*label_important*1. LINEAR ALGEBRA (7 Free Videos)

7 Chapters | 48 Solved Problems

#### *label_important* 1.1 Matrix Introduction

#### *label_important*1.2 Characteristic Equation

#### *label_important* 1.3 Eigen values and Eigen vectors

#### *label_important* 1.4 Properties of Eigen values and Eigen vectors

#### *label_important* 1.5 Cayley Hamilton Theorem

#### *label_important* 1.6 Diagonalisation of matrix (Orthogonal Transformation)

#### *label_important* 1.7 Quadratic forms and Nature of quadratic forms

*label_important*2. ORDINARY DIFFERENTIAL EQUATIONS (9 Free Videos)

9 Chapters | 69 Solved Problems

#### *label_important* 2.1 Linear Differential Equations of Higher Order

#### *label_important*2.2 General solution of f(D)y = e^ax

#### *label_important* 2.3 General solution of f(D)y = cos ax or sin ax

#### *label_important* 2.4 General solution of f(D)y = x^m

#### *label_important* 2.5 General solution of f(D)y = e^ax . f(x)

#### *label_important* 2.6 General solution of f(D)y = x^m . f(x)

#### *label_important* 2.7 Cauchy's Differential Equations

#### *label_important* 2.8 Legendre Differential Equations

#### *label_important* 2.9 Method of Variation of Parameters

*label_important*3. DIFFERENTIAL CALCULUS(4 Free Videos)

4 Chapters | 26 Solved Problems

#### *label_important* 3.1 Derivatives of arcs

#### *label_important*3.2 Radius of curvature in cartesian

#### *label_important* 3.3 Centre of Curvature

#### *label_important* 3.4 Evolute and Involute

*label_important*4. FUNCTIONS OF SEVERAL VARIABLES (6 Free Videos)

6 Chapters | 43 Solved Problems

#### *label_important* 4.1 Partial Differentiation

#### *label_important*4.2 Total Derivatives (Chain Rule)

#### *label_important* 4.3 Euler's Theorems

#### *label_important* 4.4 Taylors Series & Maclaurin Series

#### *label_important* 4.5 Maxima & Minima

#### *label_important* 4.6 Lagrange's Method

*label_important*5. VECTOR CALCULUS (7 Free Videos)

7 Chapters | 104 Solved Problems

#### *label_important* 5.1 Gradient

#### *label_important*5.2 Directional derivatives

#### *label_important* 5.3 Curl & Divergence

#### *label_important* 5.4 Solenoidal & Irrotational

#### *label_important* 5.5 Greens Theorem

#### *label_important* 5.6 Gauss divergence Theorem

#### *label_important* 5.7 Stokes Theorem