# Integrated B.Sc. - M.Sc. (Mathematics) (for Boys and Girls)

#### (Exit option with B.Sc. Degree after 6th Semester)

PROGRAM OVERVIEW

Duration:
FIVE Years - TEN Semesters

Eligibility:
10+2 any stream with 50% marks.

COURSE STRUCTURE
Subject to Approval by the Academic council.
Semester 1
Communicative English
Language Paper I
Calculus
Discrete Structures
Problem Solving and Computer Programming
Introduction to Management and Finance
Cultural Education I
Problem Solving and Computer Programming Lab
PC Software Lab
Semester 2
Professional Communication
Language Paper II
Real Analysis
Groups and Rings
Basics of Accounting
Accounting Lab
Semester 3
Rings, Vector Spaces and Fields
Real Analysis in Higher Dimension
Vector Calculus
Differential Equations
Statics
Environmental Science and Sustainability
Life Skills I
Amrita Values Programme I
Semester 4
Linear Algebra
Probability and Statistics
Numerical Methods
Fourier Series and Integral Transforms
Dynamics
Open Elective A*
Life Skills II
Amrita Values Programme II
Numerical Methods Lab (MAT Lab)
Semester 5
Operations Research
Applied Statistics
Basic Graph Theory and Combinatorics
Complex Analysis
Number Theory
Live-in-Labs# / Open Elective B*
Life Skills III
Statistics Lab
Semester 6
Optimization Theory
Topology
Special Functions
Formal Languages and Automata Theory
Calculus of Variations
Seminar
Project (for Exit-option students)
Semester 7
Ordinary Differential Equations
Stochastic Process
Elective I
Mathematics Lab
Semester 8
Partial Differential Equations
Measure Theory
Numerical Analysis
Numerical Computations Lab
Semester 9
Functional Analysis
Basic Fluid Dynamics
Elective II
Elective III
Seminar
Semester 10
Operator Theory
Elective IV
Dissertation
Electives
Algebra Stream
Algebraic Geometry
Algebraic Topology
Coding Theory
Commutative Algebra
Lie Algebra
Theory of Manifolds
Linear Algebra and its Applications
Statistics Stream
Queuing Theory and Inventory Control Theory
Random Process
Statistical Pattern Classifications
Statistical Quality Control and Six Sigma Quality Analysis
Theory of Sampling and Design of Experiments
Time Series Analysis
Computer Stream
Data Structures and Algorithms
Computer Aided Design of VLSI Circuits
Cryptography
Fuzzy Sets and its Applications
Introduction to Soft Computing
Object-Oriented Programming and Python
Analysis Stream
Fixed Point Theory
Fractals
Harmonic Analysis
Nonlinear Partial Differential Equations
Wavelet Analysis
Mathematical Physics
Fluid Mechanics Stream
Computational Fluid Dynamics
Finite Element Methods
Magneto-Hydro Dynamics
Mathematical Foundations of Incompressible Fluid Flow

* Two Open Elective courses are to be taken by each student, one each in the 4th and the 5th semesters, from the list of Open Electives offered by the School.

# Students undertaking and registering for a Live-in-Lab project, can be exempted from registering for an Open Elective course in the fifth semester.

Electives listed above are only indicative. Actual Offering will depend on the number of students registering for the courses and availability of faculty.

School Administration reserves the right to modif y the subjects / curriculum / detailed syllabus as per the topical needs or changes in trends of the academic stream or industry requirements.

* One of the electives can be a Live-inlabs project done over a period of two semesters.