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 BioStatisctics 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 socioeconomic, 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 BioStatisctics 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 socioeconomic, 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 wellargued 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, studentoriented 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 matteroffact 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

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

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

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

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

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

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. BioChemistry [PGBCH]

Under Graduate Programme

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

Post Graduate Diploma Programme

Post Graduate Diploma Programme in Environment and Sustainable Development (PGDESD)
Post Graduate Diploma in BioStatisctics and Demography [PGDBSD]
Post Graduate Diploma in BioStatisctics 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 BioChemistry in which Biochemistry 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, BioChemistry
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 BioChemistry 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 (PGDESD)
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 cooperation 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 BioStatistics 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 BioStatisctics 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 socioeconomic, 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
 Applied Statistics and Computer
 Forensic Science
 Computer Animation
 Web Designing and Development
 Waste Water Treatment
 Natural Resources and Sustainable Development
 Environmental Studies
 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 wellknowledgeable to practically solve daytoday 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
OR
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
OR
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.

CONTENTS



Page No

1

M.Sc. Biochemistry [PGBCH]


2

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


3

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


4

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


5

Post Graduate Diploma Programme in Environment and Sustainable Development (PGDESD)


6

Post Graduate Diploma in BioStatisctics and Demography [PGDBSD]


7

Post Graduate Diploma in BioStatisctics and Population Studies [PGDBSPS]


8

Diploma in Applied Statistics and Computer [DASC]


9

Certificate in Applied Statistics and Computer [CASC]


10

Certificate in Forensic Science [CFS]


11

Certificate Course in Computer Animation [CCCA]


12

Certificate Course in Web Designing and Development [CCWDD]


13

Certificate course in Waste Water Treatment [CWWT]


14

Certificate course in Natural Resources and Sustainable Development [CNSD]


15

Certificate course in Environmental Studies [CES]


16

Certificate Programme in Laboratory Technique [CPLT]



Compulsory Foundation Course


17

Gandhian Thoughts and Peace Studies [PGFGS]


18

Human Rights and Duties [PGFHR]


19`

Foundation Course in Open and Distance Learning [UGFODL]


20

Foundation Course in Environment Awareness [CHEQ/EA]


21

Foundation Course in Information Technology [UGFIT]



Elective Foundation Course


22

Foundation Course in Humanities and Social Science [UGFHS]


23

Foundation Course in English [UGFEG]


24

Foundation Course in Hindi [UGFHD]


25

Foundation Course in Disaster Management [DM]


26

Human Environment [AOCHE]


27

Solid waste Management [SWM]


28

Nutrition for the Community [AOCNC]



Skill Based Programs


29

Microsoft Office and Internet [UGSSC01]


30

Introduction to Yoga and its Stream [UGSSC02]


31

Medicinal Plants: Introduction & Significance [UGSSC03]


32

Diet Therapy [UGSSC04]


33

Public Health & Hygiene [UGSSC05]


34

Programming and Problem Solving Using C [UGSSC06]


35

Fundamentals of Computer and IT [UGSSC07]


36

Computer Network and Security Maintenance [UGSSC08]


37

Agriculture & Environment [UGSSC09]


38

Energy & Environment [UGSSC10]


39

Environment & Development [UGSSC11]






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

Year

Paper No.

Course Code

Title of the Course

Credits

Compulsory Elective

Compulsory Core Course

Ist Year

6001
6002

PGBCH01
PGBCH02

Cell Biology & Bimolecules
Analytical Biochemistry

4
4

Compulsory

6003
6004

PGBCH03
PGBCH04

Nutrition and Physiology
Bioenergetics and Metabolism

4
4

Compulsory

6005

PGBCH05 (P)

Practical based on PGBCH01, 02,03 and 04

8

Compulsory

DisciplineCentric Elective Course (Select any two with 0404=8 Credits)

6006
or
6007

PGBCH06
or
PGBCH07

Advance Immunology
or
Research Methodology

8
or
8

Elective

Open Elective Course (Other Disciplines)

6008
or
6009

PGBCH08
or
PGBCH09

BioStatistics
or
BioInformatics

8
or
8

Elective


First Year Total credit 40


Compulsory Core Course

IInd Year

6010
6011

PGBCH10
PGBCH11

Microbiology and Immunology
Enzymology and Enzyme Technology

4
4

Compulsory

6012
6013

PGBCH12
PGBCH13

Basic Biotechnology
Industrial Biochemistry

4
4

Compulsory

6014

PGBCH14(P)

Practical based on PGBCH10, 11, 12 and 13

8

Compulsory

Discipline Centric Course


6015

PGBCH17

Clinical Biochemistry

8

Compulsory

Open Elective Course (Other Discipline)


6016
or
6017
or
6018

PGBCH16
or
PGBCH18

Cognitive Science and Human Behavior
or
NeuroScience

8
or
8
or
8

Elective

Compulsory Foundation Course

2702
or
2703

PGFGS
or
PGFHR

Gadhian Thoughts and Peace Studies
or
Human Rights and Duties

Noncredit

Compulsory

Second Year Total credit

40

Total credit of Programme

80


MASTER IN BIOCHEMISTRY (M.Sc.PGBCH)

PGBCH01
(Cell Biology and Biomolecules)

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.

PGBCH02
(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 SDSPAGE, Agarose gel electrophoresis for DNA, Isoelectric focusing
Microscopy basic principles, light and election microscopy

PGBCH03(N)/ PGBCH04(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.

PGBCH04(N)/ PGBCH05(O)
(Bioenergetics and Metabolism)

Bioenergetics  General concepts. Biological oxidationreduction reactions, redox potentials. High energy phosphate compoundsATP, Phosphate group transfer.
Coenzymes and Cofactors  Types and function of NAD^{+},FAD, Pyridoxal phosphate and B_{12} 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.

