NDLI: Mathematical Methods in Physics 1 [NOC]

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Aerospace Engineering

Atmospheric Science

Computer Science and Engineering

Civil Engineering

Chemical Engineering

Chemistry and Biochemistry

Electrical Engineering

Electronics & Communication Engineering

Engineering Design

Environmental Science

Humanities and Social Sciences

A Basic Course in Real Analysis

A Primer to Mathematical Optimization [NOC]

A basic course in number theory [NOC]

Advanced Abstract Algebra

Advanced Calculus For Engineers [NOC]

Advanced Complex Analysis - Part 1:Zeros of Analytic Functions,Analytic continuation, Monodromy, Hyperbolic Geometry and the Reimann Mapping Theorem

Advanced Complex Analysis - Part 2: Compactness of Meromorphic Functions in the Spherical Metric, Spherical Derivative, Normality, Theorems of Marty-Zalcman-Montel-Picard-Royden-Schottky

Advanced Computational Techniques [NOC]

Advanced Course on Partial Differential Equations - II [NOC]

Advanced Engineering Mathematics

Advanced Engineering Mathematics [NOC]

Advanced Linear Algebra [NOC]

Advanced Matrix Theory and Linear Algebra for Engineers

Advanced Partial Differential Equations [NOC]

Advanced Partial Differential Equations – (Part I: Distributions and Sobolev Spaces) [NOC]

Advanced Probability Theory [NOC]

Algebra - I [NOC]

Algebra _ II [NOC]

Algebraic Combinatorics [NOC]

Algebraic Topology

An Introduction to Hyperbolic Geometry [NOC]

An Introduction to Riemann Surfaces and Algebraic Curves: Complex 1-Tori and Elliptic Curves

An introduction to Point-Set-Topology Part-I [NOC]

An introduction to Point-Set-Topology Part-II [NOC]

An introduction to smooth manifolds [NOC]

An invitation to Topology [NOC]

An invitation to mathematics [NOC]

Analysis of variance and design of experiment-I

Analysis of variance and design of experiment-II

Applied Linear Algebra in AI and ML [NOC]

Applied Multivariate Analysis

Applied Multivariate Statistical Modeling [NOC]

Approximate Reasoning using Fuzzy Set Theory [NOC]

Basic Algebraic Geometry : Varieties, Morphisms, Local Rings, Function Fields and Nonsingularity

Basic Calculus 1 and 2 [NOC]

Basic Calculus _ 1 [NOC]

Basic Calculus for Engineers, Scientists and Economists [NOC]

Basic Linear Algebra [NOC]

Basic Real Analysis [NOC]

C* algebras and spectral theorem [NOC]

Calculus for Economics,Commerce and Management [NOC]

Calculus of Several Real Variables [NOC]

Calculus of Variations and Integral Equations

Chaotic Dynamical Systems [NOC]

Combinatorics [NOC]

Commutative Algebra [NOC]

Complex Analysis

Complex Analysis [NOC]

Computational Commutative Algebra [NOC]

Computational Mathematics with SageMath [NOC]

Computational Number Theory and Algebra [NOC]

Constrained and unconstrained optimization [NOC]

Convex Optimization

Curves and Surfaces [NOC]

Descriptive Statistics with R Software [NOC]

Differential Calculus in Several Variables [NOC]

Differential equations for engineers [NOC]

Discrete Mathematics

Discrete Mathematics [NOC]

Discrete-time Markov Chains and Poisson Processes [NOC]

Dynamic Data Assimilation: an introduction

Dynamical System and Control [NOC]

Econometric Theory

Elementary Numerical Analysis

Engineering Mathematics - I [NOC]

Engineering Mathematics II [NOC]

Essential Mathematics for Machine Learning [NOC]

Essentials Of Topology [NOC]

Essentials of Data Science With R Software _ 1: Probability and Statistical Inference [NOC]

Essentials of Data Science With R Software _ 2: Sampling Theory and Linear Regression Analysis [NOC]

