Quality factory.

Unit-5             Coupled Oscillations- Introduction, Oscillations of two coupled masses, differential equation, co-ordinates and Normal modes, Modulation of Coupled oscillations, Energy of two couple masses, Normal mode Analysis of other coupled systems two coupled pendulums, inductive coupled LC-circuits, longitudinal oscillations of N – coupled masses : The wave equation.

Block – 2        Waves

Unit-6             Wave Motion – Introduction, Basic concepts of wave motion, types, propagation, Graphical representation of wave motion, Relation between phase velocity, Frequency and wavelength Mathematical description of wave motion, energy Transported by progressive waves, One dimensional progressive waves. Waves equations, waves on stretched string, waves in fluid, waves in uniform Rod, Wave motion and impedance, Transverse waves, sound waves, Waves in  two and three dimensions.

Unit-7             Waves at the Boundary of two media – Introduction, Concept of wave of wave front and Huygen’s Constitution, Reflection and Refraction of waves, Transmission Amplitude Coefficients, Transverse and longitudinal waves, Transmission energy Coefficients, the Doppler effect, Source in motion and observed both in motion, shock stationary and observed in motion, source and observed both in motion, shock waves.

Unit-8             Superposition of Waves-I – Introduction, Principle of superposition of waves stationary waves, velocity of a particle and strain at any point in a stationary wave. Harmonics in stationary wave, properties of stationary waves, waves groups and group velocity beats.

Unit-9             Superposition of Waves-II – Introduction, Interference, coherent sources, Interference between waves from two slits, Intensity distribution in interference pattern interference in thin films, Diffraction, types fraunhofer and frensel, fraunhofer diffraction by a single lilt, diffraction by a single slit, diffraction at a straight Edge. 

Electric and Magnetic Phenomena

Block- 1 Electrostatics in free space

Unit-1             Electric Charge, Force and field – Introduction, Propertied, types, unit conservation, Quantization of charge, coulomb’s law, Principle of superposition, electric lines of force.

Unit-2             Gauss’s Law – Introduction, Counting lines of force, electric flux, Gauss’s law, spherical, line, plane symmetry, Charge isolated conductor, differential.

Unit-3             Electric  Potential -  Introduction, Gradient of Scalar, Line Integral of vector, line integral of electric field, path independence of line integral of electric field, consequence of path  Independence, Electric potential, Potential due to system of charge potential difference relation between electric field and electric potential, Electric field and potential of an electric Dipole and quadrupeds; Dipole in an electric field

Unit- 4            Potential for continuous charge distributions and Energy – Introduction, line charge, charge circular Disc, equi potential surface, electrostatic potential energy, Nature of electrostatic force method of Images.

Block -2 Electrostatic in Medium

Unit-5             Macroscopic Properties of Dielectrics -  Introduction, Simple models of dielectric material, Behavior of a dielectric in a electric field, Gauss’s law in dielectric medium, displacement Vector, Boundary conditions D and E, Dielectric Strength and Dielectric Breakdown 

Unit-6             Capacitor – Introduction, Capacitor, Parallel plate capacitor or condenser energy stored in a capacitor, Parallel plate capacitor with dielectrics, Voltage, rating of capacitor, capacitance of cylindrical capacitor, capacitor in series and parallel, combinations of  capacitor in parallel and series energy, stored in a dielectric medium practical capacitors, Fixed, Ceramic, Electrolytic, variable air capacitor/ Gang Capacitor, Guard Ring Capacitor.

Unit-7             Microscopic properties of dielectrics - Introduction, uniform electric field, Clausius mossotte formula, Polarisation in Gas, Relation and Refractive Index: Behavior or dielectric in changing Alternating Fields, Role of dielectric in practical life.

Block -3 Electric Current and Magnetic Field

Unit-8             Electric Current-  Introduction, electric current and current density conduction mechanism, Drift velocity and ohm’s law Temperature dependence of resistively, Break down of ohm’s law current voltage relationship of Diode (non-ohmic conduct).

Unit-9             Magnetic Field- Introduction, Defn and source of magnetic field Gauss’s law of magnetism, Biot and savart law. Force between two parallel Conductors, Ampere’s law , Application and differential forms of ampere’s Torque on a current loop.

Unit-10           Motion of charges in electric and magnetic field – Introduction, motion in an electric field, motion in magnetic field, cathode Roy oscilloscope (CRO) electrostatic Deflection, magnetic Deflection, Lorentz force and its applications velocity selector cyclotron. 

