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M.Sc. Mathematics

Programme Details

Duration

2 years (4 semesters)

Eligibility

B.Sc. Mathematics or equivalent with a minimum of 55% marks.

Programme Overview

The M.Sc. Mathematics programme offers advanced training in pure and applied mathematics, covering abstract algebra, real & complex analysis, topology, functional analysis, differential equations, and specialized areas like graph theory, measure theory, and mathematical modeling.

The programme includes computational labs (MATLAB/Python), seminars, research methodology, electives, and a mandatory dissertation to foster deep analytical thinking and research capabilities.

Programme Objectives

  • Provide rigorous advanced knowledge in core and elective areas of mathematics.
  • Develop strong analytical, logical, and proof-based reasoning skills.
  • Enhance computational and modeling abilities using modern tools.
  • Foster research aptitude through methodology and dissertation work.
  • Prepare students for academia, research, industry, and competitive examinations.

Course Structure

The curriculum offers deep and research-oriented mathematical training:

  • Advanced Algebra, Real & Complex Analysis, Topology
  • Differential Equations, Functional Analysis, Measure Theory
  • Graph Theory, Differential Geometry, Mathematical Modeling
  • Electives in Number Theory, Operations Research, etc.
  • Computational Labs, Dissertation, Viva Voce

Skills You Gain

  • Advanced Proof Techniques & Abstract Reasoning
  • Mathematical Modeling & Problem Solving
  • Computational Mathematics (MATLAB/Python)
  • Research Design & Dissertation Writing
  • Analytical & Quantitative Analysis
  • Data Interpretation & Optimization
  • Critical Thinking & Logical Deduction
  • Academic Presentation & Teaching Skills

Career Opportunities

This programme opens advanced opportunities:

  • Lecturer / Assistant Professor
  • Research Scientist / Mathematician
  • Data Scientist / Quantitative Analyst
  • Operations Research Analyst
  • Actuarial Analyst / Statistician
  • Competitive Exams (IAS, NET, GATE)

Higher Studies

  • M.Phil. / Ph.D. in Mathematics / Applied Mathematics
  • Integrated Ph.D. Programs
  • Post-Doctoral Research
  • Competitive Exams: CSIR-NET, GATE, NBHM for JRF
  • International Research Fellowships

Detailed Syllabus

Semester I
  • Advanced Abstract Algebra
  • Real Analysis I
  • Complex Analysis I
  • Ordinary Differential Equations
  • Topology I
  • Practical: Numerical Methods using MATLAB/Python
Semester II
  • Advanced Linear Algebra
  • Real Analysis II
  • Complex Analysis II
  • Partial Differential Equations
  • Functional Analysis Basics
  • Practical: Computational Mathematics Lab
Semester III
  • Measure Theory & Integration
  • Advanced Topology
  • Graph Theory & Combinatorics
  • Elective I (e.g., Number Theory / Fluid Dynamics)
  • Elective II (e.g., Operations Research / Algebraic Geometry)
  • Practical: Advanced Problem Solving & Simulation
Semester IV
  • Functional Analysis
  • Differential Geometry
  • Mathematical Modeling
  • Elective III (Specialization)
  • Dissertation / Project Work
  • Viva Voce

Join the Department of Mathematics (PG)

Deepen your mastery of mathematics with advanced theory and research excellence.

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Awards

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