M.Sc. (Mathematics)

Name of Programme: Master of Science (Mathematics)

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