Unit-11           Magnetism of materials – I Introduction, response of various substance of a magnetic field, magnetic field, magnetic moment and Angular momentum of an Atom, Diamagnetism and Paramagnetism, Interaction of an atom with magnetic field, larmor Precession, magnetization of paramagnets.

Unit- 12          Magnetism of materials- II    Introduction, Ferromagnetism, magnetic field due to a magnetized material, The Auxiliary field H, Magnetic Intensity, Relationship between B an H for magnetic material, magnetic circuits.

Block-4 Electromagnetism

Unit-13           Electromagnetic Induction-  Introduction, Induced currents, faraday’s law, lenz’s law, motional electrometric force, Inductance self and mutual inductance, The transformer, energy stored in magnetic field, and Inductor.

Unit-14           Maxwell’s equations and electromagnetic waves – Introduction, Maxwell’s equations, electrometric force Inductance self and mutual Inductance, The transformer, Energy stored in a magnetic field and Inductor.

Unit-15           Reflection and Refraction of electromagnetic waves – Introduction, Boundary conditions, reflection and refraction at normal incidence, law of reflection and refraction, Generation of electromagnetic waves

Electrical Circuit and Electronics

Block- 1 Network Analysis and Devices

Unit-1             Circuit Analysis – Introduction, Circuit elements, Kirchoff’s law, complex Impedances, Current- voltage source, Transformations, Superposition, Theorem, Reciprocity Theorem, Thevenin’s Theorem, Norton’s Theorem, maximum power Transfer theorem.

Unit-2             A.C. and D.C. Circuit- Introduction, recall complex Impedance, Resonant circuit, Series resonant circuit independence and phase angle of series resonant circuit, voltage and current in series resonant circuit, Band width of RLC circuit Parallel Resonance, Q factor of parallel resonant circuit, Impedance matching, Theory of passive filters, constant K law and high filter, Band pass filters, Attenuator, T-Z and lattice Attenuator.

Unit-3             Electron Device- Introduction, vacuum tubes, thermionic Emission, Vacuum Diode, Triode, Tetrode and Pentode, Semiconductor materials, p-n Junction Diodes, Transistor, MOSEFT.

Block-2           Electronic Circuits

Unit-4             Amplifiers- Introduction, Classification, equivalent circuit of transistor, common Emitter, common base, common collector amplifier, operating point and bias stability, small signal amplifier, coupling and by pass capacitors multistage amplifiers, frequency response of an R-C coupled amplifiers, large signal amplifiers, single ended power amplifiers, push-pull amplifiers. Raio frequency amplifiers, single and double tuned voltage amplifiers.

Unit-5             Oscillators- Introduction, concept of feedback, negative feed bade and its effect on amplifiers performance, positive feedback and oscillations, LC oscillators, Tuned collector Oscillators, Hartley and colpit oscillators, R-C oscillators, phase- shift oscillator, wien bridge oscillator.

Unit-6             Power Supply- Introduction, power source, voltage & current source DC power unit the transformer, half wave rectification full wave rectification, performance of half and full  wave rectification, filter circuits, capacitance, Inductance and LC Filters, Regulation of output voltage, principle of regulation, Zener regulator.

Block-3           Linear Integrated Circuits

Unit-7             The operational Amplifier- Introduction, Technical detailed of op amps, symbol, Package, Number Code, Power supply, Precautions, characteristics of op Amps, input-output relationship, input offset voltage, output offset  voltage Differential input resistance, common mode rejection ratio maximum output current, power consumption, slew rate, Gain Bandwidth product, characteristics of Ideal of Amp. And 741C, Equipment circuit of an op amp. Ideal voltage Transfer cure, op amp as a comparator, voltage level Detector, Zero crossing detector.

Unit-8             Applications of operational Amplifiers- Introduction, Inverting amplifiers, non-inverting amplifiers, inverting adder, Basic, differentiator, Basic integrator, feedback in op Amp.

Unit-9             Linear IC’s- Amplifiers and Voltage regulators- Introduction, Power amplifiers IC LM380, Pin out and block diagram, fixed Gain audio amplifier, Higher and variable Gain amplifiers, voltage Regulator IC’s Dropout voltage, self protection circuit, performance parameter, fixed voltage regulators adjustable voltage regulators.

