Academic Programmes

An elaborate list of our research-oriented academic programmes

M.Sc. (Mathematics and Computing) Scheme and Syllabus

Nature: Full time/ Part time/ Correspondence: Full Time

Duration: Two Years (4 Semesters).

 

Mathematics and Computing Programme is combination of mathematics with computer science. Covering the major areas in demand today, this programme is of utmost value to the aspiring graduate students with Mathematics background. The course provides students with comprehensive theoretical knowledge and also practical training in computer science and numerical computing. This programme has been introduced due to the need for sophisticated mathematics for modern scientific investigations and technological developments. The curriculum is designed to provide students with in depth theoretical background and practical training in computer science and numerical computing so that a student become competent to take challenges in mathematics at national and international levels.

 

Eligibility Criteria and Admission Procedure: The candidates seeking admission to M.Sc. (Mathematics) must have a Bachelor degree with Mathematics as a major subject. The qualifying degree must be from a recognized University by the University Grants Commission with minimum duration of  three years.  The candidate must have at least 60% (55% for SC/ST) marks in qualifying degree. Admissions shall be made by merit which will be made by combining the percentages of marks obtained in 10th, 12th and graduation level. The degree marks will be considered up to second year/four semesters. 

Number of Seats: 20

Program Educational Objective:  The objectives of the M.Sc. (Mathematics and Computing) program are to

  1. create a platform for higher studies and research in mathematics, computing and inter-disciplinary areas.
  2. develop sound analytical and practical knowledge to take up jobs in Software, Finance Industry, Research and Teaching.
  3. prepare students to qualify various national and international competitive examinations.

Program Outcomes: The successful completion of this program will enable the students to

  1. acquire the knowledge and explaining of the pure mathematics covering analysis and algebra and ability to apply this knowledge in other fields.
  2. use of applied mathematics courses such as Numerical Analysis, Operations Research, Probability and Statistics; and Mechanics to solve real life problems.
  3. join software and IT industry with sound knowledge of programming and mathematics based computing.
  4. pursue research as a career in mathematics, computing and inter-disciplinary fields.

 

 

SEMESTER – I

SR. NO. COURSE NO. TITLE L T P CR
1 PMC107 REAL ANALYSIS – I 3 1 0 3.5
2 PMC108 ALGEBRA-I 3 1 0 3.5
3 PHU002 PROFESSIONAL COMMUNICATION 2 1 0 2.5
4 PMC104 FUNDAMENTALS OF COMPUTER SCIENCE AND C PROGRAMMING 3 0 4 5.0
5 PMC105 DISCRETE MATHEMATICAL STRUCTURE 3 1 0 3.5
6 PMC106 DIFFERENTIAL EQUATIONS 3 1 0 3.5

TOTAL

17 5 4 21.5

SEMESTER – II

SR. NO. COURSE NO. TITLE L T P CR
1 PMC201 REAL ANALYSIS –II 3 1 0 3.5
2 PMC205 DATA BASE MANAGEMENT SYSTEM 3 0 2 4.0
3 PMC209 NUMERICAL ANALYSIS 3 1 2 4.5
4 PMC210 DATA STRUCTURES AND ALGORITHMS 3 0 4 5.0
5 PMC103 COMPLEX ANALYSIS 3 1 0 3.5
6 PMC211 COMPUTER ORGANIZATION AND OPERATING SYSTEMS 3 0 2 4.0

TOTAL

18 3 10 24.5

SEMESTER – III

SR. NO. COURSE NO. TITLE L T P CR
1 PMC305 MATHEMATICAL METHODS 3 1 0 3.5
2 PMC306 PROBABILITY AND STATISTICS 3 1 2 4.5
3 PMC303 COMPUTER NETWORKS 3 0 2 4.0
4 PMC304 MECHANICS 3 1 0 3.5
5 PMC208 OPERATIONS RESEARCH 3 1 2 4.5
6 PMC391 SEMINAR - - - 2.0
7   ELECTIVE-I 3 0 2 4.0

TOTAL

18 4 8 26.0

SEMESTER – IV

SR. NO. COURSE NO. TITLE L T P CR
1 PMC401 FUNCTIONAL ANALYSIS 3 0 0 3.0
2 PMC402 ALGEBRA-II 3 1 0 3.5
3   ELECTIVE-II 3 0 0 3.0
4 PMC491 DISSERTATION - - - 10.0

TOTAL

9 1 0 19.5

TOTAL CREDITS: 91.5

ELECTIVE- I

SR. NO. COURSE NO. TITLE L T P CR
1 PMC311 COMPUTER GRAPHICS 3 0 2 4.0
2 PMC312 OBJECT ORIENTED PROGRAMMING 3 0 2 4.0
3 PMC313 GRAPH THEORY AND APPLICATIONS 3 0 2 4.0
4 PMC314 ARTIFICIAL NEURAL NETWORKS 3 0 2 4.0
5 PMC315 DIGITAL IMAGE PROCESSING 3 0 2 4.0
6 PMC317 SOFTWARE ENGINEERING 3 0 2 4.0
7 PMC318 DESIGN AND ANALYSIS OF ALGORITHMS 3 0 2 4.0
8 PMC319 WAVELETS AND APPLICATIONS 3 0 2 4.0
9 PMC323 THEORY OF COMPUTATION 3 0 2 4.0
10 PMC326 WIRELESS NETWORKS AND MOBILE COMPUTING 3 0 2 4.0
11 PMC325 INFORMATION AND NETWORK SECURITY 3 0 2 4.0