PGBCH05(P) (N) / PGBCH03(P) (O)
(Practical)
Based on PGBCH01,02,03,04

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

PGBCH06 (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 (Immunoglobulins)
 Antigens Antibody interactions
 Organization and expression of immunoglobulin genes.
Part III
 Bcells maturation, activation and differentiation
 Tcell maturation, activation and differentiation
 Tcells and Bcells 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

PGBCH07(N)
(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 Covariance.
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, Email.
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 packageFeatures 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.

PGBCH08 (N)
(BioStatistics)

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 Nonsampling Errors, Advantages of Sampling, Random and Nonrandom Sampling, Simple Random Sampling, Systematic Random Sampling, Complex Sampling Schemes, Nonprobability 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, OneSample Ttest, 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 Pvalues* , Some Common Misuses of Tests, A Note on Transformations
8. Analysis of Variance and Multisample Comparison
Introduction, Why it is Not Appropriate to use Multiple Ttests?, Oneway Analysis of Variance, Multiple Comparison Procedures, Assumptions, Relationship between OneWay Anova and Two Sample Ttest, Relationship between OneWay Anova and Multiple Regression, TwoWay Anova, Analysis of Covariance, RepeatedMeasures Anova, Fixed and Random Effects
9. Hypothesis Testing – Categorical Data
Introduction, ChiSquare Test for Association, Types of ChiSquare Tests, Test for Independence, Test for Homogeneity, Comparison of ChiSquare Test with Normal Test, Fisher’s Exact Test for 2x2 Tables, Comparison of Two Correlated Proportions—Matched Pair, ChiSquare Test for Trend
10. Nonparametric Methods
Parametric and Nonparametric Methods, Rational for Using Nonparametric Methods, Advantages and Disadvantages, Wilcoxon Signed Rank Test, Wilcoxon RankSum 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, Nonlinearity, 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 (Proportionalhazards) 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, CaseControl Studies, CrossOver 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

PGBCH09(N)
(BioInformatics)

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)
EMSD: Introduction, Resources of EMSD, Data Submission at EMSD, Search Systems of EMSD, 3DGenomics, 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: BioAlgorithms 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 Swissmodel, 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 Biosoftware: Introduction, GCG Wisconsin Package, Insight II, Discovery Studio2.0

PCBCH 10(N)/ PGBCH07(O)
(Microbiology and Immunology)

Prokaryotic and Eukaryotic cells, Modern approaches to bacterial taxonomy, Methods in microbiology, Microbial growth, Metabolic diversity among micro organisms, Hostparasite 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.

PCBCH11(N)/ PGBCH08(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, Multienzymes with principales and applications of the involved techniques, Enzyme immobilization methods, Applications, advantages and disadvantages.

PCBCH 12 (N)/ PGBCH10(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,
Biotransformations, Immunochemical Applications, Microbial Polysaccharides and single cell oils, Upstream and downstream processing. Microbial Biotechnology, Principles and Applications of Bio techniques, Food Biotechnology

PCBCH13(N)/ PGBCH10(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, WastonCrick 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.

PGBCH14 (Practical)

Based on papers PGBCH10,11,12 and 13

PGBCH16 (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

PGBCH17(N)
(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
Processing:
 Enzymes
 Labour errors of metabolism
 Transport and Storage
 Plasma Proteins
 Lipids and Lipoproteins
 Acid base balance and blood gases
Defence:
 Immunoglobins
 Protein of the innate immune system
Output:
 Kidney function
 Liver function

PGBCH18(N)
(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
 Bloodbrain 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
Language
Section P – Brain Disorders
Schizophrenia
Depression
Strokes and excitotoxicity
Epilepsy
Parkinson’s disease
Alzheimer’s disease

Books Recommended:
1. PGBCH01, 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. PGBCH05(P) and 14(P),
An Introduction to Practical Biochemistry: DT Plummer, Tata McGrawHill Publishing Co.Ltd. New Delhi.
3. PGBCH06
Immunology, C Vaman Rao, Narosa Pub.
4. PGBCH07
Research Methodology, Ranjit Kumar, Pearson Pub.
Research Method, G Rugg and M. Petre
5. PGBCH08
Elements of Biostatistics, S Prasad, Rastogi Pub.
Biostatistics Principles and Practice, B. Antonisamy, Tata McGrawHill Publishing Co.Ltd.
6. PGBCH09
Bioinformatics Principles and Application, Z Ghosh and Mallik, OUP
7. PGBCH10
A Text book of Microbiology: R C Dubey and D K Maheswari, S Chand & Company
8. PGBCH12
Biotech Expanding Horizons: B D Singh, Kalyani Pub.
9. PGBCH16 (Cognitive Science and Human Behavior)
An Introduction to Applied Cognitive Psychology: A Esgate and David Groom, TMH
10. PGBCH17
Clinical Biochemistry: R. Luxton, 1999, ButterworthHenimann, Oxford
11. PGBCH18
BIOS Istant Notes NeuroScience, Alan Longstaff, Taylor and Francis

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

Paper No.

Course Code

Title of the Course

Credits

Compulsory Elective

Compulsory Core Course

1st Year

5176
5177

PGSTAT01
PGSTAT02

Probability and Distribution
Statistical Inference

4
4

Compulsory

5178
5179

PGSTAT03
PGSTAT04

Linear Models and Design of
Experiments
Survey Sampling

4
4

Compulsory

5180
5181

PGSTAT05
PGSTAT06 (P)

Stochastic Process
Practical Based on PGSTAT 01, 02, 03, & 04

4
4

Compulsory

DisciplineCentric Elective Course ¼Select any two with 04+04=8 Credits½

5182
or
5183
or
5184
or
5185

PGSTAT07
or
PGSTAT08
or
PGSTAT09
or
PGSTAT10

Mathematical Analysis
or
Measures Theory
or
Survival Analysis
or
Reliability Theory

