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

Sets, Relation & its Types, and Abstract Algebra

Basic Concepts and Definitions

Invariant/Normal Subgroups - Part I

Invariant/Normal Subgroups - Part II

Invariant/Normal Subgroups - Part III

Invariant/Normal Subgroup

Function: Lipschitz, Differentiability, and Problem Solving

Differentiability

Differentiability: Introduction, Cauchy Mean Value Theorem & PYQs

Reimann Integration & Bounded Variation and Improper Integral

Symmetric Group/Permutation Group - Part I

Groups Theory

Symmetric Group/Permutation Group - Part II

Symmetric Group or Permutation Group

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

Ring of Polynomials

Subring, Ideal & Gaussian Ring, and Problem Solving

Polynomial Ring and Problem Solving

Subring and Ideals

Sequence, Uniform Convergence & Consequence of Uniform Convergence

Uniform Convergence (Sequence & Series of Function)

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

Groups Within Group

Groups within Groups

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

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

Sylow Theorems

Real Analysis: D'alembert Ratio test & Problem Solving

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

Continuity

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

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

Some Important Structures

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

Algebra

Mathematical Sciences

CSIR-UGC NET

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

In this course, Gajendra Purohit will cover Pure Mathematics for CSIR NET. All the important topics will be discussed in detail and would be helpful for aspirants preparing for the CSIR 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.

Foundation Course on Pure Mathematics for CSIR NET

In this course, Ravi Mittal will cover Mathematics. All the important topics will be discussed in detail and 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 also be provided in English.


Detailed Course on Mathematics

In this course, Gajendra Purohit will cover Algebra for CSIR NET 21 Mathematics. All the important topics will be discussed in detail and would be helpful for aspirants preparing for the CSIR 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.

Detail Course on Algebra for CSIR NET 21

In this course, Gajendra Purohit will cover Mathematics for CSIR 2021. The course includes 20 sessions of 90 minutes each. All the important topics will be discussed in detail and would be helpful for aspirants preparing for the CSIR 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.

Foundation Course on Mathematics for CSIR 2021

In this course, Gajendra purohit will cover Number Theory, Topology & Matric Space. All the important topics will be discussed in detail and 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 the notes will be provided in English.

Capsule Course on Number Theory, Topology & Matric Space

In this course, Gajendra Purohit will cover the topic of Ring Theory in detail for CSIR-UGC NET 21. All important topics will be discussed which would be helpful for aspirants preparing for the CSIR 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.

Detailed Course on Ring Theory for CSIR-UGC NET 21

In this course, Gajendra Purohit will cover Mathematics.  All the important topics will be discussed in detail and would be helpful for aspirants preparing for the CSIR 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.

Crash Course on Mathematics for CSIR NET

In this course, Dr. Gajendra Purohit will provide in-depth knowledge of Mathematics. The course includes 80 sessions of 90 minutes each. All the important topics such as Real Analysis, Linear Algebra, Complex Analysis, Algebra, ODE, PDE, Integral Equation, Calculus Of Variation, NA, etc will be discussed in detail and would be helpful for aspirants preparing for the CSIR NET exam. Learners at any stage of their preparations will be benefited by the course. The course will be covered in Hindi and notes will be provided in English.

Complete Course on Mathematics

In this course, Gajendra Purohit will cover Crash Course on Modern Algebra For CSIR NET Mathematics. All the important topics will be discussed in detail and would be helpful for aspirants preparing for the CSIR 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.

Crash Course on Modern Algebra for CSIR NET

English

Syllabus Topic Chapters Page

Doubt Clearing Session

Mega Quiz

Important Concepts of Complex Analysis Part - II

Modern Algebra Important Topics Part-IV

Ring Theory - Part VIII and Doubt Clearing Session

Matric Space - Part II

Group Theory - Part XIV

Modern Algebra Important Topics - Part V

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

Gajendra Purohit

Ravi Mittal

Algebra

Chapters

Courses

Fundamental Theory of Arithmetic

Group Theory

Practice

Fields

Permutations & Combinations

Basic Concepts and Definitions

Invariant/Normal Subgroup

Differentiability

Reimann Integration & Bounded Variation and Improper Integral

Symmetric Group or Permutation Group

Ring of Polynomials

Subring and Ideals

Uniform Convergence (Sequence & Series of Function)

Algebraic Extension of Fields

Groups within Groups

Some Important Groups of Infinite Order

Homomorphism and their Counting

Sylow Theorems

Continuity

Conjugate Classes and Class Equation

Some Important Structures

ED, PID & UFD

More courses

Detailed Course on Ring Theory for CSIR-UGC NET 21

Gajendra Purohit

Foundation Course on Mathematics for CSIR 2021

Gajendra Purohit

Foundation Course on Pure Mathematics for CSIR NET

Gajendra Purohit

Detail Course on Algebra for CSIR NET 21

Gajendra Purohit

Crash Course on Mathematics for CSIR NET

Gajendra Purohit

Capsule Course on Number Theory, Topology & Matric Space

Gajendra Purohit

Detailed Course on Mathematics

Ravi Mittal

Crash Course on Modern Algebra for CSIR NET

Gajendra Purohit

Complete Course on Mathematics

Gajendra Purohit

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