ELECTIVE –II

SR. NO. COURSE NO. TITLE L T P CR
1 PMC411 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 3 0 0 3.0
2 PMC422 FLUID MECHANICS 3 0 0 3.0
3 PMC423 ALGEBRAIC CODING THEORY 3 0 0 3.0
4 PMC424 FINITE ELEMENT METHODS 3 0 0 3.0
5 PMC301 TOPOLOGY 3 0 0 3.0
6 PMC426 NUMBER THEORY AND CRYPTOGRAPHY 3 0 0 3.0
7 PMC427 FUZZY SETS AND APPLICATIONS 3 0 0 3.0
8 PMC432 ADVANCED OPERATIONS RESEARCH 3 0 0 3.0
9 PMC433 THEORY OF ELASTICITY 3 0 0 3.0
10 PMC430 MODELING OF STELLAR STRUCTURE 3 0 0 3.0

M.Sc. (Mathematics) Scheme and Syllabus

Nature: Full time/ Part time/ Correspondence: Full Time

Duration: Two Years (4 Semesters)

Eligibility Criteria and Admission Procedure: The candidates seeking admission to M.Sc. (Mathematics) must have a Bachelor degree with Mathematics as a major subject. The qualifying degree must be from a recognized University by the University Grants Commission with minimum duration of three years. The candidate must have at least 60% (55% for SC/ST) marks in qualifying degree. Admissions shall be made by merit which will be made by combining the percentages of marks obtained in 10th, 12th and graduation level. The degree marks will be considered up to second year/four semesters.

Number of Seats: 20

Program Educational Objective: The objectives of the M.Sc. (Mathematics) program are to

  • 1. enable students for pursuing higher studies and research in pure and applied mathematics.
  • 2. develop skills required for sound analytical and practical knowledge to pursue careers in Research, Education and Industry.
  • 3. prepare students to qualify various national and international competitive examinations.
  • 4. develop mathematical thinking encompassing logical reasoning, generalization, abstraction, and formal proof.

Program Outcomes: The successful completion of this program will enable the students to

  • 1. acquire the knowledge and understanding of pure and applied mathematics and communicate mathematics effectively.
  • 2. apply critical thinking skills to solve real life problems that can be modeled mathematically.
  • 3. pursue research career in mathematics and inter-disciplinary fields.
  • 4. have the ability to assess and interpret complex situation, enabling them to choose successful career in education and industry.

SCHEME OF COURSES FOR M.Sc. (Mathematics)

First Semester

S.No. Course Name L T P Cr.

1.

Real Analysis

3

1

0

3.5

2.

Algebra I

3

1

0

3.5

3.

Ordinary Differential Equations

3

1

0

3.5

4.

Mechanics

3

1

0

3.5

5.

Computer Programming

3

0

4

5.0

 

Total

15

4

4

19.0

Second Semester

S.No. Course Name L T P Cr.

1.

Measure theory and Integration

3

1

0

3.5

2.

Algebra II

3

1

0

3.5

3.

Partial Differential Equations

3

1

0

3.5

4.

Complex Analysis

3

1

0

3.5

5.

Numerical Analysis

3

1

2

4.5

 

Total

15

5

2

18.5

Third Semester

S.No. Course Name L T P Cr.

1.

Functional Analysis

3

1

0

3.5

2.

Topology

3

1

0

3.5

3.

Probability and Statistics

3

1

2

4.5

4.

Mathematical Programming

3

1

2

4.5

5.

Elective I

3

1

0

3.5

 

Total

15

5

4

19.5

Fourth Semester

S.No. Course Name L T P Cr.

1.

Number Theory

3

1

0

3.5

2.

Mathematical Methods

3

1

0

3.5

3.

Elective-II

3

1

0

3.5

4.

Dissertation

-

-

-

10.0

 

Total

9

3

0

20.5

TOTAL CONTACT HOURS: 81                                                          TOTAL CREDITS: 77.5

List of Electives:

Elective- I

S.No. Applied Mathematics Pure Mathematics Operation Research and Statistics

1.

Numerical Methods for Partial Differential Equations

 

Advanced Functional Analysis

Stochastic Processes

2.

Introduction to Astronomy and Astrophysics

Enumerative Combinatorics

Advanced Numerical Optimization Techniques

3.

Wavelet and Applications

Advanced Complex Analysis

Fuzzy Sets and Applications

4.

Mathematical Biology and Non-Linear Dynamics

 

 

Elective II

S.No. Applied Mathematics Pure Mathematics Operation Research and Statistics

1.

Fluid Mechanics 

Algebraic Coding Theory

Statistical Simulation and Computation

2.

Modelling of Stellar Structure

Topological Vector Space

Financial  Mathematics

3.

Finite Element Methods

Fixed Point Theory

Combinatorial Optimization

4.

Asymptotic Methods and Perturbation Theory

 

 

5.

Theory of Elasticity

 

 

The school has at present 27 energetic and dedicated faculty members working in many diverse areas of mathematics with wide range of specialization. Till 2019, school has awarded 61 Ph.Ds and 40 are currently ongoing. School offers Ph.D. degree with the following specializations

Real Analysis

Astronomy and Astrophysics

Mechanics

Optimization, Integer Programming, Numerical Optimization, Duality Theory (Optimization)

Fuzzy Optimization

Number Theory-Partition Theory

Fourier Analysis, Functional Analysis

Soft Computing, Artificial Neural Network

Inverse Problems

Numerical PDE

Fixed Point Theory, Approximation Theory

Numerical Analysis

Mathematical Biology

Mathematical Modelling of Transport

Approximation Theory

Numerical Analysis (for ODE and PDE),  Fluid Mechanics, Mathematical Modeling of  Hamiltonian systems