Open Course Ware: Course Archives (syllabus,notes, past exams) and Notes on Special Topics
    B.Math I Year     B.Math II Year     B.Math III Year     M.Math I Year     M.Math II Year     MSQMS I Year     MSQMS II Year     MSLIS I Year     MSLIS II Year     Notes on Special Topics
B.Math (Hons.) I Year effective from 2021-22 [Top]
Real Analysis I
Probability I
Linear Algebra I
Elementary Number Theory
Fundamentals of Computing and Programming
Real Analysis II
Probability II
Linear Algebra II
Introduction to Statistics and Computation with Data
Numerical Computing
B.Math (Hons.) II Year [Top]
Analysis of Several Variables
Group Theory
Introduction to Statistical Inference
Classical Mechanics
Discrete Mathematics I
Rings and Modules
Ordinary Differential Equations
Introduction to Linear Models and Regression
B.Math (Hons.) III Year [Top]
Field and Galois Theory
Probability II
Function Spaces
Design and Analysis of Algorithms
Complex Analysis
B.Math (Hons.) I Year [Top]
Algebra I
Algebra II
Analysis I
Analysis II
Computer Science I
Physics I
Probability Theory I
Probability Theory II
Writing of Mathematics

B.Math (Hons.) II Year [
Algebra III
Algebra IV
Analysis III
Computer Science II
Graph Theory
Physics II
Statistics I
Statistics II

B.Math (Hons.) III Year [
Algebraic Geometry
Analysis IV
Combinatorics & Graph Theory
Complex Analysis
Computer Science III
Computer Science IV
Differential Equations
Differential Geometry I
Differential Geometry II
Economics I
Introduction to Algebraic Number Theory
Introduction to Differential Topology
Introduction to Stochastic Processes (Probability III)
Mathematics of Computation
Mathematical Morphology and Applications
Physics IV
Physics III
Representation Theory
Statistics III
Statistics IV
Statistics V

M. Math I Year effective from 2021-22 [
Measure Theory
Linear Algebra
Algebra I
Topology I
Analysis of Several Variables
Complex Analysis
Functional Analysis
Topology II
Algebra II
Number Theory

M. Math I Year [
Algebra I
Algebra II
Analysis of Several Variables
Complex Analysis
Differential Geometry I
Functional Analysis
Linear Algebra
Measure Theoretic Probability
Topology I
Topology II

M. Math II Year [
Advanced Functional Analysis
Advanced Number Theory
Advanced Probability
Algebraic Geometry
Algebraic Number Theory
Basic Probability Theory
Commutative Algebra I
Compact Riemann Surfaces
Data Structures and Algorithms
Differential Geometry II
Differential Topology
Ergodic Theory
Fourier Analysis
Graph Theory and Combinatorics
Introduction to Elliptic Curves and Modular forms
Lie Groups & Lie Algebra
Markov Chains
Number Theory
Operator Theory
Partial Differential Equations
Quantum Mechanics II
Random walk on graphs
Random Graphs and Limits
Simple Groups and Geometry
Statistical Learning Theory
Stochastic Processes
Theory of Large Deviations
Topics in Discrete Probability
Topics in Gaussian Processes
Topology III
Topology IV

MSQMS I Year [

Applied Regression Analysis
Capability Maturity Models
Data Base Management
Game Theory
Industrial Experimentation
Markov Analysis & Modelling
Multivariate Data Analysis
Management Information System
Marketing Research
Neural Network
Operations Research I
Operations Research II
Project Management
Pattern Recognition
Reliability Maintainability & Safety I
Reliability Maintainability & Safety II
Statistics for Decision Making I
Statistics for Decision Making II
Statistical Process Control I
Statistical Process Control II

Nonlinear Programming & Dynamic Programming
Quality Audit
Supply Chain Management
Software Reliability
Six Sigma
Support Vector Machines
Total Quality Management
Trouble Shooting & Problem Solving

MSLIS I Year [
Foundations of Library & Information Science
Information Organization
Cataloguing & Metadata
Library Management & Library Automation
Foundations of Computers & Information Technology
Elements of Mathematics I
Information Sources Systems & Services
Elements of Statistics & Research Methodology
Digital Libraries
Data Structures & Computer Programming
Elements of Mathematics II

Information Storage Retrieval & DBMS
Content Management Systems
Informetrics & Scientometrics
Web Technology & Web-based Information Services
Networking Technology & Library Networks
Knowledge Management
Semantic Web
Data & Text Mining

Ph.d. Courses [
Algebra I
Analysis I
Topology I

Notes on Special Topics [
Author: Arup Pal
  • K-Theory notes

    Author: V. Pati
  • Basic Algebraic Geometry
  • Elliptic Complexes and Index Theory
  • Notes on Intersection Homology
  • Notes on Riemannian Geometry
  • Hilbert's Nullstellensatz and the beginning of Algebraic Geometry
  • Some basic facts about Algebraic curves
  • Punctured Plane
  • Mobius Strip
  • Quaternions And Rotations in 3 - Space

    Author: K. Rama Murthy (Please visit for lecture notes, problem collections etc.)
  • Infinitely Divisible and Stable Distributions
  • Fixed Point Theorems
  • Problems in Complex Analysis
  • Caratheodory
  • Compactness
  • Distributions
  • Fourier
  • Functional Analysis
  • Measure Theory
  • Vector Measures
  • Gamma Zeta
  • Passwords
  • Problems In Real Analysis
  • Uncertainity Principle
  • Ergodic Theory
  • Stone Weierstrass Theorem
  • Gelfand Naimark Theorem
  • Fourier Analysis On Groups
  • Anti Calculus Theorem
  • Jordan Curve Theorem
  • RADOs Theorem

    Author: S.Ramasubramanian
  • Brownian Motion
  • Diffusions and the Martingale Problem of Stroock and Varadhan
  • Some Aspects of Large Deviations
  • Stochastic Differential Equations with Constant Dispersion
  • Poisson Processes and Insurance: an introduction
  • Large Deviations: an introduction to the Abel prize

    Author: S.M. Srivastava
  • Classical Descriptive Set Theory
  • Forcing Relative Consistency of ZFC+GCH
  • Constructible Sets

    Author: B. Sury
  • Very basic group theory.
  • Very basic algebraic number theory
  • Lectures on commutative ring theory.
  • Ramanujan's route to roots.
  • Congruence subgroup problem.
  • Existence and uniqueness of groups for root data.
  • Primes and Riemann Hypothesis.
  • Algorithms in algebraic number theory.
  • Bringing the inner product out
  • Leaving no Stone unturned.
  • Public key cryptography and elliptic curves.
  • The prime ordeal.
  • (with A.Raghuram) Groups acting on trees.
  • Absolute values and completions in brief.
  • Elliptic curves over finite fields.
  • (with D.S.Nagaraj) A quick introduction to algebraic geometry and elliptic curves.
  • (with D.S.Nagaraj) Mordell-Weil theorem.
  • Combinatorial group theory.
  • Polynomials with integer values.
  • (with B.K.Sahoo) What is the Burnside problem ?.


  • [Indian Statistical Institute]