Block-4           Digital Electronics

Unit-10           Number System and Codes- Introduction, Binary Number system, Octal number system, Octal to Decimal to Octal, Octal to binary, Binary to octal conversion, Hexadecimal number system, Hex to Decimal, Decimal to Hex, Hex to binary, Binary to Hex, Hex to octal to  Hex conversion, Codes, BCD and ASCII code, binary arithmetic.

Unit-11           Fundamentals of Boolean algebra and Flip Flops – Introduction, logic Gates, AHP, OR, NOT Gates, Combination of logic Gates, Boolean theorem, Algebric method for combinational logic, exclusive- OR and MOR Gates, Half and full adder, Flip-Flops, RS flop,  Flop clocked RS, D, and JK flip flop. 

Unit-12           Registration, Counters, Memory circuit and Analog/ Digital Converters- Introduction, Registers, Buffer, Controlled Buffer, Shift Controlled Shift registers, Counters, People counters, Synchronous Ring, Controlled synchronous, decade counter, Semiconductor memories, RAM, ROM, A/D and D/A converters.

Unit-13           Electronic Instruments – Introduction, Cathode Roy oscilloscope, Cathode Ray Tube, The Basic oscilloscope, laboratory, oscilloscopes, Measurement of voltage, current and time, digital and storage oscilloscope, signal Generators, Electronic voltmeter, Power meter, magnetic field meter.

Thermodynamics and Statistical Mechanics

Block-1    The Zeroth Law & the First Law

Unit-1      Basic concepts of thermodynamics – Introduction, Classifications of system and Boundaries, Intensive and Extensive variables, Thermodynamic equilibrium, eversible and irreversible process, quasistatic process, The Zoroth law of Thermodynamics The equation of state.

Unit-2      Measurement of Temperature- Introduction, principles of measurement of temperature, Gas Thermometer, Resistance Thermometers, Thermocouples radiation, pyrometers, the international practical temperature scale.

Unit-3      The first law of Thermodynamics- Introduction, heat work, expression for work, path dependence of work and heat, internal energy, First law of Thermodynamics.

Unit-4      Applications of the first law of Thermodynamics -  Introduction, Difference of heat capacities of a gas, equation of state for adiabatic processes, the enthalpy Hess’s law.

Block-2    The second and The third Law of Thermodynamics-

Unit-5      Entropy and the second law of Thermodunamics- Introduction, Entropy, The second law of Thermodynamics, Entropy change of an ideal gas, entropy of mixing and phase transition, The Carnot cycle, Heat Engines, Refrigerators. 

Unit-6      The Thermodynamic Potentials – Introduction, Thermodynamic potential functions, General Condition for thermodynamic equilibrium, equilibrium conditions for specific processes, Maxwell’s relations, Deductions from Maxwell’s relations, Tds equations, energy equations, Heat capacity equations.

Unit-7      Phase Transitions- Introduction, Phase equilibrium, First order phase transitions, Latent Heat equations, Higher order phase transitions, Gibbs phase rule.

Unit-8      Production of law temperatures and The Third law- Introduction, ordinary methods of cooling, Joule Thomson effect, liquefaction of Gases, Adiabatic demagnetization, The third law of thermodynamics consequences of the third law Unassailability of absolute Zero.

Block-3    Elementary Kinetic Theory

Unit-9     Ideal Gases- Introduction, Assumptions of Kinetic Theory, pressure exerted by a gas, Kinetic interpretation of temperature molecular speeds, deduction of gas laws, Equipartition of energy , Head capacities of gases.

Unit-10    Transport Phenomena- Introduction, mean free path, elementary derivation distribution of free paths, experimental determination, Transport phenomena viscosity, transport of momentum thermal conductivity, transport of energy, diffusion, Transport of matter.

Unit-11   Brownian Motion – Introduction Brownian motion revisited, one dimensional random work, Theoretical analysis of Brownian motion Einstein’s derivation, langevin’s analysis, determination of Auogadra’s Number.

Unit-12    Real Gases- Introduction, Deviations from Ideal Gas Behaviour Vander Waals equation of state, other equations of state.

Block-4    Elements of Statistical Mechanics

Unit-13  Basic Concepts of Statistical Mechanics- Introduction, elementary probability theory, elementary, combinatories random variables, Description of system in equilibrium, Bridging Microscopic and Macroscopic view points, Distribution functions.

