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M-SC in Mathematics at The University of Burdwan
Purba Bardhaman, West Bengal
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About the Specialization
What is Mathematics at The University of Burdwan Purba Bardhaman?
This M.Sc. Mathematics program at The University of Burdwan focuses on developing a strong theoretical foundation across pure and applied mathematics. It aims to equip students with advanced analytical and problem-solving skills crucial for research, academia, and various industries in India. The curriculum emphasizes both classical and modern mathematical concepts, preparing graduates for diverse challenges in a rapidly evolving job market.
Who Should Apply?
This program is ideal for Bachelor of Science graduates with a strong background in Mathematics (Honours) or a related allied subject from a recognized university. It caters to individuals aspiring for careers in teaching, research, data science, financial analytics, or engineering roles. Working professionals seeking to deepen their mathematical expertise for advanced analytical positions can also benefit significantly.
Why Choose This Course?
Graduates of this program can expect to pursue M.Phil./Ph.D. in mathematics, become educators, or secure roles as data scientists, quantitative analysts, or research associates in India. Entry-level salaries typically range from INR 3-6 LPA, growing significantly with experience and specialization. The rigorous training aligns with requirements for competitive exams and advanced studies, opening doors to diverse career growth trajectories.
Student Success Practices
Foundation Stage
Build Strong Foundational Concepts- (Semester 1-2)
Actively engage with core theoretical subjects like Abstract Algebra, Real Analysis, and Topology. Focus on understanding proofs and fundamental definitions. Regularly solve problems from standard textbooks and supplementary materials to solidify understanding.
Tools & Resources
NPTEL courses for core mathematics, Online problem-solving communities like StackExchange, Classic textbooks (e.g., Rudin for Analysis, Dummit & Foote for Algebra)
Career Connection
A solid foundation is critical for excelling in competitive exams (NET, GATE) for research and teaching, and provides the conceptual bedrock for advanced applications in data science and quantitative roles.
Develop Computational and Programming Skills- (Semester 1-2)
Pay close attention to Computer Programming in C and Numerical Analysis with practicals. Practice coding algorithms, implement numerical methods, and develop problem-solving logic using programming.
Tools & Resources
Online coding platforms (HackerRank, LeetCode basic math problems), C language tutorials, Open-source numerical libraries
Career Connection
These skills are directly applicable for roles in quantitative finance, data analysis, scientific computing, and software development, which are booming sectors in India.
Participate in Peer Learning and Discussion Groups- (Semester 1-2)
Form study groups with peers to discuss complex topics, share understanding of proofs, and work through challenging problems collaboratively. Teaching others helps reinforce your own learning.
Tools & Resources
University library, Departmental common rooms, Online collaborative platforms (e.g., Google Meet for remote discussions)
Career Connection
Enhances communication skills, fosters a collaborative mindset, and exposes students to diverse problem-solving approaches, valuable in any professional team environment.
Intermediate Stage
Advanced Stage
Program Structure and Curriculum
Eligibility:
- B.Sc. with Honours in Mathematics or an allied subject (Physics/Statistics/Computer Science/Electronics) from a recognized University (based on recent admission notices).
Duration: 2 years (4 semesters)
Credits: 96 Credits
Assessment: Internal: 20% (for theory papers), 100% (for practicals/project), External: 80% (for theory papers), 0% (for practicals/project)
Semester-wise Curriculum Table
Semester 1
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTMC101 | Abstract Algebra | Core | 4 | Groups and Subgroups, Normal Subgroups and Quotient Groups, Homomorphism and Isomorphism, Rings and Ideals, Polynomial Rings and Factorization |
| MTMC102 | Real Analysis | Core | 4 | Metric Spaces, Compactness and Connectedness, Uniform Continuity, Riemann Integration, Sequences and Series of Functions |
| MTMC103 | Complex Analysis | Core | 4 | Analytic Functions, Complex Integration, Cauchy''''s Theorem and Integral Formulas, Singularities and Residues, Conformal Mappings |
| MTMC104 | Ordinary Differential Equations | Core | 4 | Existence and Uniqueness of Solutions, Linear Systems of ODEs, Sturm-Liouville Theory, Green''''s Function, Boundary Value Problems |
| MTMC105 | Classical Mechanics | Core | 4 | Lagrangian Formalism, Hamiltonian Formalism, Central Force Problem, Rigid Body Dynamics, Canonical Transformations |
| MTMC106 | Topology | Core | 4 | Topological Spaces, Open and Closed Sets, Continuity and Homeomorphism, Connectedness, Compactness |
Semester 2
| Subject Code | Subject Name | Subject Type | Credits | Key Topics |
|---|---|---|---|---|
| MTMC201 | Functional Analysis | Core | 4 | Normed Linear Spaces, Banach Spaces, Hilbert Spaces, Bounded Linear Operators, Dual Spaces |
| MTMC202 | Partial Differential Equations | Core | 4 | First Order PDEs, Classification of Second Order PDEs, Wave Equation, Heat Equation, Laplace Equation |
| MTMC203 | Fluid Dynamics | Core | 4 | Kinematics of Fluid Motion, Equation of Continuity, Euler''''s and Navier-Stokes Equation, Viscous Flows, Boundary Layer Theory |
| MTMC204 | Differential Geometry | Core | 4 | Curves in R3, Surfaces, First and Second Fundamental Forms, Curvature of Surfaces, Geodesics |
| MTMC205 | Numerical Analysis (with Practical) | Core | 4 | Numerical Solution of Algebraic Equations, Interpolation, Numerical Differentiation and Integration, Numerical Solution of ODEs, Practical implementation using programming |
| MTMC206 | Computer Programming in C (with Practical) | Core | 4 | C Language Fundamentals, Data Types, Operators, Control Structures, Functions and Pointers, Arrays and Strings, File Handling and Basic Algorithms |
