13:34

Taylor Series and Laurent Series | Taylor Series

09:46

Cauchy Integral Theorem & Formula and Residue Theorem | Cauchy Integral Theorem

09:09

Analytic Function and Cauchy Riemann Equation | Harmonic and Conjugate Functions

10:09

Curve and Complex Integrals | Smooth and Piecewise Smooth Curve

06:05

Solution of Linear Differential Equations by Laplace Transform

12:48

Laplace and Inverse Laplace of Derivatives and Integrals | Inverse Laplace Transform of Derivatives

16:59

Inverse LT of Functions using Partial Fraction Method and Convolution Theorem | Convolution Theorem

12:38

Inverse Laplace Transform of Functions with s | Division by S Inverse Laplace Transform

11:00

Introduction to Inverse Laplace Transform | Inverse Laplace Transform

10:41

Periodic and Error Function | Laplace Transform of Error Function

11:42

Unit-Step and Dirac-Delta Functions | Unit-Step Function Laplace Transform

14:10

Laplace Transforms of Functions Divided by t | Division by t in Laplace Transform

14:00

Laplace Transforms of Functions Multiplied by t^n | Multiplication by t^n

09:29

Scale Change and Shifting Property | First Shifting Property of Laplace Transform

08:01

Introduction to Laplace Transform | Properties of Laplace Transform

11:29

Hyperbola | Equation of an Ellipse

11:06

Parabola | Standard forms of a Parabola

12:48

Recognition of Conics | Centre of Conics

09:38

Different Forms of a Circle | Circle Touches and Cuts X-Axis and Y-Axis

20:04

Recurrence Relation and Orthogonality of Bessel Function | Recurrence Relation of Bessel Function

12:43

Compound Angles | Sum and Difference Identities & Formulas

13:44

Height and Distance | Angle of Elevation and Angle of Depression

11:52

Diametric Form of a Circle | Equation of Circle Passing Through Three Non-Collinear Points

11:59

Equation of a Circle | Center and Radius of a Circle Equation

13:13

Equation of a Plane | Perpendicular Vector to a Plane

07:07

Distance between a point from a Line | Distance Formulae for Two Parallel Lines

13:24

Angle between Two Lines | Angle between Two Planes

09:59

Equation of a Line in Space

14:24

Area of a Triangle and Locus | Locus and its Equation

11:53

Centroid and Incentre of a Triangle | Centroid of a Triangle

08:50

Section Formulae | Internal and External Division

09:25

Cartesian and Polar Coordinates | Relation between The Polar and Cartesian Coordinates

08:05

Sum and Product Formulae | Trigonometric Ratios

05:50

Multiple and Submultiple Angles | Sub-multiple Angles A/2 in terms of A

19:12

Graph of Trigonometric Functions | Graph of Various Trigonometric Functions

15:02

Trigonometric Functions of Allied Angles | Allied Angles in Trigonometric Functions

10:45

Trigonometrical Ratios and Identities | Trigonometric Identities

11:39

Introduction to Trigonometry | Angle Measurement of Degrees into Radians

09:17

Binomial Theorem | Pascal’s Triangle in Binomial Theorem

09:12

Combinations | Combinations and The Term nCr

10:39

Permutations | Factorial Notation

17:10

Partial Fractions and Quadratic Factors | Non-Reducible Quadratic Factors and Linear Factors

15:15

Partial Fractions of Linear Factors | Improper Fractions

15:20

Geometric Progression | GP Progression

10:03

Arithmetic and Harmonic Progression | Harmonic Progression

13:30

Logarithm | Logarithms

11:53

Gaussian Quadrature | Two-Point and Three-Point Formula

09:47

Simpson’s Rule | Simpson’s 3/8th Rule

12:08

Trapezoidal Rule | Trapezoidal Rule to Solve The Definite Integral

11:27

Numerical Differentiation | Numerical Differentiation Methods

13:14

Gauss’s and Stirling’s Formulas | Stirling’s Formula of Interpolation

10:19

Gregory Newton Forward Interpolation | Gregory-Newton Backward Interpolation Formula

13:40

Newton’s Divided Difference Method of Interpolation

07:31

Divided Differences | Divided Difference Table

13:04

Hermite Interpolation | Hermite’s Interpolation Formula

09:51

Lagrange Interpolation | Lagrange's Interpolation Formula

10:14

Application of Finite Difference | Factorial Notation

15:06

Finite Difference Table | Missing Terms using Finite Difference Table

16:35

Finite Difference Operators | Relation of Various Operators

13:36

Rayleigh Power Method for Eigenvalues | Eigenvalues and Eigenvectors