Unit-14   The Partition function- Introduction, The partition function of an ideal monatomic gas, Thermodynamics functions, Gibbs Paradox, The Sackur tetrode formula, Diatomic gases, Rotational and vibrational partition functions, Heat capacity of hydrogen.

       Unit-15    Quantum Statistics – Introduction, towards quantum statistics, Ideal Base Einstein                                       Gas, Einstein distribution function, Bose’s derivation of plank’s law, condensation, Ideal                               Fermi Dirac Gas Fermi- Dirac distribution function, Fermi energy, Electronic Heat capacity.


Block-1    Introduce Light

Unit-1      Nature of Light – Introduction, the corpuscular model, the wave model, light as an electromagnetic wave, the pointing, vector, the electromagnetic spectrum.

Unit-2      Reflection and Refraction of light- Introduction, electromagnetic waves at the interface separating two media, idealization of waves as light rays, Fermat’s principle.

Unit-3      Perception of light- Introduction, Human vision, colour vision, colour receptors.

Unit-4      Polarisation of light- Introduction, simple state of polarized light, linear polarization, circular polarization, Elliptical polarization, principles of producing linearly polarized light, Malu’s law, Brewser’s law, polarization by double refraction, selective absorption dichrosim, wave place circular elliptic polarizes.

Block-2    Interference

Unit-5      Interference by Division of wave front- Introduction, wave motion, principle of superposition, Young’s double-slit Experiment, white light fringes, displacement of fringes, fresnel’s Biprism.

Unit-6      Interference of division of amplitude- Introduction, stokes analysis of phase change on reflection, Interference in thin films, interference by a wedge, shaped film Newton’s Rings, applications of the principle of interference in thin films.

Unit-7      Interferometry- Introduction, Micheloson Interferometer, circular fringes, localized fringes, white light fringes, adjustment of the Michelson interferometer, Fabryperot, Interferometer, Intensity distribution, Superiority over Michelson, Interferometer.

Blcok-3    Diffraction

Unit-8      Fresnel Diffraction- Introduction, observing diffraction, diffraction pattern transition from Fresnel to fraunhofer class, Fresnel construction, Half period elements, Rectilinear Propagation, the zone plate, diffraction patterns of simple obstacles, circular aperture, straight edge.

Unit-9      Fraunhoper diffraction- Introduction, diffraction from single slit, diffraction by circular aperture.

Unit-10    Diffraction Grating – Introduction, diffraction from two vertical slits, Intensity distribution in double slit pattern, positions of minima and maxima, missing orders, graphical presentation Fraunhofer pattern from Nidential slits, diffraction grating.

Unit-11    Diffraction and resolution- Introduction, diffraction and image Astronomical telescope, microscope, diffraction grating, Improving resolution, Michelson stellar interferometer.


Block-4    Lasers and their applications

Unit-12    Coherence – Introduction, temporal coherence, spatial coherence, visibility of frienges.

Unit-13    Physics of Lasers – Introduction, light emission and absorption, Quantum Theory, Einstein’s prediction, prerequisites for a laser, Types of lasers, applications of lasers.

Unit-14    Holography – Introduction, production of hologram, reconstruction of image, application of holography.

Unit-15    Fibre Optics – Introduction, optical fibre, Types of fibres, optical communication through fibres, Pulse, dispersion, step- index fibre, GRIH Fibre, material dispersion, power loss.

Modern Physics

Block-1    Special Theory of Relativity

Unit-1      Emergence of special relativity – Introduction, Classical relativity, Galilean Transformation Galilean principle of relativity, Electromagnetism and classical relativity, Galilean relativity and the speed of light, Michelson – morley experiments. The special theory of relativity, principle of relativity and constancy of speed of light.

Unit-2      Relativistic Kinematics – Introduction Lorentz Transformation, implications of special relativity, length contraction, Time dilation relativistic transformation of velocity; relativistic Doppler effect.

Unit-3      Relativistic Dynamics- Introduction, Dynamics of single particle, linear momentum, relativistic energy, equivalence of mass and energy, momentum of a free particle.

Block-2    An Introduction to Quantum Mechanics

Unit-4      Wave-particle Duality- Introduction, birth of quantum physics, the de Broglie hypothesis, wave – particle duality, Experimental Evidence for the existence of matter waves.

Unit-5      Matter waves and uncertainty principle - Introduction, matter waves, uncertainty principle, its application.

