All videos of Mathematics for IIT JAM, CSIR NET, UGC NET

Set Operations - 1

26:32 min

Set Theory

26:32 min

Set Theory

26:37 min

Set Operations - 2

28:07 min

Set of sets

26:54 min

Binary Composition

26:25 min

Binary relation

29:10 min

Equivalence relation

29:31 min

Explanation: Mapping

28:08 min

Explanation: Permutation

30:35 min

Explanation: Group

27:30 min

Explanation: Groupoid

26:30 min

Explanation: Subgroup

28:31 min

Order of an element

27:34 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

Explanation: Rings

32:44 min

Vector Spaces

27:12 min

Explanation: Field

28:50 min

Linear Span

29:02 min

Sub - Spaces

29:11 min

Basis of a Vector Space

34:00 min

Dimension of a Vector space

34:51 min

Complement of subspace

28:48 min

Linear Transformation - 1

28:05 min

Linear Transformation - 2

34:24 min

More on linear mapping

28:58 min

Rank of a Matrix - 1

27:36 min

Rank of a Matrix - 2

29:59 min

Linear Space

32:36 min

System of linear equations

30:04 min

Similar matrices

26:53 min

Row rank and Column rank

29:56 min

Eigen value of a matrix

28:00 min

Eigen Vector

26:47 min

Geometric multiplicity

26:01 min

More on eigen value

26:10 min

Explanation: Diagonalisable

27:55 min

Sequences and Series

20:50 min

Sequences and Series: Convergence Tests

17:04 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 - 1

38:23 min

Taylors Theorem - 2

39:32 min

Continuity and Differentiability: Important formulae

10:40 min

Differentiability: Theorems & Proofs

11:06 min

Definition & Examples Of Continuity

15:07 min

Course Introduction - Basic Calculus 1

09:13 min

The Real Line - 1

25:02 min

The Real Line - 2

14:29 min

Absolute Value - 1

21:43 min

Absolute Value - 2

18:20 min

Functions - 1

25:46 min

Functions - 2

21:05 min

Transcendental and Trigonometric Functions - 1

24:59 min

Transcendental and Trigonometric Functions - 2

15:57 min

Limits of Functions - 1

21:06 min

Limits of Functions - 2

14:50 min

Algebra of limits - 1

24:11 min

Algebra of limits - 2

20:40 min

One-sided limits - 1

22:54 min

One-sided limits - 2

17:07 min

Continuity - 1

25:13 min

Infinite limits - 1

27:13 min

Limits at infinity - 2

14:57 min

Continuity - 1

22:49 min

Infinite limits - 2

23:46 min

Continuity - Part 2

21:23 min

Algebra of continuous functions - 1

16:11 min

Algebra of continuous functions - 2

16:47 min

Results on continuity - 1

25:30 min

Results on continuity - 2

19:48 min

Differentiability - 1

25:01 min

Differentiability - 2

23:21 min

Derivative and tangent - 1

23:07 min

Derivative and tangent - 2

13:26 min

Rules of differentiation - 1

28:11 min

Differentiation exercises - 1

24:35 min

Rules of differentiation - 2

18:44 min

Maxima and minima - 1

22:13 min

Differentiation exercises - 2

20:11 min

Maxima and minima - 2

23:30 min

Rolle’s theorem and mean value theorem - 1

18:58 min

Rolle’s theorem and mean value theorem - 2

14:02 min

Riemann Integral: Upper & Lower Darboux Sum

12:04 min

Improper Integrals: Convergence

15:36 min

Derivative of a Function

31:44 min

Rules of Differentiation

37:48 min

Maxima and Minima

34:58 min

Rolle's Theorem and Lagrange Mean Value Theorem

34:17 min

Newton's Method for solving Equations

35:05 min

Monotonic Functions and Inverse Functions

35:49 min

Optimization Problems

31:51 min

Integration-II : In the spirit of Newton and Leibnitz

37:20 min

Integration-I : In the style of Newton and Leibnitz

44:49 min

Integration-III : Newton and Leibnitz Style

58:40 min

Integration theory of Riemann-I

42:13 min

Fundamental Theorem of Calculus (in Riemann style)

