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]

Elementary Number Theory Fundamentals of Computing and Programming Introduction to Statistics and Computation with Data Linear Algebra I Linear Algebra II Numerical Computing Probability I Probability II Real Analysis I Real Analysis II

B.Math (Hons.) II Year [Top]

Analysis of Several Variables Classical Mechanics Discrete Mathematics I Electrodynamics Group Theory Introduction to Linear Models and Regression Introduction to Statistical Inference Ordinary Differential Equations Rings and Modules Topology

B.Math (Hons.) III Year [Top]

Algebraic Geometry Algebraic Topology Analysis on Graphs Commutative Algebra Complex Analysis Data Structures and Algorithms Design and Analysis of Algorithms Differential Geometry and Lie Groups Differential Topology Economics I Field and Galois Theory Function Spaces Games, Graphs and Algebra Geometric Group Theory Geometry Information Theory Introduction to Stochastic Processes Optimization Probability III Representation Theory of Finite Groups Special Topics: Harmonic Analysis

B.Math (Hons.) I Year effective until 2020-21 [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 [Top]

Algebra III Algebra IV Analysis III Computer Science II Graph Theory Optimisation Physics II Statistics I Statistics II Topology

B.Math (Hons.) III Year [Top]

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 Topics in Applied Stochastic Processes

M. Math I Year effective from 2021-22 [Top]

Algebra I Algebra II Analysis of Several Variables Complex Analysis Functional Analysis Linear Algebra Measure Theory Number Theory Topology I Topology II

M. Math II Year [Top]

Advanced Linear Algebra Algebraic Geometry Algebraic Number Theory Analytic Number Theory Commutative Algebra I Differential Geometry I Differential Topology Elliptic Curves Fourier Analysis Graph Theory and Combinatorics Markov Chains Partial Differential Equations Probability Theory Representation Theory of Finite Groups Special Topics - Class Field Theory Special Topics - Geometry: Harmonic maps Special Topics - Quantitative Finance Special Topics - Computer Science IV Special Topics - Vector Bundles and Characteristic classes Topics in Discrete Probability Topology III

M. Math I Year effective until 2020-21 [Top]

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 [Top]

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 [Top]

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

MSQMS II Year [Top]

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

MS LIS I Year effective from 2021-22 [Top]

Foundations of Library and Information Science Information Organisation Cataloguing and Metadata Information Sources, Systems and Services Foundations of Information and Communications Technology (ICT) Library Management and Automation Digital Libraries Knowledge Management Elements of Mathematics and Statistics Colloquium and Study of Subject

MSLIS II Year [Top]

Information Retrieval Content Management Systems Data Management Research Methodology and Technical Writing Seminar Scientometrics and Informetrics Web Based Information Systems and Services Semantic Web Geographic Information System Health Informatics Data and Text Mining

MSLIS I Year effective until 2020-21 [Top]

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

MSLIS II Year [Top]

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 [Top]

Algebra I Analysis I Topology I

Notes on Special Topics [Top]

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 statmathbc.wordpress.com 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 ?. [Top]

[Indian Statistical Institute]