Unit-6      Schrodinger Equation -  Introduction, one diamentional Schrodinger equation, Statistical Interpretations of wave function; probability of wave functions, Time dependent Schrodinger equation Boundary conditions and acceptable solutions.

Unit-7      Observables and operators – Introduction, quantum mechanical operators, properties of operators, expectation values, Engen functions and Eigen values, Ehrenfest theorem.

Block-3    Application of Quantum Mechanics to some systems

Unit-8      Some Simple System – Introduction, free, particle in a box, one dimensional rectangular potential Barrier, one dimensional potential well, one dimensional Harmonic oscillator.

Unit-9      Spherically Symmetric Systems : Hydrogen Atom – Introduction, three dimensional Schrodinger equation for a central potential, Eigen function and eigen values of the angular momentum operator, space Quantization, radial eigenfunctions, The hydrogen Atom spectra of the hydrogen atom quantum, numbers and constants of motion.

Unit-10    Atomic spectra- Introduction, stern, Gerlach Experimental, Spin Angular momentum, total angular momentum, spectral terms, optical spectra of a hydrogen like, Atoms and selection rules, multi electron Atoms, life time of excited states and line Broadening.

Unit-11    X-ray spectra- Introduction, X-ray spectra and selection Rules, Moseley’s law, application of X-rays.

Block-4 Nuclear Physics

Unit-12    Radioactivity - Introduction, Radioactive decay Growth and decay of Radioactivity, successive radioactivity transformations radioactive equilibrium.

Unit-13    The Atomic Nucleus – Introduction, The alpha-particle experiment, binding energy of nuclei, Nuclear Fission, Liquid Drop model of Fission, Critical Energy for Fission – Spontaneous Fission, Nuclear models, shell model, Collective model.

Unit-14    Applied Nuclear Science – Introduction, self sustained chain reaction, Nuclear radiations in environment, Radioisotopes in every life.

Unit-15    Elementary Particles- Introduction, positron, the first antiparticle machines of Nuclear physics, particle accelerations particle detectors, Inventory of particles, conserved quantities.

Mathematical Methods in Physics II

Block-1    Ordinary Differential equations

Unit-1      First order ordinary differential equations – Introduction, Classification of ordinary differential equations, Solutions of differential equations,  equations reducible to separable from, method of separation of variable, Homogeneous differential equations  of the first order, Exact equations, first order linear differential equations, equations reducible to first order.

Unit-2      Second order ordinary differential equations with constant coefficients – Introduction, Homogeneous and non-homogeneous linear equations with constant coefficients, methods of undetir mined multiplier, and method of variation of parameters.

Unit-3      Second order ordinary differential equations with variables coefficients – Introduction, terminology, power series method, forbenius method.

Unit-4      Some applications of ODE’s physics – Introduction, Mathematical modeling, first order ODE’s in physics, second order ODE’s in physics. Coupled differential equations, Coupled oscillators, Coupled electrical circuits, Charged particle motion in electric and magnetic fields.

Block-2    Parital differential Equations

Unit-5      Introduction to partial differential equations -  Introduction, limits and continuity, partial differentiation, differentiability, partial differential equations.

Unit-6      Partial differential equations in Physics- Introduction, method separation of variables, solving initial and boundary value problem in physics.

Unit-7      Fourier Series – Introduction, Finding the coefficient, uses, even and odd functions, Fourier sine and Cosine series, Half-range expansions, convergence of Fourier series.

Unit-8      Applications of Fourier Series to PDEs – Introduction, diffusion equation, Heat conduction diffusion of particles, wave, equations, vibrating string, Torsional vibrations, Laplace’s Equation, Steady state Heat flow, Potential at a point due to a circular Disc. 

Quantum Mechanics: Approximation Methods & Perturbation Theory

  • The Failure of Classical Physics

  •  Schrodinger Equation and Principles of Quantum Mechanics

  • Simple Applications of Quantum Mechanics

  • The Linear Harmonic Oscillator

  • Central Potential Problems

  • Diracs Ket and Bra Notation

  • Quantum Dynamics

  • Orbital Angular Momentum and Spin

  • Angular Momentum: General

  • Addition of Angular Momenta

  • Invariance, Symmetry and Conservation Laws

  • Approximation Methods

  •  Interaction of Radiation with Matter-Semi-Classical Treatment

  • Quantum Theory of Scattering

  • Systems of Indentical Particles

  • Relativistic Quantum Mechanics

  • Second Quantization 


Book: Quantum Mechanics, Chaddha, G. S., New Age International, 1sr edition, 2013, ISBN : 978-81-224-1465-3



Paper No.