25:33 min

Integration theory of Riemann-II

30:23 min

Integration Rule

33:43 min

Calculating Indefinite Integrals

31:51 min

Improper Integral-I

31:52 min

Improper Integral-II

41:03 min

Application of Definite Integral-I

32:05 min

Application of definite Integral-II

35:08 min

Application of definite Integral-III

29:59 min

Application of definite Integral-III

37:58 min

Numerical Integration-I

32:00 min

Numerical Integration-II

26:58 min

Monotonic Functions

05:06 min

Rational Numbers and Rational Cuts

52:37 min

Irrational numbers, Dedekind's Theorem

54:42 min

Continuum and Exercises - 1

56:11 min

Continuum and Exercises - 2

55:00 min

Cantor's Theory of Irrational Numbers - 1

53:08 min

Cantor's Theory of Irrational Numbers - 2

55:06 min

Equivalence of Dedekind and Cantor's Theory

54:37 min

Various properties of open set, closure of a set

55:20 min

Types of Sets with Examples, Metric Space

55:02 min

Finite, Infinite, Countable and Uncountable Sets of Real Numbers

55:18 min

Ordered set, Least upper bound, greatest lower bound of a set

56:22 min

Compact Sets and its properties

55:44 min

Weiersstrass Theorem, Heine Borel Theorem, Connected set

56:08 min

Tutorial - Cantor Set

56:13 min

Function Of Several Variable

54:46 min

Gradient of a Scalar Field & Directional Derivative

20:47 min

Derivative as a Linear Transformation

16:10 min

Inverse & Implicit Function Theorem

36:28 min

Engineering Mathematics-I

02:25 min

Rolle's Theorem

28:17 min

Mean Value Theorems

29:34 min

Indeterminate Forms - 1

28:36 min

Indeterminate Forms - 2

31:19 min

Taylor Polynomial

28:17 min

Limit of Function of Two Variables

30:43 min

Evaluation of Limit of Function of Two Variable

26:39 min

Continuity of Function of Two Variable

31:31 min

Partial Derivatives of Function of Two Variable

33:24 min

Partial Derivatives of Higher Order

35:32 min

Differentiability of Functions of Two Variables

35:02 min

Differentiability of Functions of Two Variables (Cont.)

32:45 min

Differentiability of Functions of Two Variables (Cont.)

31:08 min

Derivative & Differentiability

36:20 min

Composite and Homogeneous Functions

33:19 min

Taylor’s Theorem for Functions of Two Variables

27:43 min

Maxima & Minima of Functions of Two Variables

30:51 min

Maxima & Minima of Functions of Two Variables (Cont.)

25:36 min

Maxima & Minima of Functions of Two Variables (Cont.)

38:36 min

Constrained Maxima & Minima

31:41 min

Metric Spaces - 1

05:59 min

Compactness Criterion & its Proof

09:17 min

Normed Linear Space: Concepts & Example

12:03 min

Metric Spaces: Definition and Examples

52:56 min

Balls and Spheres

52:03 min

Metric Spaces: Examples and Elementary Concepts

52:09 min

Closure Points, Limit Points and isolated Points

52:20 min

Open Sets

51:29 min

Closed sets

51:14 min

Sequences in Metric Spaces

51:44 min

Explanation: Completeness

49:20 min

Baire Category Theorem

53:38 min

Limit and Continuity of a Function defined on a Metric space

53:27 min

Continuous Functions on a Metric Space

54:19 min

Exlpanation: Connectedness

40:05 min

Uniform Continuity

51:01 min

Connected Sets

54:53 min

Explanation: Compactness

51:22 min

Compactness - Continued

51:59 min

Continuous Functions on Compact Sets

53:20 min

Characterizations of Compact Sets

56:29 min

Vector intro for linear algebra

05:49 min

Linear Dependence & Independence

17:10 min

Basis and Dimension

17:45 min

Linear transformations

13:52 min

Introduction: Linear Algebra

09:02 min

Notations, Motivation and Definition

29:13 min

Matrix: Examples, Transpose and Addition

23:49 min

Matrix Multiplication

37:30 min

Matrix Product Recalled

27:06 min

Matrix Product Continued

18:06 min

Inverse of a Matrix

29:59 min

Introduction to System of Linear Equations

25:46 min

Some Initial Results on Linear Systems

19:16 min

Row Echelon Form (REF)

28:07 min

LU Decomposition - Simplest Form

31:47 min

Elementary Matrices

15:06 min

Row Reduced Echelon Form (RREF)

