NDLI: Algebra - I [NOC]

Please wait, while we are loading the content...

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]

Order and Conjugacy

Group Homomorphisms

Normal subgroups

Product and Chinese Remainder Theorem

Dihedral Groups

Semidirect products

The Orbit Counting Theorem

Fixed points of group actions

Second application: Fixed points of group actions

Sylow Theorems - a preliminary proposition

Sylow Theorem I

Problem solving II

Sylow Theorem II

Sylow Theorem III

Problem solving I

Free Groups IIa

Free Groups IIb

Free Groups III

Problem Solving/Examples

Generators and relations for symmetric groups - I

Generators and relations for symmetric groups - II

Definition of a Ring

Euclidean Domains

Gaussian Integers

The Fundamental Theorem of Arithmetic

Divisibility and Ideals

Factorization and the Noetherian Condition

Examples of Ideals in Commutative Rings

The Ring of Formal Power Series

Fraction Fields

Path Algebra of a Quiver

Ideals In Non - Commutative Rings

Product of Rings

Ring Homomorphisms

Problem solving

Tensor and Exterior Algebras

Modules : definition

Modules over polynomial rings $K [x]$

Modules over polynomial rings $K[x]$

Modules: alternative definition

Modules: more examples

General constructions of submodules

Problem - Solving

Quotient modules

More examples of homomorphisms

First isomorphism theorem

Direct sums of modules

Complementary submodules

Free Modules (finitely generated)

Primary Decomposition

Finitely generated modules and the Noetherian condition

Counterexamples to the Noetherian condition

Generators and relations for Finitely Generated Modules

General Linear Group over a Commutative Ring

Equivalence of Matrices

Smith Canonical Form for a Euclidean domain

solved_problems1

Smith Canonical Form for PID

Structure of finitely generated modules over a PID

Structure of a finitely generated abelian group

Similarity of Matrices

Deciding Similarity

Rational Canonical Form

Jordan Canonical Form

Live Session: 2021-08-20

Live Session: 2020-09-25

Live Session: 2020-10-16

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]

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

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in