4
or
4
or
4
or
4

Elective

Open Elective Course (Other Disciplines

5186
or
5187

PGSTAT11
or
PGSTAT12

Operation Research
or
Linear Algebra

8
or
8

Elective


Firs year total credit 40


Compulsory Core Course

2nd Year

5188
5189

PGSTAT13
PGSTAT14

Decision Theory
Multivariate Analysis

4
or
4

Compulsory

5190
5191

PGSTAT15
PGSTAT16

NonParametric
Econometrics

4
or
4

Compulsory

5192
5193

PGSTAT17
PGSTAT18 (P)

Demography
Practical Based on PGSTAT14, 15, 16 and 17

4
or
4

Compulsory

Discipline Centric Course


5194

PGSTAT22

Official Statistics

8

Compulsory

Open Elective Course (Other Discipline


5195
or
5196

PGSTAT20
or
PGSTAT21

Research Methodology in Social Behavior Sciences
or
Statistical Software

8
or
8

Elective

Compulsory Foundation Course

2702
or
2703

PGFGS
or
PGFHR

Gadhian Thoughts and Peace Studies
or
Human Rights and Duties

Noncredit

Compulsory

Second year total credit 40

Total programme credit 80


M.Sc. (Statistics) / M.A. (Statistics)
PGSTAT01 / MASTAT01 (Old)
PGSTAT07 / MASTAT07 (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.

PGSTAT02 / MASTAT02 (Old)
PGSTAT01 / MASTAT01 (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
CRinequality, CauchySchwartz inequality, Holder inequality, Minkowski inequality, Jensen inequality, Lyapunov inequality, Kolmogorov inequality, HajckRenyki 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
BorelCantelli lemmas and zeroone law, Characteristic function, Inversion theorem, Continuity theorem, One dimensional central limit problem: lindeberglevy, Lyapunov, LindebergFeller theorems.

PGSTAT03 / MASTAT03 (Old)
PGSTAT02 / MASTAT02 (New)
Statistical Inference

Block 1  Estimation Theory
Unit 1: Sufficiency, Completeness and Exponential Family
Estimation: Sufficiency, Completeness, RaoBlackwell theorem, Lehman Schaffer theorem, CramerRao 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.

PGSTAT04 / MASTAT04 (Old)
PGSTAT03 / MASTAT03 (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 : Twoway classification with equal number of observation per cell and Tukey’s test general twoway classification, Analyses of covariance,
Block 2  Design of Experiment
Unit 3: Factorial Experiments
2^{n }, 3^{2} and 3^{3} 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.

PGSTAT05 / MASTAT05 (Old)
PGSTAT04 / MASTAT04 (New)
Survey Sampling

Block 1  Random Sampling Procedures
Unit 1: Stratified Sampling and Use of Auxiliary Information
Sampling Theory: stratified sampling, Poststratification and deep stratification, Methods of allocation, ratio and regression estimators, double sampling in ratio and regression estimation.
Unit 2: Cluster and MultiStage Sampling
Cluster sampling with equal clusters two stage and multistage 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
HorvitzThompson estimator, Midzuno and Narain system of sampling.

PGSTAT08 / MASTAT08 (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 nstep transition probabilities, ChapmanKolmogorov 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 nth generation, fundamental theorem of probability of extinction.

PGSTAT07(P) / MASTAT07(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)

PGSTAT08 / MASTAT – 08 (New)
Measures Theory

Block – 1: Measure Theory
Unit  1 : Measure
Field, Field, Borel field. Measure, Meassure on R^{n}, Properties of measure, Outer Measure, Extension of measures, Extension Theorem, Outer Extension. Simple functions, Integration, Nonnegative 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 RadonNikodym theorem, Derives of Signed Measures. Product Space, Cartesian products of two measurable spaces, Section, Product measures,
Unit – 4:
Fubini’s theorem, LebesgueStielitjes measure, Lebesguestieltjes integral, Riemannstieltjes integration.
Block – 2: Real Analysis
Unit – 1:
Recap of elements of set theory; Introduction to real numbers, Introduction to ndimensional 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.

PGSTAT09 / MASTAT – 09 (New)
Survival Analysis

Concepts of time, Order and random Censoring, likelihood in these cases. Life distributionsExponential Gamma, Weibull, Lognormal, Pareto, Linear Failure rate. Parametric inference (Point estimation, Confidence Intervals, Scores, LR, MLE tests (RaoWillksWald)) 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 nonparametric classes Total time on test, Deshpande test. Two sample problemGehan test, Log rank test. MantelHaenszel test, Tarone – Ware tests.
Semiparametric 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 nonparametric inference for this model. Multiple decrement life table.

PGSTAT10 / MASTAT – 10 (New)
Reliability Theory

Block I: System Reliability
UnitI: Reliability Concepts and Measures
Components and Systems; Series, Parallel, KOutOfN Systems; Coherent Systems; Reliability of Coherent Systems; Cuts and Paths; Modular Decomposition; Bounds on System Reliability; Structural and Reliability Importance of Components.
UnitII: 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
UnitI: 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
UnitII: Maintenance and Replacement Policies
Repairable Systems; Availability of Repairable Systems; Modelling of A Repairable System by a NonHomogeneous Poisson Process. Reliability Growth Models; StressStrength Reliability and its Estimation; Basic Ideas of Accelerated Life Testing.

PGSTAT11 / MASTAT – 11 (New)
Operation Research

Block – 1: Linear & NonLinear 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 NonLinear 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 Zerosum games by Dominance Principles.
Unit  2 Sequencing and Scheduling Models, 2 Machin, nJob Problem (no passing), 3 machine, njob problems, different routing 2 jobs & m stations, travelling salesman 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 E_{k}/M/1, M/E_{k}/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.

PGSTAT12 / 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, GramSchmidt 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, MoorePenrose 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 matrixA 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,

PGSTAT09 / MASTAT09 (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.

