*label_important*1. Differential Calculus (4 Free Videos)

4 Chapters | 45 Solved Problems

#### *label_important* 1.1 Leibnitz's theorem

#### *label_important*1.2 Taylor & Maclaurin Series

#### *label_important* 1.3 Indeterminate Forms (L Hospital)

#### *label_important* 1.4 Maxima and Minima of functions of one variable

*label_important*2. Multivariable Calculus (Differentiation) (8 Free Videos)

8 Chapters | 65 Solved Problems

#### *label_important* 2.1 Partial Differentiation

#### *label_important*2.2 Euler's Theorems

#### *label_important* 2.3 Total Derivatives (Chain Rule)

#### *label_important* 2.4 Derivative of an Implicit Functions

#### *label_important* 2.5 Jacobian's

#### *label_important* 2.6 Taylors Series & Maclaurin Series

#### *label_important* 2.7 Maxima & Minima

#### *label_important* 2.8 Lagrange's Method

*label_important*3. Matrices (6 Free Videos)

6 Chapters | 25 Solved Problems

#### *label_important* 3.1 Matrix Introduction

#### *label_important*3.2 Rank of a matrix (Echelon form)

#### *label_important* 3.3 Rank of a matrix (Normal form or Canonical form)

#### *label_important* 3.4 Consistency of Non-Homogenous Linear Equations

#### *label_important* 3.5 Consistency of Homogenous Linear Equations

#### *label_important* 3.6 Cayley Hamilton Theorem

*label_important*4. First Order Ordinary Differential Equations (7 Free Videos)

7 Chapters | 58 Solved Problems

#### *label_important* 4.1 Linear Differential Equation

#### *label_important*4.2 Bernoullis Equation

#### *label_important* 4.3 Exact Differential Equation

#### *label_important* 4.4 Non-Linear Differential Equation

#### *label_important* 4.5 Equation Solvable for Y

#### *label_important* 4.6 Equation Solvable for X

#### *label_important* 4.7 Clairauts Equation

*label_important*5. Higher Order Ordinary Differential Equations (11 Free Videos)

11 Chapters | 82 Solved Problems

#### *label_important* 5.1 Linear Differential Equations of Higher Order

#### *label_important*5.2 General solution of f(D)y = e^ax

#### *label_important* 5.3 General solution of f(D)y = cos ax or sin ax

#### *label_important* 5.4 General solution of f(D)y = x^m

#### *label_important* 5.5 General solution of f(D)y = e^ax . f(x)

#### *label_important* 5.6 General solution of f(D)y = x^m . f(x)

#### *label_important* 5.7 Method of variation of parameters

#### *label_important* 5.8 Cauchy's Differential Equations

#### *label_important* 5.9 Legendre Differential Equations

#### *label_important* 5.10 Simultaneous first order linear equations with constant coefficients

#### *label_important* 5.11 Applications to Electric R-L-C circuits