Course Code

Title of the Course


Compulsory Elective

Compulsory Core Course


1st year




Atom And Molecules

3            8




Inorganic Chemistry



Practical Based on Inorganic Chemistry


2nd year



Physical Chemistry

3            8




Organic Chemistry


UGCHE- (L)-3

Practical Based on Organic Chemistry

3rd year




3            8




Organic Reaction Mechanism


UGCHE- (L)-4

Practical Based on Physical Chemistry

Discipline-Centric Elective Course (Select any two Papers)











Mathematical Methods




Statistical Methods




Bioanalytical Techniques




Nutritional Biochemistry


Compulsory Foundation Cours  


1st year



Foundation Course in Open and Distance Learning



2nd year



Foundation Course in Enviroment Awarness



3rd year



Foundation Course in Information Technology



Elective foundation Course


1st year



Foundation Course in Humanities and Social Science





2nd year





Foundation Course in English
Foundation course in Hindi



3rd year



Foundation course in disaster management
Human Environment
Nutrition for the Community
Solid waste Management 


Skill Based Programs (select  either in 2nd year or in 3rd  year )

Either in 2nd year
 in 3rd  year




Microsoft Office and Internet
Medicinal Plants: Introduction & Significant
Diet Therapy
Public Health & Hygiene





Atoms and Molecules

Block -01

Structure of Matter-I

Unit-01-  Old Quantum Theory- Discovery of sub Atomic Particles, Earlier, Earlier Atom Models, Light as Electromagnetic Wave, Failures of Classical Physics, Plank Quantum Theory,  Block Body Radiation, Heat Capacity Variation Einstein’s Theory of Photoelectric Elect, Bohr Atom Model, Radius of Bohr’s Theory, Critical Analysis of Bohr’s Theory Refinements in the Atomic Spectra Spectra Theory.

Unit-02- Wave Mechanics- Nature of Radiation and Matter, Heisenberg Uncertainty Principle the Schrodinger Equation and its Application Hydrogen and Hydrogen- like Atom, Electron Configuration of Multi Electron Atoms.

Unit-03- Electronic Theory of Valence- Basic Theory- Electrovalent or lonic Bond, Covalent Bond- Bond Polarity, VSEPR Theory

Unit-04- Valence Bond Theory- Origin of Valence, Bond and Molecular Orbital Theories, principles of Valence Bond Theory, Valence Bond theory of Hydrogen Molecules, Resonance or Electron Delocalization, Valence Bond Description of Some more Molecules, Hybridization of Orbital, Valence Bond Description of Benzene.

Unit-05- Molecular Orbital Theory- LACO Theory, Homonuclear. Diatomic Molecules, Heteronuclear Diatomic Molecules, Comparison of Valence Bond and Molecular Orbital Theories.


Structure of Matter-II

Molecular Properties- Polar and Non Polar Molecular, Dielictric Constant, Dipole Moment, Magnetic Properties of matter ; Molecular Spectroscopy-I; Molecular Spectroscopy-II; Nuclear Chemistry

Inorganic Chemistry-I

Block-I            Periodicity and S-Block Elements

Periodic Table; Periodicity ; Hydrogen; Alkali Metals; Alkali Earth Metals 


p- Block Elements –I

Elements of Group- 13; Elements of Group- 14; Elements of Group- 15. 

Block-III         p- Block Elements –II

Elements of Group- 16; Elements of Group- 17; Elements of Group- 18 

Block-III         d and f -Block Elements

Transition Elements; Inner Transition Elements; Coordination Group; Isolation and participation of Metals

Physical Chemistry

Block-I            Chemical Equilbria and Electro Chemistry

Chemical Equilibria; Ionic Equilibria; Electrolytic Conductance of Solutions; Electro Chemical Cells

Block-II          Dynamics and Macro Molecules

Chemical Kinetics; Photo Chemistry; Colloids and Macro Molecules; Surface Chemistry and Catalysis

Block-IV         Chemical Equilibria and Electro Chemistry

Chemical Equilibria; Ionic Equilibria; Electrolytic Conductance of Solutions; Electro Chemical Cells 

Block-V          Dynamics and Macro Molecules

Chemical Kinetics; Photo Chemistry; Colloids and Macro Molecules; Surface Chemistry and Catalysis

Organic Chemistry