PGSTAT10 / MASTAT10 (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 T^{2}
Wishart distribution. Its characteristic function, additive property of Wishart distribution, Hoteling’s T^{2} and its applications
Unit 4: Mahalnobis D^{2} and Discriminant Analysis
Mahalanobis D^{2} and its various applications, Discriminant analysis.

PGSTAT11 / MASTAT11 (Old)
PGSTAT—15 / MASTAT 15 (New)
Nonparametrics

Block 1 Order Statistics
Unit 1: Basic Distribution Theory
Order statistics, Distribution of maximum, minimum and rth order statistic, Joint distribution of rth and sth 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 Ustatistic to rank tests. One sample and two sample KolmagorovSmirnov tests. Run tests. Pitman ARE.

PGSTAT12 / MASTAT12 (Old)
PGSTAT—16 / MASTAT 16 (New)
Econometrics

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, R^{2} and adjusted R^{2}, point and interval predictors
Unit 2: Model with qualitative independent variables and nonspherical disturbances
Use of dummy variables, model with nonspherical 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.

PGSTAT13 / MASTAT13 (Old)
PGSTAT17 / MASTAT17 (New)
Demography

Block 1. Migration
UnitI : Introduction, Estimation of life time and intercensal 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 migrationusing vital statistics, life time survival ratio method and census survival methods, estimation of international migration.
Block2. Stable Population Theory
Unit1 :Introduction, basic concepts of stable, quasistable, stationary and non stable populations, vital rates and characteristics of stationary stable population and quasistable population.
Unit2 : 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.
Unit3 : 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.
Block3.Fertility & Fertility Models.
Unit1 : Introduction, crude birth rate (CBR), gross fertility rate (GFR,) age specific fertility rate) ASFR), total fertility rate (TFR), gross reproduction rate (GRR)
Unit2 : Period and cohort measures, use of birth order statistics, child women ratio, ownchildren method, children ever born(CEB) data and with data on current fertility, Brass P/F ration for adjusting fertility rates.
Unit3 : 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.
Block4.: Mortality
Unit1 : Introduction, crude death rate (CDR), specific death rates (SDR), standardized death
rate (STDR).
Unit2 : Life table, abridge life table, model life table of UNO (old and new), coale and demny
model, brass model through logit transformation.

PGSTAT14(P) / MASTAT14(P) (Old)
PGSTAT18(P) / MASTAT – 18 (P) (New)

Practical Based on PGSTAT / MASTAT10 , 11, 12 & 13 (Old).
Practical Based on PGSTAT / MASTAT14 , 15, 16 & 17 (New).

PGSTAT20 / MASTAT – 20

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 NonParametric Tests, Analysis of Variance and Analysis of Covariance, ChiSquare Test, Multivariate Analysis Techniques, Factor Analysis.
Meaning of Interpretation, Significance of Report Writting, Report Writting..

PGSTAT21 / MASTAT – 21
Statistical Softwares

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

PGSTAT22/MASTAT22
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 sixsigma and the DefineMeasureAnalyseImproveControl 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. Twostage and Multistage sampling. Nonsampling 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 designsCRD, RBD, LSD and their analyses, Orthogonality of classification in twoway layouts, advantages of orthogonality relation, simple illustrations. Analysis of covariance, missing plot technique.
Unit – 3: Factorial Experiments
2^{n}, 3^{2 }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

Semester

Paper No.

Course Code

Title of Course

Credits

Compulsory/ Elective

First Semester

Compulsory Core Course

6026

MScCS01

Discrete Mathematical Structure

3

Compulsory

6027

MScCS02

Introduction to Programming Language Through C

3

6028

MScCS03

Digital Computer Fundamentals and Assembly Language Programming

3

6029

MScCS04

Lab1 ( Based on MScCS02)

3

DisciplineCentric Elective Course

6030
OR
6031

MScCS05 OR
MScCS06

Theory of Computation
OR
System Analysis & Design

4
OR
4

Elective

Credits of First Semester 16

Second Semester

Compulsory Core Course

6032

MScCS07

Software Engineering

3

Compulsory

6033

MScCS08

Object Oriented Programming through C++

3

6034

MScCS09

Computer Networks

3

6035

MScCS10

Lab2 (Based on MScCS08)

3

DisciplineCentric Elective Course

6036
OR
6037

MScCS11
OR
MScCS12

System Software
OR
Object Oriented Analysis and Design

4
OR
4

Elective

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

6038
OR
6039
OR
6040

MScCS13
OR
MScCS14
OR
MScCS15

Numerical & Statistical Computing
OR
Accountancy & Financial Management
OR
Probability & Distribution

4
OR
4
OR
4

Elective

Credits of Second Semester 24

Third Semester

Compulsory Core Course

6041

MScCS16

Database Management System

3

Compulsory

6042

MScCS17

Operating System

3

6043

MScCS18

Core Java

3

6044

MScCS19

Lab3 (Based on MScCS18)

3

DisciplineCentric Elective Course

6045
OR
6046

MScCS20
OR
MScCS21

Computer Graphics
OR
Design and Analysis of Algorithms

4
OR
4

Elective

Compulsory Foundation Course


2702
OR
2703

PGFGS
OR
PGFHR

Gandhian studies and Peace Education
OR
Human Right and Duties

Non Credit

Compulsory

Credits of Third Semester 16

Fourth Semester

Compulsory Core Course

6047

MScCS22 (L)

Practical Lab Based on MSc.CS29

4

Compulsory

6053

MScCS28

Principal of Programming Language

4

6054

MScCS29

Web Technology

4

DisciplineCentric Elective Course

6048
OR
6049

MScCS23 OR
MScCS24

Artificial Intelligence
OR
Parallel Computing

4
OR
4

Elective

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

6050
OR
6051
OR
6052

MScCS25
OR
MScCS26
OR
MScCS27

Correlation, Regression & Statistical Inference
OR
Mathematical Analysis
OR
Operation Research

4
OR
4
OR
4

Elective

Credits of Fourth Semester 24

Total Credits 80


MScCS01 (Discrete Mathematics)

Mathematical Logic Connectives: Statements, connectives (Negation Conjunction, Disjunction), Conditional and Biconditional, Equivalence of formulae and wellformed formulae, Tautologies, Duality law, Functionally complete sets of Connectives.
Some More Connectives: Exclusive OR, NAND, NOR, Two state devices, Gate and Module, Twolevel 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, Subgraphs, 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, Prim’s 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, IV Fuzzy sets, Fuzzy relations.
Lattices and Boolean Algebra:
Posets and Lattices: Posets, Lattices as posets, lattices as Algebraic Systems, Sublattices, Complete Lattices, Bounds of Lattices, Modular and Distributive Lattices, Complemented Lattices, chains.
Boolean Algebra: Definition and important properties, sub Boolean Algebra, Atoms, Antiatoms 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, QuineMcCluskey 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.

