Integrated MSc in Mathematics (5 year)

   
Intake:    25 (Reservations as per GOI rule)
Eligibility:    Integrated M.Sc in Mathematics (4+1 years as per NEP 2020) : 10+2 standard pass with minimum 60% aggregate marks or equivalent grade point in Mathematics, Physics and Chemistry. .
Admission Procedure:     Admission details.

 

Curriculum of Integrated M.Sc. in Mathematics

    The following courses are offered as part of the Integrated M.Sc. programme.


Semester I Semester II
Physics-I Physics-II
Chemistry-I Physics-Lab
Chemistry-Lab Chemistry-II
Biology-I Biology-Lab
Mathematics-I Mathematics-II
Foundation of Mathematics Real Analysis-II
Real Analysis-I Group Theory
Communicative English Environmental Studies

Mathematics-I and Mathematics-II are only for students not having Mathematics major
Semester III Semester IV
Introductory Statistics & Probability Introductory ODE & PDE
Calculas-I Linear Algebra-I
Combinatorics Co-ordinate Geometry
Physics-III Numerical Methods and Boolean Algebra
Chemistry-III Thermodynamics and Optics/ Introductory Topology
Mathematics-III Disaster Management
Introduction to Scientific Computing
National Service Scheme

Mathematics-III is only for students having Physics and Chemistry major
Semester V Semester VI
Calculas-II Ring Theory
Programming, Algorithm and Mathematical Software Elementary Number Theory
Statics and Dynamics Introduction to Optimization
Elementary Complex Analysis Elementary Integral Transforms and Special Functions
Graph Theory Seminar
Elementary Coding and Information Theory

Semester VII Semester VIII
Abstract Algebra Complex Analysis
Linear Algebra-II Theory of Ordinary Differential Equations
Real Analysis-III Topology
Computer Programming Numerical Analysis
Lebesgue Measure and Integration Computer Lab
Computer Lab Open Elective-I

Computer Lab is a separate practical unit of Computer Programming course
Open Elective-I will be notified by Controller of Examination time to time
Semester IX Semester X
Partial Differential Equations Probability Theory
Functional Analysis Mathematical Methods
DSE-I Classical Mechanics
Open Elective-II DSE-II
Project DSE-III

DSE-I, DSE-II and DSE-III are to be chosen from the following couses:
     Elective Courses
MI 541 Fluid Dynamics MI 570 Coding Theory-II
MI 543 Relativity MI 573 Analytic Number Theory
MI 547 Numerical Linear Algebra MI 574 Galois Theory
MI 549 Graph Theory MI 587 Finite Element Method
MI 552 Operator Theory-I MI 594 Advanced Topology-I
MI 568 Theory of Distribution and Sobolev Spaces MI 595 Numerical Solutions of ODE
MI 569 Coding Theory-I



   Syllabus:  Download Integrated M.Sc Maths Syllabus (for 2018 entry batch onwards)

Learning Outcomes Based Curriculum for Integrated M.Sc