First Course on Partial Differential Equations - II [NOC]

First Course on Partial Differential Equations _ I [NOC]

Formal Languages and Automata Theory

Foundations of Optimization

Foundations of R Software (In Hindi Language) [NOC]

Foundations of R Software [NOC]

Fourier Analysis

Fourier Analysis and its applications [NOC]

Functional Analysis

Functional Analysis [NOC]

Galois Theory [NOC]

Geometry of Vision

Graph Theory [NOC]

Groups : Motion, symmetry and puzzles [NOC]

Higher Engineering Mathematics [NOC]

Integral Transforms And Their Applications [NOC]

Integral and Vector Calculus [NOC]

Integral equations, calculus of variations and its applications [NOC]

Introduction To Algebraic Geometry [NOC]

Introduction To Rings And Fields [NOC]

Introduction to Abstract Group Theory [NOC]

Introduction to Abstract and Linear Algebra [NOC]

Introduction to Algebraic Geometry and Commutative Algebra [NOC]

Introduction to Algebraic Topology (Part-II) [NOC]

Introduction to Algebraic Topology (Part_I) [NOC]

Introduction to Commutative Algebra [NOC]

Introduction to Fuzzy Set Theory, Arithmetic and Logic [NOC]

Introduction to Galois Theory [NOC]

Introduction to Group Theory [NOC]

Introduction to Lie algebras [NOC]

Introduction to Methods of Applied Mathematics [NOC]

Introduction to Probability (with examples using R) [NOC]

Introduction to Probability Theory

Introduction to Probability Theory and Statistics [NOC]

Introduction to Probability Theory and Stochastic Processes [NOC]

Introduction to Queueing Theory [NOC]

Introduction to R Software [NOC]

Introduction to Statistics [NOC]

Introduction to probability and Statistics [NOC]

Introductory Course in Real Analysis [NOC]

Laplace Transform [NOC]

Linear Algebra [NOC]

Linear Programming Problems

Linear Regression Analysis

Linear Regression Analysis and Forecasting [NOC]

Linear programming and Extensions

Mathematical Finance [NOC]

Mathematical Logic

Mathematical Methods and its Applications [NOC]

Mathematical Methods for Boundary Value Problems [NOC]

Mathematical Methods in Physics 1 [NOC]

Linear vector spaces

Linear vector spaces: immediate consequences

Dot product of Euclidean vectors

Inner product on a Linear vector space

Cauchy - Schwartz inequality for Euclidean vectors

Cauchy - Schwartz inequality for vectors from LVS

Applications of the Cauchy - Schwartz inequality

Triangle inequality

Linear dependence and independence of vectors

Row reduction of matrices

Rank of a matrix

Rank of a matrix: consequences

Determinants and their properties

The rank of a matrix using determinants

Square system of equations

Homogeneous equations

The rank of a matrix and linear dependence

Span, basis, and dimension of a LVS

Gram - Schmidt orthogonalization

Vector subspaces

Linear operators

Inverse of an operator

Adjoint of an operator

Projection operators

Eigenvalues and Eigenvectors

Hermitian operators

Unitary operators

Normal operators

Similarity and Unitary transformations

Matrix representations

Eigenvalues and Eigenvectors of matrices

Defective matrices

Eigenvalues and eigenvectors: useful results

Transformation of Basis

A class of invertible matrices

Diagonalization of matrices

Diagonalizability of matrices

Functions of matrices

Periodic functions

Average value of a function

Piecewise continuous functions

Orthogonal basis: Fourier series

Fourier coefficients

Dirichlet Conditions

Complex Form of Fourier Series

Other intervals: arbitrary period

Even and Odd Functions

Differentiating Fourier series

Parseval's theorem

Fourier series to Fourier transforms

Fourier Sine and Cosine transforms

Parseval's theorem for Fourier series

Ordinary Differential equations

First order ODEs

Linear first order ODEs

Orthogonal Trajectories

Exact differential equations

Special first order ODEs

Solutions of linear first - order ODEs

Revisit linear first - order ODEs

ODEs in disguise

2nd order Homogeneous linear equations with constant coefficients

The use of a known solution to find another

An alternate approach to auxiliary equation

Inhomogeneous second order equations

Methods to find a Particular solution

Successive Integration of two first order equations

Illustrative examples.