MScCS02 (Introduction Programming Language through C)

Introduction
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 structuresI: The do–while and while Loops, the Comma Operator, the transfer of Central from within loops, Ternary operator, The Switchcase default statement.
Programming in C
Control Structures II: The for loop, onedimensional 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 BitFields: Files and File 70, Structs, the DOT Operator, Extructs and files: fseek, Structs and Function and unions, The Bitwise operators.

MScCS03 (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.
Microprogrammed 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 (PartI): 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

MScCS05(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.
NonDeterministic Finite Automata: Equivalence of NFA and DFA, Pumping Lemma, Closure properties (Regular Languages and Finite Automata), Equivalence of Regular expression and Finite Automata.
NonDeterministic Finite Automata: Context Free Grammar: Grammar and its classification, Chomsky, Classification for Grammar, Context free grammar, pushdown Automata (PDA), NonContext 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 –cumEquivalents 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 uRecursion.
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, NPComplete and NPHard Problems, Establishing NPCompleteness of problems.
Computability/Decidability: Applications of Finite Automata, Applications of Regular Expressions, Application of Context free grammars (Definition of Ctype small language, Definition of Part of HTML), ACM Code of Ethics and Professional Conduct.

MScCS06 (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.

MScCS07 (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, Reapplication 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.

MScCS08(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: ObjectiveC, 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.
InheritanceExtending 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.

MScCS09(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 DevicesI: 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.

MScCS11 (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 timefirst scheduling, scan scheduling, File Protection, Passwords, Access Lists, Access Groups.
UNIX Operating SystemI
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.
UNIXGETTNG 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, Offline 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.

MScCS12 (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, Oneway Associations, Twoway 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, OnetoOne Associations, Associations with Multiplicity ’Many’, Bidirectional Implementations, OnetoOne and Optional Associations, Oneto 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 Interprocessor 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, Searchbased 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.

MScCS13 (Numerical and Statistical Computing)

BLOCK1 Numerical ComputingI
Unit 1 Floating Point Arithmetic and Errors, Floating Point Representation, Sources of Errors, Propagated Errors.
Unit 2 Solution of NonLinear Equations, Bisection Method, RegulaFalsi Method, Secant Method, NewtonRaphson Method, Successive Iteration Method.
Unit 3 Solution of Linear Algebraic Equations, Direct Method, Gauss Elimination Method (without and with Pivoting), LUDecomposition Method, Iterative Method, Jacobi Method , Gauss Seidel Method, Successive Over Relaxation Method.
BLOCK2 Numerical ComputingII
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.
BLOCK3 Statistical Computing
Unit 1 Probability Distribution: Discrete Distribution, Binomial Distribution, Poisson Distribution, Continuous Distribution, Uniform Distribution, Exponential Distribution, Normal Distribution, Chisquare 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, GoodnessofFit, Residual Analysis, NonLinear Regression.

MScCS14 (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 semivariable 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.

MSCCS15(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: CauchySchwartz 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.

MScCS16(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 (ER) 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, Indexsequential file organization (Types of Indexes, Structure of IndexSequentialFiles,VSAM,ImplementationofIndexingthroughTreeStructure), 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.
RDBMS and DBMS
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, TradeOFFS 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.

MScCS17(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.

MScCS18(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, Builtin Exceptions, throwing Exceptions, Catching Exceptions, user defined exceptions.
Packages and Interfaces: Creating Packages, Adding classes to existing Package, interfaces, creating Interfaces, Exceptions.

MScCS20(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, BSpline Curves, Parametric Surface, Surface of revolution,Sweepsurface,FractalCurvesandsurfaces.IntroductiontoMultimediaTechnology, Audio System, Image Compression, Data Compression, Digital Motion Video, Authoring tools, Multimedia Applications, Multimedia DBMS.

MScCS21 (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
SOMEPREREQUISITES AND ASYMPTOTIC BOUNDS Structure:
Mathematical Functions & Notations, Functions & Notations, Modular Arithmetic/Mod Function, Mathematical Expectation, Principle of Mathematical Induction, Concept of Efficiency of anAlgorithm,WellKnownAsymptoticFunctions&Notations,EnumeratetheFiveWellKnown 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, BestCase and WorstCase Analyses, Various Analyses of Algorithms, WorstCase Analysis, BestCase Analysis, Analysis of NonRecursive Control Structures, Sequencing, For Construct, While and Repeat Constructs, Recursive Constructs, Solving Recurrences, Method of Forward Substitution, Solving Linear SecondOrder Recurrences with Constant Coefficients, AverageCase and Amortized Analyses, AverageCase Analysis 3.8.2 Amortized Analysis
DIVIDEANDCONQUER: Introduction, Objectives, General Issues in DivideandConquer, 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, DepthFirst Search, BreadthFirst Search, Algorithm of Breadth First Search, Modified Algorithm, BestFirst 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.
GREEDY TECHNIQUES
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 ALGORITHMSI: 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 ALGORITHMSII: PDFA & CFG: Formal Language & Grammar, Context Free Grammar (CFG), Pushdown Automata (PDA).
MODELS FOR EXECUTINGALGORITHMSIII: 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, NPComplete and NPHard Problems, Establishing NPCompleteness of Problems.

