SSSIHL

SSSIHL

M.Sc. in Mathematics

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Free
SSSIHL
,

0 Seat

Postgraduate Programme
For Men

Duration: 2 Years

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Overview

The M.Sc. in Mathematics programme at SSSIHL is designed to build on students’ existing mathematical skills and allows them both broaden and deepen their understanding of the branches of mathematics which interest them most.

It offers students a comprehensive understanding of mathematics through fundamental courses in key areas such as Analysis, Algebra, Geometry, Differential Equations, Probability & Statistics, and Operations Research.

The programme includes software laboratory courses in the first two semesters to provide students with practical experience in programming languages.

In addition, the mini-project, term paper and dissertation components help students develop expertise and research skills in their specific areas of interest.

Specializations

The M.Sc. programme offers students the opportunity to customize their expertise with diverse specializations. They will take four mandatory electives (16 credits) in Year 2 (Semesters 1, 2 and 3) from any one of the following five Stream Cores:

  • Computer Science
  • Actuarial Science
  • Industrial Mathematics and Scientific Computing
  • Analysis and Applications
  • Mathematical Biology

By choosing their preferred focus, they can tailor their academic journey to align with specific interests and career goals.

GENERAL ELECTIVES
In Year 2 (Semesters 3 and 4), a broad range of electives are offered to students (see the list of Courses). They can pick and choose from any of them.

Eligibility

  • 10+2 years of schooling from a recognized board and 3 years of university (total 15 years)
  • Either passed or appeared for Final exams at Bachelor’s degree level before Admissions. If not appeared for Bachelor’s degree final exams, aggregate marks in all the preceding Years/Semesters put together 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 24 years as of 30th June in the year of admission

Courses

YEAR 1

Semester 1
Advanced Real Analysis
Advanced Linear Algebra
Commutative Algebra
Stream Core – I
Awareness Course I: Education for Life

Semester 2
Functional Analysis
Probability & Statistics
Stream Core – II
Stream Core – III
Mini Project
Awareness Course II: God, Society, and Man

YEAR 2

Semester 3
Differential Geometry
Optimization Techniques
Stream Core – IV
Elective – I
Seminar
Awareness Course III: Guidelines for Morality

Semester 4
Mathematical Modelling
Elective – II
Elective – III
Elective – IV
Dissertation
Awareness Course IV: Wisdom for Life

SPECIALIZATION (Stream Core) ELECTIVES

It is mandatory for students to study all the four electives (Stream Cores I-IV) from any one of the Specialization areas below:

Computer Science

  • Stream Core – I: Computer Organization and Design
  • Stream Core – II: Computer Networks
  • Stream Core – III: Design of Algorithms
  • Stream Core – IV: Database Systems

Actuarial Science

  • Stream Core – I: Actuarial Mathematics
  • Stream Core – II: Applied Statistical Methods
  • Stream Core – III: Actuarial Models
  • Stream Core – IV: Financial Economics

Industrial Mathematics and Scientific Computing

  • Stream Core – I: Techniques in Applied Mathematics
  • Stream Core – II: Numerical solutions to PDEs
  • Stream Core – III: Numerical Methods in Image Processing
  • Stream Core – IV: Introduction to Statistical Learning

Analysis and Applications

  • Stream Core – I: Techniques in Applied Mathematics
  • Stream Core – II: Measure Theory
  • Stream Core – III: Theory of Ordinary Differential Equations
  • Stream Core – IV: Theory of Partial Differential Equations

Mathematical Biology

  • Stream Core – I: Techniques in Applied Mathematics
  • Stream Core – II: Mathematical Ecology
  • Stream Core – III: Theory of Ordinary Differential Equations
  • Stream Core – IV: Mathematical Epidemiology

General Electives

Students can choose any four electives from the lists below.

Algebra, Geometry & Number Theory
Algebraic Topology, Algebraic Geometry, Symplectic Geometry, Foundations on Algebraic Number Theory, Analytic Number Theory, Riemannian Manifolds, Differentiable Manifolds, Mathematical Cryptography

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, Complex Analysis,Topology

Applied Mathematics
Calculus of Variations, Finite Element Methods, Wavelet Analysis, Integral Equations, Integral Transforms, Game Theory

Computer Science
Artificial Intelligence, Computer Graphics, Formal Languages and Automata, Pattern Recognition, Cryptography, Neural Networks, Mathematical Methods for Data Mining, Operating Systems, Systems Programming, Quantum Algorithms, Web Programming

Actuarial Science
General Insurance, Life and Health Contingencies, Actuarial Risk Management 1 – Foundation, Actuarial Risk Management 2 – Advanced, Enterprise Risk Management

Industrial Mathematics and Scientific Computing
Computational Statistics, Convex Optimization, Mathematical Methods in Image Processing

Mathematical Biology
Deterministic Optimal Control Theory, Stochastic Differential Equation, Dynamical Systems, Advanced Non-Linear Dynamical Systems

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Instructor

SSSIHL

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