Variation of Parameters

Vibrations in mechanical systems.

Forced Vibrations.

Linear Superposition

Laplace Transform (LT)

Basic Properties of Laplace Transforms

Step functions, Translations, and Periodic functions

The Inverse Laplace Transform

Convolution of functions

Solving ODEs using Laplace transforms

The Dirac Delta function

Properties of the Dirac Delta function

Green's function method

Green's function method: Boundary value problem

Power series method

Power series solutions about an ordinary point

Initial value problem: power series solution

Frobenius method for regular singular points

Combined [Full Lectures] Transcript

Mathematical Methods in Physics 2 [NOC]

Mathematical Modelling: Analysis and Applications [NOC]

Mathematical Portfolio Theory [NOC]

Mathematics in India - From Vedic Period to Modern Times

Matrix Analysis with Applications [NOC]

Matrix Computation and its applications [NOC]

Measure Theoretic Probability 1 [NOC]

Measure Theoretic Probability 2 [NOC]

Measure and Integration

Measure and Integration [NOC]

Measure theory [NOC]

Modeling Transport Phenomena of Microparticles [NOC]

Multivariable Calculus [NOC]

NOC:Measure Theory

Non-parametric Statistical Inference [NOC]

Nonlinear programming [NOC]

Numerical Analysis

Numerical Analysis [NOC]

Numerical Linear Algebra [NOC]

Numerical Linear Algebra and Application [NOC]

Numerical Methods: Finite difference approach [NOC]

Numerical Solution of ODEs

Numerical Solution of Ordinary and Partial Differential Equations

Numerical methods [NOC]

Numerical methods of Ordinary and Partial Differential Equations

Operations Research [NOC]

Operator Theory [NOC]

Ordinary Differential Equations

Ordinary Differential Equations and Applications

Ordinary and Partial Differential Equations and Applications [NOC]

Partial Differential Equations

Partial Differential Equations (PDE) for Engineers: Solution by Separation of Variables [NOC]

Partial Differential Equations [NOC]

Point Set Topology [NOC]

Predictive Analytics - Regression and Classification [NOC]

Probabilistic Methods in PDE [NOC]

Probability - II with Examples Using R [NOC]

Probability Theory and Applications

Probability and Distributions

Probability and Statistics

Probability and Statistics [NOC]

Probability and Stochastics for finance [NOC]

Real Analysis I [NOC]

Real Analysis II [NOC]

Regression Analysis

Rings and Modules [NOC]

Sampling Theory

Scientific Computing using Matlab [NOC]

Set Theory and Mathematical Logic [NOC]

Sobolev Spaces and Partial Differential Equations [NOC]

Statistical Inference

Statistical Inference [NOC]

Statistical Methods for Scientists and Engineers

Stochastic Processes

Stochastic Processes - 1 [NOC]

Stochastic Processes [NOC]

Transform Calculus and its applications in Differential Equations [NOC]

Transform Techniques for Engineers [NOC]

Variational Calculus and its applications in Control Theory and Nanomechanics [NOC]

Introduction to Probability Theory and Stochastic Processes (Tamil)

Introduction to Probability & Statistics (in Hindi)

Introduction to Fourier Analysis

Ordinary Differential Equations

Category Theory

Geometry of Curves and Surfaces

Partial Differential Equations

Mathematics for Machine Learning

Advanced Theory of Ordinary Differential Equations

Basics of Nonparametric Tests with Applications by R

Probability Theory for Data Science

Algebra 1: Foundations

EXCELing with Mathematical Modeling

Mechanical Engineering

Mining Engineering

Metallurgy and Material Science

Ocean Engineering

Textile Engineering

Multidisciplinary

Basic courses-Sem 1 and 2

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