MScCS23(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.

MScCS24(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 ofProgram, 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, NonUniform Memory Access Model, Cacheonly 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, Multithreaded 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 Interprocessor 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, Searchbased 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

MScCS25 (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, Intraclass correlation, some remarks on Intraclass 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, Onetailed and Twotailed 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 ChiSquare Distribution, Tests of Significance based on t – Distribution, Tests of Significance based on F – Distribution, Tests of Significance based on Fisher’s ZDistribution.
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.
NonParametric Tests: Non Parametric Tests, Sign Test, Wilcoxon SignedRank Test, Mann Whitney UTest, Run Test.

MScCS26 (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, ReuszFischartheorem, 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.

MScCS27(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 infeasible problems, Application of linear programming in Business and Industry, selfAssessment Exercises.
Linear Programming – Simplex Method: Principle of Simplex Method, Computational Aspect of simplex Method, Simplex Method with Several Decision Variables, Two phase and MMethod, 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.
NonLinear Programming: Solution of a Nonlinear 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, Multiperiod 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.

MScCS28 (PRINCIPLES OF PROGRAMMING LANGUAGES)

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 subprograms, exception and exception handlers, Coroutines 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

MScCS29 (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 BarData 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 ActiveX 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 multitier 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.) 
A. PHYSICS

Year

Paper No.

Course Code

Title of the Course

Credits

Compulsory Elective

Compulsory Core Course

1^{st} year

181

UGPHS01

Elementary Mechanics

3
3 8
2

Compulsory

182

UGPHS03

Oscillation and Waves

190

UGPHS(L)1

Practical Based on UGPHS 01 & 03

2^{nd} year

183

UGPHS04

Electric and Magnetic Phenomena

3
3 8
2

Compulsory

184

UGPHS05

Electric Circuits and Electronics

191

UGPHS(L)2

Practical Based on UGPHS 04 & 05

3^{rd} year

185

UGPHS06

Thermodynamics & Statistical Mechanics

3
3 8
2

Compulsory

186

UGPHS07

Optics

192

UGPHS(L)3

Practical Based on UGPHS 06 & 07

DisciplineCentric Elective Course ¼Select any two Papers)


187

UGPHS08

Modern Physics

4

Elective

188

UGPHS09

Mathematical Methods in Physics  I

4

189

UGPHS10

Mathematical Methods in Physics  II

4

2788

UGPHS11

Quantum Mechanics: Approximation Methods & Perturbation Theory

4

Compulsory Foundation Course

1^{st} year

2700

UGFODL

Foundation Course in Open and Distance Learning

Noncredit

Compulsory

2^{nd} year

012

CHEQ/EA

Foundation Course in Environment Awarness

Noncredit

Compulsory

3^{rd} year

003

UGFIT

Foundation Course in Information Technology

Noncredit

Compulsory

Elective foundation Course

1^{st} year

001

UGFHS

Foundation Course in Humanities and Social Science

4

Elective

2^{nd} year

004
or
005

UGFEG
or
UGFHD

Foundation Course in English
or
Foundation course in Hindi

4
or
4

3^{rd} year

2501
or
007
or
009
or
2701

DM
or
AOCHE
Or
AOCNC
Or
SWM

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

4
or
4
or
4
or
4

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

Either in 2^{nd} year
Or
in 3^{rd} year

2651
or
2656
or
2658
or
2660

UGSSC01
or
UGSSC06
or
UGSSC08
or
UGSSC10

Microsoft Office and Internet
or
Programming & problem solving using ‘C’ Language
or
Computer Network & Security Maintenance
or
Energy and Environment

8
or
8
or
8
or
8

Elective


UGPHS01
Elementary Mechanics

Block 1 Concept in Mechanics
Unit1 Motion – Introduction, Language, for describing motion, vectors, Products of vectors, Displacement, Velocity & Acceleration, Uniform Circular motion, Relative motion.
Unit2 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.
Unit3 Work and Energy – Introduction, works dome by constant force & variable force, Energy, Kinetic Energy – workenergy, Theorem, Conservative force and Potential Energy, Principal of Conservation of energy, Elastic and Inelastic collisions, Power
Unit4 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
Unit6 Motion under Central Conservative Forces Central conservative forces, Properties of motion under central conservation forces, Inverse square central conservative forces.
Unit – 7 ManyParticles System – Introduction, Motion of twobody 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 NParticle system.
Unit8 Scattering – Introduction, Scattering crosssections, 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.
Unit9 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.
Unit10 Motion in Non Inertial Frames of References Introduction, Non inertial frame of reference, motion observed from a noninertial 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.

UGPHS03
Oscillation and Waves

Block 1 Oscillations and Waves
Unit1 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.
Unit2 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.
Unit3 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.
Unit4 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.
Unit5 Coupled Oscillations Introduction, Oscillations of two coupled masses, differential equation, coordinates and Normal modes, Modulation of Coupled oscillations, Energy of two couple masses, Normal mode Analysis of other coupled systems two coupled pendulums, inductive coupled LCcircuits, longitudinal oscillations of N – coupled masses : The wave equation.
Block – 2 Waves
Unit6 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.
Unit7 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.
Unit8 Superposition of WavesI – 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.
Unit9 Superposition of WavesII – 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.

