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Index

Sets

Relations

Functions

Complex Number

Determinants

Group Theory

Ring Theory

Field Theory

Polynomials

Sequence

Series

Some important series

Matrices

All Exams > Mathematics > Algebra for IIT JAM Mathematics > All Videos

All videos of Algebra for IIT JAM Mathematics

Sets

Venn Diagrams

05:51 min

Operations on Sets

09:25 min

Set Theory - 2

55:18 min

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Relations

Introduction to Relations

07:39 min

Types of Relations- 1

06:38 min

Types of Relations- 2

04:21 min

Representation of Functions

17:49 min

Algebra of Real Functions

05:26 min

Binary Operations

07:46 min

Relations and Functions

19:30 min

Functions

Introduction to Functions

11:34 min

Types of Functions

05:51 min

Composition of Functions and Invertible Function

16:33 min

Cartesian Product of Sets

05:11 min

Relations and Functions

19:30 min

Relations and Functions - 2

51:55 min

Complex Number

Basics of Complex Numbers

03:36 min

Modulus and Conjugate of a Complex Number

02:04 min

Polar Form of Complex Number

25:50 min

Argand Plane

07:28 min

Operations on Complex Numbers

06:07 min

Problems for Practice - Complex Numbers

12:55 min

Complex Numbers - 1

53:17 min

Determinants

Determinant of a Matrix

20:15 min

Area of a Triangle Using Determinants

02:24 min

Determinants -1

59:10 min

Determinants - 9

59:10 min

Matrix and Determinant - 1

56:35 min

Matrix and Determinant - 2

58:46 min

Matrix and Determinant - 3

62:49 min

Matrix and Determinant - 4

59:03 min

Matrix and Determinant - 5

56:38 min

Group Theory

Concept of Subgroup

30:22 min

Cyclic Group

21:47 min

Permutation Group

34:00 min

Properties Of Cyclic Group

24:24 min

Normal Subgroup

25:50 min

Quotient Group

11:08 min

Concept of Homomorphism

25:48 min

Cayley’s Theorem

23:30 min

Class Equations

14:46 min

Set Operations

26:32 min

Set Operations - 2

28:07 min

Set Theory

26:37 min

Set of sets

26:54 min

Equivalence relation

29:31 min

Binary relation

29:10 min

Explanation: Mapping

28:08 min

Explanation: Permutation

30:35 min

Binary Composition

26:25 min

Explanation: Groupoid

26:30 min

Explanation: Group

27:30 min

Order of an element

27:34 min

Explanation: Subgroup

28:31 min

Cyclic Group

30:58 min

Subgroup Operations

28:23 min

Left Cosets

28:59 min

Right Cosets

26:10 min

Normal Subgroup

32:11 min

Ring Theory

Ideals of Ring- Examples

16:00 min

Ideals of Ring- Theorems

18:46 min

Prime Ideals

13:01 min

Maximal Ideals

15:25 min

Unique Factorization Domain

11:08 min

Principal Ideal Domain

18:27 min

Euclidean Domain

17:11 min

Introduction, Main definitions

31:37 min

Examples of Rings

32:44 min

Polynomial rings -1

31:25 min

More Examples of Rings

32:52 min

Polynomial rings -2

20:25 min

Explanation: Homomorphisms

31:10 min

Kernels, ideals

26:44 min

Problems 1

32:03 min

Problems 2

31:55 min

Problems 3

33:33 min

Problems 4

31:38 min

Problems 5

32:25 min

Problems 6

38:16 min

Quotient rings

36:53 min

Examples of correspondence theorem

31:09 min

Prime ideals

30:31 min

First isomorphism and correspondence theorems

32:17 min

Existence of maximal ideals

30:52 min

Maximal ideals, integral domains

33:27 min

Field of fractions, Noetherian rings 1

34:16 min

Noetherian rings 2

32:43 min

Field Theory

Definition & Example of Field

19:11 min

Finite Fields - Field Theory

51:15 min

Hilbert Basis Theorem

40:25 min

Irreducible, prime elements, GCD

26:29 min

Irreducible, prime elements

30:24 min

Principal Ideal Domains

28:05 min

Unique Factorization Domains 1

34:55 min

Unique Factorization Domains 2

34:18 min

Gauss Lemma

34:04 min

Eisenstein Criterion and Problems - 1

46:22 min

Eisenstein Criterion and Problems - 2

35:44 min

Eisenstein Criterion and Problems - 3

39:53 min

Z[X] is a UFD

36:27 min

Field extensions 1

36:57 min

Field extensions 2

34:33 min

Degree of a field extension 1

31:18 min

Degree of a field extension 2

38:40 min

Algebraic elements form a field

27:42 min

Field homomorphisms

28:33 min

Splitting fields

37:05 min

Finite fields 1

28:51 min

Finite fields 2

42:19 min

Finite fields 3

28:06 min

Polynomials

Degree of Polynomial

04:05 min

Polynomial and its Types

03:34 min

Remainder Theorem

25:14 min

Value of Polynomial and Division Algorithm

11:00 min

Sequence

Sequence: Definition & Examples

09:39 min

Cauchy First Theorem of Sequence

09:08 min

Limit of a Sequence

18:36 min

Squeeze Theorem

10:43 min

Sequences - 1

34:20 min

Sequence - 2

43:28 min

Infinite Series - 1

29:12 min

Infinite series - 2

31:28 min

Taylors Theorem, other issues and end of the course-I

38:23 min

Taylors Theorem, other issues and end of the course-II

39:32 min

Series

Introduction to Series

16:18 min

Convergence/Divergence Of Series

28:17 min

Some important series

Power Series

06:48 min

Power Series And Functions

08:30 min

Taylor Theorem- 1

17:56 min

Taylor Theorem- 2

10:09 min

Binomial Series

45:13 min

Maclaurin Theorem- 1

18:55 min

Maclaurin Theorem- 2

18:24 min

Matrices

Properties of Matrix Addition

16:34 min

Properties of Scalar Multiplication

12:52 min

Matrices - Scalar Multiplication

03:34 min

Multiplication of Matrices- 1

05:31 min

Multiplication of Matrices- 2

05:19 min

Multiplication of Matrices Property- 1

04:31 min

Multiplication of Matrices Property- 2

11:39 min

Multiplication of Matrices Property- 3

08:54 min

Concept of Transpose

05:28 min

Transpose Property- 1

04:42 min

Transpose Property- 2

06:18 min

Transpose Property- 3

04:15 min

Transpose Property- 4

11:02 min

Rank of a matrix

36:28 min

Elementary row operations

47:35 min

Echelon form of a matrix

22:55 min

Introduction to Vector Spaces

40:51 min

Explanation: Subspaces

39:06 min

System of Linear Equations-II

34:59 min

Basis and Dimension

30:47 min

Rank and Nullity

33:32 min

Linear Transformations

38:41 min

Inverse of a Linear Transformation

30:44 min

Eigenvalues and Eigenvectors

38:11 min

Matrix Associated with a LT

24:23 min

Cayley-Hamilton Theorem and Minimal Polynomial

34:59 min

Special Matrices

27:42 min

Explanation: Diagonalization

35:25 min

Algebra for IIT JAM Mathematics

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Video lectures for Algebra for IIT JAM Mathematics 2023 is part of Mathematics exam preparation. The videos have been prepared according to the Mathematics exam syllabus. The Video lectures, notes, tests & MCQs are made for Mathematics 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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