15:20 min

Rank of a matrix

39:14 min

RREF and Inverse

35:40 min

Row Reduced Echelon Form (RREF) Continued

26:42 min

Solution Set of a System of Linear Equations

31:49 min

System of n Linear Equations in n Unknowns

27:37 min

Explanation: Determinant

28:36 min

Permutations and the Inverse of a Matrix

30:57 min

Inverse and the Cramer's Rule

31:42 min

Matric Algebra - 2

05:55 min

Matric Algebra - 3

11:47 min

Matric Algebra - 4

08:12 min

Matric Algebra - 5

11:56 min

Matric Algebra - 6

04:36 min

Matric Algebra - 7

12:11 min

Matric Algebra - 8

12:17 min

Vector Spaces

29:03 min

Vector Subspaces and Linear Span

31:02 min

Basic Results on Linear Independence

32:00 min

Linear Combination, Linear Independence and Dependence

39:28 min

Results on Linear Independence Continued

27:45 min

Basis of a Finite Dimensional Vector Space

42:00 min

Fundamental Spaces associated with a Matrix

35:02 min

Rank - Nullity Theorem

24:43 min

Definition and Examples of Linear Transformations

30:11 min

Results on Linear Transformations

26:48 min

Fundamental Theorem of Linear Algebra

36:01 min

Isomorphism of Vector Spaces

21:43 min

Rank-Nullity Theorem and Applications

30:32 min

Ordered Basis of a Finite Dimensional Vector Space

32:03 min

Ordered Basis Continued

15:37 min

Matrix of a Linear transformation

26:58 min

Inner Product Space

29:30 min

Matrix of a Linear transformation Continued

25:03 min

Matrix of Linear Transformations Continued

28:52 min

Cauchy Schwartz Inequality

28:56 min

Inner Product Continued

26:29 min

Projection on a Vector

31:44 min

Projection on a Vector

31:44 min

Results on Orthogonality

27:38 min

Results on Orthogonality

35:06 min

Complex Analysis: Contour integration

20:17 min

Complex Analysis: Schwarz Lemma

04:20 min

Open Mapping Theorem: Statement and Proof

15:46 min

Complex Analysis: Taylor Series For Complex Variable

21:33 min

Application of Residue Theorem

23:08 min

Conformal Mapping in Complex Variables

14:19 min

Mobius Transformations

02:45 min

Hyperbolic Functions: Definitions, Identities, Derivatives, and Inverses

07:34 min

Application of Conformal Mapping to Potential Theory

44:07 min

Conformal mapping from disk to disk and angular region to disk

39:46 min

Conformal mapping from half plane to disk and half plane to half plane-I

44:53 min

Analytic Function

42:00 min

Conformal Mapping-I

64:37 min

Conformal Mapping-II

38:18 min

Cauchy-Riemann Equations

50:14 min

Harmonic Functions, Harmonic Conjugates and Milne's Method

35:07 min

Applications to the Problems of Potential Flow-I

26:31 min

Applications to the Problems of Potential Flow-II

55:12 min

Cauchy's Theorem - I

55:50 min

Cauchy's Theorem-II

30:32 min

Complex Integration

42:41 min

Cauchy's Integral Formula for the Derivatives of Analytic Function

58:30 min

Morera's Theorem, Liouville's Theorem and Fundamental Theorem of Algebra

52:31 min

Winding Number and Maximum Modulus Principle

37:20 min

Sequences and Series

32:49 min

Uniform Convergence of Series

30:10 min

Power Series

31:55 min

Taylor Series

31:28 min

Zeros and Singularities of an Analytic Function

42:16 min

Residue at a Singularity

35:24 min

Meromorphic Functions

42:53 min

Residue Theorem

49:09 min

Evaluation of real integrals using residues-I

39:20 min

Evaluation of real integrals using residues-II

56:08 min

Evaluation of real integrals using residues-III

27:32 min

Evaluation of real integrals using residues-IV

36:38 min

Evaluation of real integrals using residues-V

36:04 min

Bilinear Transformations

60:00 min

Cross Ratio

37:32 min

Laurent Series

43:51 min

Group Theory: Permutation Group

34:00 min

Group Theory: Cyclic Group

21:47 min

Group Theory: Subgroup

30:22 min

Group Theory: Normal Subgroup

25:50 min

Group Theory: Quotient Group

11:08 min

Sylow First Theorem: Proof and Example

12:23 min

Sylow Second Theorem: Proof and Example

08:37 min

Group Theory: Homomorphism

25:48 min

Cayley's Theorem

23:30 min

Class Equations: Group Theory

14:46 min

Set Theory

26:37 min

Set Operations

26:32 min

Set Operations (contd.)

28:07 min

Set of sets

26:54 min

Binary relation

29:10 min

Explanation: Mapping

28:08 min

Equivalence relation

29:31 min

Binary Composition

26:25 min

Explanation: Permutation

30:35 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

Right Cosets

26:10 min

Left Cosets

28:59 min

Normal Subgroup

32:11 min

Pigeon-Hole Principle

16:47 min

Inclusion Exclusion Principle

18:03 min

Congruences: Solution of some Linear Congruences

12:25 min

Chinese Remainder Theorem

13:15 min

Order of Integers & Primitive Roots

11:22 min

Permutations & Combinations

32:49 min

Pigeon Hole Principle

34:48 min

Generating Functions

35:52 min

Stirling Numbers, Bell Numbers

39:55 min

Product of Generating Functions

50:55 min

Composition of Generating Function

33:35 min

Principle of Inclusion Exclusion

24:31 min

Rook placement problem

39:31 min

Solution of Congruences

43:07 min

Chinese Remainder Theorem

34:52 min

Totient; Congruences; Floor and Ceiling Functions

52:33 min

Introduction to Groups

47:10 min

Ring Theory: Prime Ideal

13:01 min

Ring Theory: Maximal Ideal

15:25 min

Ring Theory: Principal Ideal Domain

05:56 min

Ring Theory: Euclidean Domain

17:11 min

Introduction, main definitions

31:37 min

Examples of rings

32:44 min

More Examples of Rings

32:52 min

Polynomial rings 1

31:25 min

Polynomial rings 2

20:25 min

Explanation: Homomorphisms

31:10 min

Problems 1

32:03 min

Problems 2