UGPHS04
Electric and Magnetic Phenomena 
Block 1 Electrostatics in free space
Unit1 Electric Charge, Force and field – Introduction, Propertied, types, unit conservation, Quantization of charge, coulomb’s law, Principle of superposition, electric lines of force.
Unit2 Gauss’s Law – Introduction, Counting lines of force, electric flux, Gauss’s law, spherical, line, plane symmetry, Charge isolated conductor, differential.
Unit3 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
Unit5 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
Unit6 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.
Unit7 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
Unit8 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 (nonohmic conduct).
Unit9 Magnetic Field Introduction, Def^{n} 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.
Unit10 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.
Unit11 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.
Block4 Electromagnetism
Unit13 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.
Unit14 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.
Unit15 Reflection and Refraction of electromagnetic waves – Introduction, Boundary conditions, reflection and refraction at normal incidence, law of reflection and refraction, Generation of electromagnetic waves

UGPHS05
Electrical Circuit and Electronics

Block 1 Network Analysis and Devices
Unit1 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.
Unit2 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, TZ and lattice Attenuator.
Unit3 Electron Device Introduction, vacuum tubes, thermionic Emission, Vacuum Diode, Triode, Tetrode and Pentode, Semiconductor materials, pn Junction Diodes, Transistor, MOSEFT.
Block2 Electronic Circuits
Unit4 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 RC coupled amplifiers, large signal amplifiers, single ended power amplifiers, pushpull amplifiers. Raio frequency amplifiers, single and double tuned voltage amplifiers.
Unit5 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, RC oscillators, phase shift oscillator, wien bridge oscillator.
Unit6 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.
Block3 Linear Integrated Circuits
Unit7 The operational Amplifier Introduction, Technical detailed of op amps, symbol, Package, Number Code, Power supply, Precautions, characteristics of op Amps, inputoutput 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.
Unit8 Applications of operational Amplifiers Introduction, Inverting amplifiers, noninverting amplifiers, inverting adder, Basic, differentiator, Basic integrator, feedback in op Amp.
Unit9 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.
Block4 Digital Electronics
Unit10 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.
Unit11 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, FlipFlops, RS flop, Flop clocked RS, D, and JK flip flop.
Unit12 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.
Unit13 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.

UGPHS06
Thermodynamics and Statistical Mechanics

Block1 The Zeroth Law & the First Law
Unit1 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.
Unit2 Measurement of Temperature Introduction, principles of measurement of temperature, Gas Thermometer, Resistance Thermometers, Thermocouples radiation, pyrometers, the international practical temperature scale.
Unit3 The first law of Thermodynamics Introduction, heat work, expression for work, path dependence of work and heat, internal energy, First law of Thermodynamics.
Unit4 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.
Block2 The second and The third Law of Thermodynamics
Unit5 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.
Unit6 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.
Unit7 Phase Transitions Introduction, Phase equilibrium, First order phase transitions, Latent Heat equations, Higher order phase transitions, Gibbs phase rule.
Unit8 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.
Block3 Elementary Kinetic Theory
Unit9 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.
Unit10 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.
Unit11 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.
Unit12 Real Gases Introduction, Deviations from Ideal Gas Behaviour Vander Waals equation of state, other equations of state.
Block4 Elements of Statistical Mechanics
Unit13 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.
Unit14 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.
Unit15 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. 
UGPHS07
Optics

Block1 Introduce Light
Unit1 Nature of Light – Introduction, the corpuscular model, the wave model, light as an electromagnetic wave, the pointing, vector, the electromagnetic spectrum.
Unit2 Reflection and Refraction of light Introduction, electromagnetic waves at the interface separating two media, idealization of waves as light rays, Fermat’s principle.
Unit3 Perception of light Introduction, Human vision, colour vision, colour receptors.
Unit4 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.
Block2 Interference
Unit5 Interference by Division of wave front Introduction, wave motion, principle of superposition, Young’s doubleslit Experiment, white light fringes, displacement of fringes, fresnel’s Biprism.
Unit6 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.
Unit7 Interferometry Introduction, Micheloson Interferometer, circular fringes, localized fringes, white light fringes, adjustment of the Michelson interferometer, Fabryperot, Interferometer, Intensity distribution, Superiority over Michelson, Interferometer.
Blcok3 Diffraction
Unit8 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.
Unit9 Fraunhoper diffraction Introduction, diffraction from single slit, diffraction by circular aperture.
Unit10 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.
Unit11 Diffraction and resolution Introduction, diffraction and image Astronomical telescope, microscope, diffraction grating, Improving resolution, Michelson stellar interferometer.
Block4 Lasers and their applications
Unit12 Coherence – Introduction, temporal coherence, spatial coherence, visibility of frienges.
Unit13 Physics of Lasers – Introduction, light emission and absorption, Quantum Theory, Einstein’s prediction, prerequisites for a laser, Types of lasers, applications of lasers.
Unit14 Holography – Introduction, production of hologram, reconstruction of image, application of holography.
Unit15 Fibre Optics – Introduction, optical fibre, Types of fibres, optical communication through fibres, Pulse, dispersion, step index fibre, GRIH Fibre, material dispersion, power loss.

UGPHS08
Modern Physics

Block1 Special Theory of Relativity
Unit1 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.
Unit2 Relativistic Kinematics – Introduction Lorentz Transformation, implications of special relativity, length contraction, Time dilation relativistic transformation of velocity; relativistic Doppler effect.
Unit3 Relativistic Dynamics Introduction, Dynamics of single particle, linear momentum, relativistic energy, equivalence of mass and energy, momentum of a free particle.
Block2 An Introduction to Quantum Mechanics
Unit4 Waveparticle Duality Introduction, birth of quantum physics, the de Broglie hypothesis, wave – particle duality, Experimental Evidence for the existence of matter waves.
Unit5 Matter waves and uncertainty principle  Introduction, matter waves, uncertainty principle, its application.
Unit6 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.
Unit7 Observables and operators – Introduction, quantum mechanical operators, properties of operators, expectation values, Engen functions and Eigen values, Ehrenfest theorem.
Block3 Application of Quantum Mechanics to some systems
Unit8 Some Simple System – Introduction, free, particle in a box, one dimensional rectangular potential Barrier, one dimensional potential well, one dimensional Harmonic oscillator.
Unit9 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.
Unit10 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.
Unit11 Xray spectra Introduction, Xray spectra and selection Rules, Moseley’s law, application of Xrays.
Block4 Nuclear Physics
Unit12 Radioactivity  Introduction, Radioactive decay Growth and decay of Radioactivity, successive radioactivity transformations radioactive equilibrium.
Unit13 The Atomic Nucleus – Introduction, The alphaparticle experiment, binding energy of nuclei, Nuclear Fission, Liquid Drop model of Fission, Critical Energy for Fission – Spontaneous Fission, Nuclear models, shell model, Collective model.
Unit14 Applied Nuclear Science – Introduction, self sustained chain reaction, Nuclear radiations in environment, Radioisotopes in every life.
Unit15 Elementary Particles Introduction, positron, the first antiparticle machines of Nuclear physics, particle accelerations particle detectors, Inventory of particles, conserved quantities.

