Conformal Map & Rouche's Theorem with Problem Solving

Complex Integration: Theorems, Results, and Problem Solving 

Integral Equation & Laplace Theorem with Problem Solving

Fundamental Theory of Arithmetic

Introduction of Group Theory: Sets, Relation & Equivalence class

Congruence relation on Z, Binary operations & Group 

Important Results, Subgroup, Special Types of Group & Dihedral Group

Permutation Group & Order of Group

Order of Group, Abelian Group & Cyclic Group

Group of Possible Order & Group Theory: Problem Solving

Subgroup: Cyclic Group, Non Cyclic Group & Problem Solving

Center of the Group Z(G) & Problem Solving

Centralizer of an Element, Coset, Improper & Proper Normal Subgroup

Symmetric Group & Group Theory: Problem Solving

Group Theory

Field, Minimal Polynomial, Kronecker Theorem, and Types of extension

Fields

Modern Algebra: Permutation, Combination & Problem Solving

Number & Sum of Divisors, Principles of Pigeonhole, and Inclusion & Exclusion 

Permutation & Transposition and Rearrangement & Congruence 

Permutations & Combinations

Invariant/Normal Subgroups - Part I

Invariant/Normal Subgroups - Part II

Invariant/Normal Subgroups - Part III

Invariant/Normal Subgroup

Sylow's I, II & III Theorem & Problem Solving

Sylow Theorems

Symmetric Group/Permutation Group - Part I

Groups Theory

Symmetric Group/Permutation Group - Part II

Symmetric Group or Permutation Group

Conjugate Classes and Class Equations Part I

Conjugate Classes and Class Equations Part II

Class Equations: Introduction

Conjugate Element & Class Equation Part III

Conjugate Classes and Class Equation

Subring, Ideal & Gaussian Ring, and Problem Solving

Polynomial Ring and Problem Solving

Subring and Ideals

PID: Introduction, Theorems, Properties, and Theorem of Number Theory 

GCD, LCM, UFD, and Euclidean Domain

ED Theorem, Polynomial & Quotient Ring, and Homomorphism

Irreducibility of Polynomial: Introduction, Test ,and UFD

Irreducibility of Polynomial: Introduction, Test Co Maximal, and Extension of Field 

ED, PID & UFD

Modern Algebra: Problem Solving - I

Ring Theory, Commutative Ring, Zero Division, Integral Domain & Skew Field

Quadratic Field, PID, Norm on an Integral Domain & Primitive Polynomial

Algebraic Elements & Extension, Splitting Field, and Separable Extension

Modern Algebra: Problem Solving - II

Algebraic Extension of Fields

Sets, Relation & its Types, and Abstract Algebra

Basic Concepts and Definitions

Groups Within Group

Groups within Groups

Sequence, Uniform Convergence & Consequence of Uniform Convergence

Uniform Convergence (Sequence & Series of Function)

Finite & Infinite Groups, and Subgroups

Some Important Groups of Infinite Order

Normal Subgroups, Quotient & Factor Group, and Theorems on Homo-morphisms

Homomorphism & their Counting - Part I

Homomorphism & their Counting - Part II

Homomorphism and their Counting

Function: Lipschitz, Differentiability, and Problem Solving

Differentiability

Differentiability: Introduction, Cauchy Mean Value Theorem & PYQs

Reimann Integration & Bounded Variation and Improper Integral

Real Analysis: D'alembert Ratio test & Problem Solving

Real Analysis: Cauchy nth Root & Integral Test, Definitions, and Series

Continuity

Degree of a Polynomial, GCD & LCM of Polynomial, and Polynomial Ring

Ring of Polynomials

Maximal & Prime Ideals, and Some important structures: Problem solving

Some Important Structures

Algebra

Mathematical Sciences

Crack CSIR NET by studying MATHEMATICS, PHYSICS, LIFE SCIENCE, CHEMISTRY, EARTH SCIENCE on one online platform. Everything you need to crack JRF.

CSIR-UGC NET

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

In this course, Ravi Mittal will cover the important topics of Group Theory. This course would be helpful for aspirants preparing for the CSIR-UGC NET exam. Learners at any stage of their preparations will be benefited from the course. The course will be covered in Hindi and notes will be provided in English. The course will be completed approximately in 20 days, comprising 20 classes with a duration of 120 minutes each.

Detailed Course on Group Theory - CSIR UGC NET

Ravi Mittal will cover the important topics of Number Theory. This course would be helpful for aspirants preparing for the CSIR-UGC NET exam. The course consists of 7 classes over a period of 7 days approx., with a duration of 120 minutes each. The sessions will be conducted in Hinglish and notes will be provided in English.

Detailed Course on Number Theory

In this course, Ravi Mittal will cover the important topics of Group Theory and Ring Theory. This course would be helpful for aspirants preparing for the CSIR-UGC NET exam. Learners at any stage of their preparations will be benefited from the course. The course will be covered in Hindi and notes will be provided in English. The course will be completed approximately in 15 days, comprising 20 classes with a duration of 120 minutes each.

Detailed Course on Modern Algebra - CSIR UGC NET

In this course, Gajendra Purohit will cover Group Theory. All the important topics will be discussed in detail and would be helpful for all aspirants preparing for the CSIR NET & GATE exam. Learners at any stage of their preparation would be benefited from the course. The course will be completed in 20 days, comprising 16 classes with a duration of 90 minutes each. The course will be taught in Hindi and notes will be provided in English.

Detailed Course on Group Theory for CSIR NET, 2023

In this course, Sagar Surya will cover the topics on CSIR UGC NET Mathematics for unit 2 of the syllabus. Class dates along with topic details are given below. The course will be covered in Hindi and the notes will be provided in English.

Detailed Course on Mathematical Sciences: Unit 02 - CSIR UGC NET

In this course, Ravi Mittal will discuss the basics of the Mathematical Sciences. The course will be helpful for aspirants preparing for CSIR-UGC NET. Learners at any stage of their preparation will be benefited from the course. The course will be completed in 10 days, comprising 10 classes with a duration of 120 minutes each. The course will be covered in Hindi and the notes will be provided in Hindi.

Comprehensive Course on Mathematics Basics - CSIR-UGC NET

In this session Sagar Surya will discuss problems on the concepts of Modern Algebra. The classes will be discussed in Hindi and notes will be provided in English.

Complete Course on Modern Algebra for CSIR NET July 2025

In this course, Gajendra Purohit will cover Group Theory for CSIR NET' 23. All the important topics will be discussed in detail and would be helpful for all aspirants preparing for the CSIR NET & GATE exam. Learners at any stage of their preparation would be benefited from the course. The course will be completed in 17 days, comprising 11 classes with a duration of 90 minutes each. The course will be taught in Hindi and notes will be provided in English.

Algebra

Chapters

Courses

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Fundamental Theory of Arithmetic

Practice

Group Theory

Notes

Practice

Fields

Practice

Permutations & Combinations

Invariant/Normal Subgroup

Sylow Theorems

Symmetric Group or Permutation Group

Conjugate Classes and Class Equation

Subring and Ideals

ED, PID & UFD

Algebraic Extension of Fields

Basic Concepts and Definitions

Groups within Groups

Uniform Convergence (Sequence & Series of Function)

Some Important Groups of Infinite Order

Homomorphism and their Counting

Differentiability

Reimann Integration & Bounded Variation and Improper Integral

Continuity

Ring of Polynomials

Some Important Structures

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