M.Sc. - Mathematics & Computing

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1. FIVE YEAR INTEGRATED M. Sc. PROGRAMME IN. MATHEMATICS AND COMPUTING. Sem. No. Subject No. Subject Name. L-T-P Credits. MA10001 ...
FIVE YEAR INTEGRATED M. Sc. PROGRAMME IN MATHEMATICS AND COMPUTING Sem. Subject No. Subject Name No. MA10001 Mathematics I PH10001/ Physics/Chemistry CY10001 ME10001 Mechanics/ HS11001 English for Communication EE10001/ Electrical Technology/ CS10001 Programming and Data Structures ME13001/ Introduction to Manufacturing Processes/ 1 CE13001 Engineering Drawing and Graphics PH19001/ Physics Lab/Chemistry Lab CY19001 EE19001/ Electrical Technology Lab/ CS19001 Programming and Data Structures Lab EAA19001 Extra Academic Activity – 1 Total

L-T-P Credits 3-1-0

4

3-1-0

4

3-1-0 3-0-2

4

3-1-0

4

1-0-3

3

0-0-3

2

0-0-3

2

0-0-3 13-4-12/ 13-3-14

1 24

Sem. Subject No. Subject Name L-T-P Credits No. MA10002 Mathematics II 3-1-0 4 CY10001/ Chemistry/Physics 3-1-0 4 PH10001 HS11001 English for Communication/ 3-0-2 4 ME10001 Mechanics 3-1-0 CS10001/ Programming and Data Structures/ 3-1-0 4 EE10001 Electrical Technology CE19001/ Engineering Drawing and Graphics/ 2 1-0-3 3 ME19001 Introduction to Manufacturing Processes CY19001/ Chemistry Lab/Physics Lab 0-0-3 2 PH19001 CS19001/ Programming and Data Structures Lab/ 0-0-3 2 EE19001 Electrical Technology Lab EAA19002 Extra Academic Activity – 2 0-0-3 1 13-3-14/ Total 24 13-4-12

1

Sem. Subject No. Subject Name No. MA20101 Transform Calculus MA20103 Partial Differential Equations EC21101 Basic Electronics MA21005 Design & Analysis of Algorithms 3

Breadth I (Proff. or Basic Science) MA29005 Design & Analysis of Algorithms Lab EC29001 Basic Electronics Lab EAA19003 Extra Academic Activity – 3 Total

Sem. Subject No. Subject Name No. MA20102 Probability & Statistics Numerical Solution of Ordinary and MA20106 Partial Differential Equations MA21006 Discrete Mathematics EC Principles of Microprocessor 4 Breadth-2 (IT/Proff.) HS20001 Economics EC Microprocessor Lab EAA19004 Extra Academic Activity – 4 Total Sem. Subject No. Subject Name No. MA30001 Object Oriented Programming MA30003 Linear Algebra MA30005 Advanced Numerical Techniques MA30007 Real Analysis 5 Breadth-3 ( IT/Proff) MA39001 Object Oriented Programming Lab Total

2

L-T-P Credits 3-0-0 3 3-0-0 3 3-1-0 4 3-0-0 3 3-1-0/ 4/3 3-0-0 0-0-3 2 0-0-3 2 0-0-3 1 15-2/1-9 22/21 L-T-P Credits 3-0-0

3

3-0-0

3

3-0-0 3 3-0-0 3 3-1-0/ 4/3 3-0-0 3-1-0 4 0-0-3 2 0-0-3 1 18-2/1-6 23/22 L-T-P Credits 3-0-0 3 3-1-0 4 3-1-0 4 3-1-0 4 3-1-0/ 4/3 3-0-0 0-0-3 2 15-4/3-3 21/20

Sem. Subject No. Subject Name No. MA30002 Modern Algebra MA30006 Advanced Complex Analysis MA30004 Operations Research MA30008 Finite Automata and Formal Languages 6 Breadth-4 (Proff/Mgmt) MA33010 Advanced Programming + Lab Total Sem. Subject No. Subject Name No. MA40001 Functional Analysis MA40003 Systems Programming MA40005 Stochastic Processes Elective I 7

L-T-P Credits 3-1-0 4 3-1-0 4 3-0-0 3 3-0-0 3 3-1-0/ 4/3 3-0-0 1-0-3 3 16-3/2-3 21/20 L-T-P Credits

Breadth-5 (Proff/HSS/Mgmt) MA49003 System Programming Lab Total Sem. Subject No. Subject Name No. Integral Equations and Variational MA40002 Methods File Organization and Data Base MA40004 Systems MA40006 Theory of Operating Systems 8 Elective II Breadth-6 (Proff/HSS) MA49006 Operating Systems Lab Total Sem. Subject No. Subject Name No. Elective-III Elective-IV Elective V 9 MA57001 Project & Seminar MA58001 Summer Training

3-1-0 4 3-0-0 3 3-1-0 4 3-1-0 4 3-1-0/ 4/3 3-0-0 0-0-3 2 15-4/3-3 21/20 L-T-P Credits 3-1-0

4

3-1-0

4

3-0-0 3 3-1-0 4 3-1-0/ 4/3 3-0-0 0-0-3 2 15-4/3-3 21/20 L-T-P Credits

Total

3

3-1-0 3-1-0 3-1-0 0-0-6 0-0-0 9-3-6

4 4 4 4 2 18

Sem. Subject No. Subject Name No. MA50002 Topology Elective-VI Elective-VII 10 MA57002 Project & Viva MA58002 Comprehensive Viva voce

L-T-P Credits

Total

3-1-0 3-1-0 3-1-0 0-0-9 0-0-0 9-3-9

4 4 4 6 2 20

Minimum number of Credits : 209 LIST OF ELECTIVES Elective – I S. No. 1. 2. 3. 4.