UGPHS10
Mathematical Methods in Physics II

Block1 Ordinary Differential equations
Unit1 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.
Unit2 Second order ordinary differential equations with constant coefficients – Introduction, Homogeneous and nonhomogeneous linear equations with constant coefficients, methods of undetir mined multiplier, and method of variation of parameters.
Unit3 Second order ordinary differential equations with variables coefficients – Introduction, terminology, power series method, forbenius method.
Unit4 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.
Block2 Parital differential Equations
Unit5 Introduction to partial differential equations  Introduction, limits and continuity, partial differentiation, differentiability, partial differential equations.
Unit6 Partial differential equations in Physics Introduction, method separation of variables, solving initial and boundary value problem in physics.
Unit7 Fourier Series – Introduction, Finding the coefficient, uses, even and odd functions, Fourier sine and Cosine series, Halfrange expansions, convergence of Fourier series.
Unit8 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.

UGPHS11
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 MatterSemiClassical 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 : 9788122414653.

B. CHEMISTRY

Year

Paper No.

Course Code

Title of the Course

Credits

Compulsory Elective

Compulsory Core Course

1st year

194

UGCHE01

Atom And Molecules

3
3 8
2

Compulsory

195

UGCHE03

Inorganic Chemistry

2783

UGCHE(L)6

Practical Based on Inorganic Chemistry

2nd year

196

UGCHE04

Physical Chemistry

3
3 8
2

Compulsory

197

UGCHE05

Organic Chemistry

203

UGCHE (L)3

Practical Based on Organic Chemistry

3rd year

199

UGCHE10

Spectroscopy

3
3 8
2

Compulsory

2784

UGCHE12

Organic Reaction Mechanism

204

UGCHE (L)4

Practical Based on Physical Chemistry

DisciplineCentric Elective Course (Select any two Papers)


198

UGCHE09

Biochemistry

4

Elective

200

UGCHE11

Mathematical Methods

4

2785

UGCHE13

Statistical Methods

4

2786

UGCHE14

Bioanalytical Techniques

4

2787

UGCHE15

Nutritional Biochemistry

4

Compulsory Foundation Cours

1st year

2700

UGFODL

Foundation Course in Open and Distance Learning

Noncredit

Compulsory

2nd year

012

CHEQ/EA

Foundation Course in Enviroment Awarness

Noncredit

Compulsory

3rd year

003

UGFIT

Foundation Course in Information Technology

Noncredit

Compulsory

Elective foundation Course

1st year

001

UGFHS

Foundation Course in Humanities and Social Science

4

Elective

2nd year

004
or
005

UGFEG
or
UGFHD

Foundation Course in English
or
Foundation course in Hindi

4
or
4

3rd year

2501
or
007
or
009
or
2701

DM
or
AOCHE
Or
AOCNC
Or
SWM

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

4
or
4
or
4
or
4

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

Either in 2nd year
Or
in 3rd year

2651
or
2653
or
2654
or
2655

UGSSC01
or
UGSSC03
or
UGSSC04
or
UGSSC05

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

8
or
8
or
8
or
8

Elective


UGCHE 01
Atoms and Molecules

Block 01
Structure of MatterI
Unit01 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.
Unit02 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.
Unit03 Electronic Theory of Valence Basic Theory Electrovalent or lonic Bond, Covalent Bond Bond Polarity, VSEPR Theory
Unit04 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.
Unit05 Molecular Orbital Theory LACO Theory, Homonuclear. Diatomic Molecules, Heteronuclear Diatomic Molecules, Comparison of Valence Bond and Molecular Orbital Theories.
BlockII
Structure of MatterII
Molecular Properties Polar and Non Polar Molecular, Dielictric Constant, Dipole Moment, Magnetic Properties of matter ; Molecular SpectroscopyI; Molecular SpectroscopyII; Nuclear Chemistry

UGCHE 03
Inorganic ChemistryI

BlockI Periodicity and SBlock Elements
Periodic Table; Periodicity ; Hydrogen; Alkali Metals; Alkali Earth Metals
BlockII
p Block Elements –I
Elements of Group 13; Elements of Group 14; Elements of Group 15.
BlockIII p Block Elements –II
Elements of Group 16; Elements of Group 17; Elements of Group 18
BlockIII d and f Block Elements
Transition Elements; Inner Transition Elements; Coordination Group; Isolation and participation of Metals

UGCHE 04
Physical Chemistry

BlockI Chemical Equilbria and Electro Chemistry
Chemical Equilibria; Ionic Equilibria; Electrolytic Conductance of Solutions; Electro Chemical Cells
BlockII Dynamics and Macro Molecules
Chemical Kinetics; Photo Chemistry; Colloids and Macro Molecules; Surface Chemistry and Catalysis
BlockIV Chemical Equilibria and Electro Chemistry
Chemical Equilibria; Ionic Equilibria; Electrolytic Conductance of Solutions; Electro Chemical Cells
BlockV Dynamics and Macro Molecules
Chemical Kinetics; Photo Chemistry; Colloids and Macro Molecules; Surface Chemistry and Catalysis

UGCHE 05
Organic Chemistry

 