PG
Programme Level
2 Years
Duration
VBSPU
Affiliating University
About the Programme
Develops advanced mathematical reasoning through higher-level study of mathematical concepts, analytical methods and problem-solving, supporting research and quantitative applications.
Learning Objectives
Algebra, Analysis & Topology
Build a strong foundation in Algebra, Real Analysis and Point-Set Topology to prepare students for further research in modern algebra, analysis and topology.
Applied Mathematics
Study Partial Differential Equations, Calculus of Variations and Classical Mechanics to prepare students for further research in applied mathematics.
Computational Skills
Learn the programmer's model of a computer, algorithms and Programming in C to prepare students for further research in computational mathematics.
Ethical & Value-Based Learning
Develop ethical and moral sense through the study of prominent mathematicians, scientists and thinkers integrated into the curriculum.
Learning Outcomes
Research Readiness
Enter into wide areas of research in analysis, algebra, topology, and functions of several variables.
Competitive Exam Preparation
Gain conceptual understanding for qualifying competitive exams such as CSIR-NET (JRF), IAS, PCS and other teaching jobs.
Real-World Problem Solving
Describe and solve real-world systems using partial differential equations, calculus of variations and divergent solution methods.
Computational Tools
Use programming and numerical methods as tools of computational research, from root-finding and interpolation to matrix operations.
Topology in Science
Apply topology to areas such as condensed matter physics, quantum field theory, differential geometry and knot theory in biology (e.g. effects of enzymes on DNA).
Credit-Wise Distribution
Semester-wise paper titles and credits as per the V.B.S. Purvanchal University M.Sc. Mathematics Syllabus (NEP 2020)
Semester VII
24 Credits- Algebra-I4
- Real Analysis4
- Point-Set Topology4
- Partial Differential Equations and Calculus of Variations4
- Programming in C (Practical)4
- Minor Elective (Other than own faculty)4
Semester VIII
28 Credits- Complex Analysis5
- Functional Analysis5
- Classical Mechanics5
- Elective (Any 1 of 4)*5
- Project cum Dissertation8
*Elective options: Fourier Analysis and Summability Theory, Differential Geometry, Extended MATLAB, Special Theory of Relativity.
Semester IX
20 Credits- Algebra-II4
- Integral Equation and Boundary Value Problems4
- Wavelet (Practical)4
- Elective-I (Any 1 of 4)*4
- Elective-II (Any 1 of 4)*4
*Elective-I: Advanced Discrete Mathematics, Advanced Linear Algebra, Fluid Mechanics, Probability Theory. Elective-II: Advanced Ordinary Differential Equations, Fuzzy Sets and Its Applications, Non-linear Analysis, Special Function.
Semester X
28 Credits- Measure and Integration5
- Elective-I (Any 1 of 5)*5
- Elective-II (Any 1 of 4)*5
- Elective-III (Any 1 of 4)*5
- Project cum Dissertation8
*Elective-I: Advanced Topology, Algebraic Number Theory, Mathematical Modelling, Advanced Partial Differential Equations, Operations Research. Elective-II: Advanced Special Function, Mathematical Method, Module Theory, Wavelet Analysis. Elective-III: Differential Geometry of Manifolds, Dynamical System, General Relativity and Cosmology, Operator Theory.
Downloads
| Document | View / Download |
|---|---|
| Syllabus (M.Sc. Mathematics) | View PDF |
| Teacher Notes | Coming Soon |
| Previous Year Question Papers | Coming Soon |
Eligibility
Candidates should have completed the qualifying examination prescribed by the University for admission to this programme, with the minimum marks specified in the current year's admission guidelines.