Subject No. Subject Name MA40007 Theory of Compiler Design MA40009 Number Theory MA40011 Fluid Mechanics MA40013 Non Linear Programming

S. No. 1. 2. 3. 4. 5.

Subject No. Subject Name MA40008 Optimization by Vector Space Methods MA40010 Optimization Techniques MA40012 Statistical Inference MA40014 Information and Coding Theory MA40016 Discrete Dynamical Systems

S. No. 1. 2. 3. 4. 5. 6. 7.

Subject No. Subject Name MA50001 Queuing Theory MA50003 Decision Theory MA50005 Time Series and Forecasting MA50007 Pattern Recognition and Scene Analysis MA50009 Multivariate Analysis MA 50011 Computational Statistics MA51001 Differential and Riemannian Geometry

L-T-P 3-1-0 3-1-0 3-1-0 3-1-0

Credits 4 4 4 4

L-T-P 3-1-0 3-1-0 3-1-0 3-1-0 3-1-0

Credits 4 4 4 4 4

L-T-P

Credits

3-1-0

4

3-1-0 3-1-0 3-1-0 3-1-0 3-1-0 3-1-0

4 4 4 4 4 4

Elective –II

Elective – III

4

Elective – IV S. No. 1. 2. 3. 4. 5. 6. 7. 8.

Subject No. Subject Name MA 50021 Software Engineering MA 50023 Symbolic Computation MA 50025 Graph theory and Algorithms MA 50027 Parallel Algorithms Mathematical Logic and Logic MA 50029 Programming MA 50031 Bioinformatic Algorithms MA 52007 Cryptography and Network Security MA 51107 Fuzzy Sets and Applications

L-T-P 3-1-0 3-1-0 3-1-0 3-1-0

Credits 4 4 4 4

3-1-0

4

3-1-0 3-1-0 3-1-0

4 4 4

L-T-P 3-1-0 3-1-0 3-1-0 3-1-0

Credits 4 4 4 4

3-1-0

4

L-T-P 3-1-0 3-1-0 3-1-0 3-1-0

Credits 4 4 4 4

L-T-P 3-1-0 3-1-0 3-1-0 3-1-0

Credits 4 4 4 4

Elective – V S. No. 1. 2. 3. 4. 5.

Subject No. Subject Name MA 50041 Computational Linear Algebra MA 50043 Computational Fluid Dynamics MA50045 Finite Element Methods MA50047 Wavelet Analysis Modern Theory of Partial Differential MA 50049 Equations

Elective – VI S. No. 1. 2. 3. 4.

Subject No. Subject Name MA 53002 Measure Theory & Integration MA 53004 Theory of Operators MA 53006 Banach Algebra MA 53008 Boundary Element Methods

Elective – VII S. No. 1. 2. 3. 4.

Subject No. Subject Name MA 53022 Computer Graphics MA 53024 Artificial Intelligence MA 53026 Computational Geometry MA 53028 Computer Networks

5

“Requirement for MINOR” in Mathematics & Computing (For students of other departments) (SIX subjects to be chosen with at least THREE from Group A and at least ONE from Group B)

GROUP A Sub.No. Subject Name

Semester

MA 30007 Real Analysis MA 30003 Linear Algebra MA 30005 Advanced Numerical Techniques MA 30002 Modern Algebra MA 30006 Advanced Complex Analysis MA 30004 Operations Research MA 40001 Functional Analysis MA 40005 Stochastic Processes Integral Equations and Variational MA 40002 Methods MA 50002 Topology MA 40009 Number Theory MA 40011 Fluid Mechanics MA 53002 Measure Theory & Integration

Autumn Autumn Autumn Spring Spring Spring Autumn Autumn

Pre-requisite L-T-P Credits (Sub.No) 3-1-0 4 3-1-0 4 3-1-0 4 3-1-0 4 3-1-0 4 3-1-0 4 Real Analysis 3-1-0 4 Prob. & Stat. 3-1-0 4

Spring

3-1-0

4

Spring Real Analysis Autumn Autumn Spring Real Analysis

3-1-0 3-1-0 3-1-0 3-1-0

4 4 4 4

GROUP B Sub.No. Subject Name

Semester

Design and Analysis of MA 21005 Algorithms & MA 29005 Design and Analysis of Algorithms Lab MA 21006 Discrete Mathematics Object Oriented Programming & MA 30001 Object Oriented Programming MA 39001 Lab File Organization and MA 40004 Data Base Systems

Autumn Spring Autumn Spring

MA 40006 Theory of Operating Systems & MA 49006 Operating Systems Lab

Spring

MA 50025 Graph theory and Algorithms MA 53028 Computer Networks

Autumn Spring

6

Pre-requisite L-T-P Credits (Sub.No) 3-0-0 & 0-0-3

5

3-0-0 3-0-0 & 0-0-3

3

3-1-0

4

3-0-0 & 0-0-3 3-1-0 3-1-0

5

5 4 4

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