Postgraduate Programme
For Women and Men
Free
Duration: 2 Years
The M.Sc. in Mathematics Programme provides a broad-based knowledge of mathematics to students through core courses that cover the areas of Analysis, Algebra, Geometry, Differential Equations, Probability & Statistics, Operations Research, etc. The syllabus also provides one software laboratory course in each of the four semesters, which will enable hands-on experience with various programming languages, software packages and in working in different platforms. In order to develop a deep understanding and skill in chosen areas, the programme provides different streams of electives.
- Students have an option to specialize in Computer Science or Actuarial Science
- 10+2 years of schooling and 3 years of university (total 15 years) as recognized by SSSIHL
- Either passed or appeared for Final exams at the Bachelor’s degree level before the Admissions Test/li>
- Bachelor’s degree: 50% or more (English) and 60% or more (Aggregate incl. English) or CGPA aggregate of 6 or more
(10-point scale) and 5 or more (10-point scale) in English. If not appeared for Bachelor’s degree final exams, aggregate marks in all the preceding Years/Semesters put together marks will be considered - Only candidates with a B.Sc. in Mathematics or other B.Sc. programmes (M/P/C or M/E/S or M/P/CS) with a major/specialization in Mathematics are eligible to apply
- Familiarity with the following is mandatory for admissions:
Mathematics: Calculus, Differential Equations, Probability Theory, Real Analysis, Group Theory, Ring Theory, Linear Algebra, Complex Analysis, Discrete Mathematics, and Numerical Analysis
Computer Science: C Language Programming - Age: preferably below 23 years on 31 May in the year of admission
YEAR 1
Semester 1
Advanced Real Analysis, Advanced Linear Algebra, Commutative Algebra, Number Theory/Stream Core I, Software Lab I (Practical)
Semester 2
Functional Analysis, Probability & Statistics, Measure Theory/ Stream Core II, Theory of Ordinary Differential Equations / Stream Core III, Software Lab II (Practical), Seminar
YEAR 2
Semester 3
Differential Geometry, Optimization Techniques, Theory of Partial Differential Equations/Stream Core IV, Elective I, Term Paper / Dissertation Interim Review
Semester 4
Mathematical Modeling, Elective II, Elective III, Elective IV, Dissertation, Comprehensive Viva voce
SPECIALIZATION
The Department offers specialization in Computer Science or Actuarial Science.
Students who opt for this are required to take the four Stream Core subjects listed below for each specialization:
Computer Science
Stream Core 1: Computer Organization and Design
Stream Core 2: Computer Networks
Stream Core 3: Systems Programming
Stream Core 4: Database Systems
Actuarial Science
Stream Core 1: Actuarial Mathematics
Stream Core 2: Applied Statistical Methods
Stream Core 3: Actuarial Models
Stream Core 4: Financial Economics
LAB COURSES
C++ Programming, Advanced C++ Programming, Programming in Python, Numerical Methods and Simulation Lab, Introduction to SageMath Programming, Symbolic Computing in SageMath, Introduction to MATLAB Programming, Advanced MATLAB Programming, Introduction to OCTAVE Programming, Advanced OCTAVE Programming, Data Analysis and Visualization using Python, Mathematical Methods in Data Mining using Python, SQL Programming, Core Java Programming, Operating Systems Lab, Actuarial Mathematics using R, Actuarial Mathematics using SAS
ELECTIVES
Stream I: Algebra, Geometry & Number Theory
Algebraic Topology, Algebraic Geometry, Symplectic Geometry, Foundations on Algebraic Number Theory, Analytic Number Theory, Riemannian Manifolds, Differentiable Manifolds, Mathematical Cryptography
Stream II: Analysis and Applications
Sobolev Spaces and Sobolev Functions, Distribution Theory, Advanced Complex Analysis, Functional Analytic Methods for Partial Differential Equations, Spectral Theory of Linear Operators, Harmonic Analysis
Stream III: Differential Equations and Dynamical Systems
Dynamical Systems, Advanced Nonlinear Dynamic Systems, Time scale, Integral Equations, Control Theory, Numerical Solutions of Partial Differential Equations
Stream IV: Applied Mathematics
Calculus of Variations, Finite Element Methods, Wavelet Analysis, Mathematical Ecology, Mathematical Methods in Image Processing, Numerical Methods in Image Processing, Integral Transforms, Techniques in Applied Mathematics, Statistics, Convex Optimization, Game Theory
Stream V: Computer Science
Artificial Intelligence, Computer Graphics, Formal Languages and Automata, Pattern Recognition, Neural Networks, Mathematical Methods for Data Mining, Design of Algorithm, Operating System
Stream VI: Actuarial Science
General Insurance, Life and Health Contingencies, Economics, Actuarial Risk Management 1 (Foundation), Actuarial Risk Management 2 (Advanced), Enterprise Risk Management
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