*label_important*1. DIFFERENTIAL CALCULUS - 1 (9 Free Videos)

9 Chapters | 58 Solved Problems

#### *label_important* 1.1 Polar curves

#### *label_important*1.2 Pedal equation of polar curves

#### *label_important* 1.3 Derivatives of arcs

#### *label_important* 1.4 Radius of curvature in cartesian

#### *label_important* 1.5 Radius of curvature in parametric

#### *label_important* 1.6 Radius of curvature in polar

#### *label_important* 1.7 Centre of Curvature

#### *label_important* 1.8 Evolute and Involute

#### *label_important* 1.9 Pedal forms

*label_important*2. DIFFERENTIAL CALCULUS - 2 (8 Free Videos)

8 Chapters | 68 Solved Problems

#### *label_important* 2.1 Indeterminate Forms (L Hospital)

#### *label_important*2.2 Partial Differentiation

#### *label_important* 2.3 Total Derivatives

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

#### *label_important* 2.5 Jacobian's

#### *label_important* 2.6 Maxima & Minima

#### *label_important* 2.7 Euler's Theorems

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

*label_important*3. ORDINARY DIFFERENTIAL EQUATIONS (ODE'S) OF FIRST ORDER (9 Free Videos)

9 Chapters | 76 Solved Problems

#### *label_important* 3.1 Linear Differential Equation

#### *label_important*3.2 Bernoulli’s Equation

#### *label_important* 3.3 Exact Differential Equations

#### *label_important* 3.4 Orthogonal Trajectories

#### *label_important* 3.5 Newton's Law of Cooling

#### *label_important* 3.6 First Order Non-linear Differential Equations

#### *label_important* 3.7 Clairaut's Equation

#### *label_important* 3.8 Equations Solvable for y

#### *label_important* 3.9 Equations Solvable for x

*label_important*4. ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER (10 Free Videos)

10 Chapters | 76 Solved Problems

#### *label_important* 4.1 Linear Differential Equations of Higher Order

#### *label_important*4.2 General solution of f(D)y = e^ax

#### *label_important* 4.3 General solution of f(D)y = cos ax or sin ax

#### *label_important* 4.4 General solution of f(D)y = x^m

#### *label_important* 4.5 General solution of f(D)y = e^ax . f(x)

#### *label_important* 4.6 General solution of f(D)y = x^m . f(x)

#### *label_important* 4.7 Method of Variation of Parameters

#### *label_important*4.8 Cauchy's Differential Equations

#### *label_important* 4.9 Legendre Differential Equations

#### *label_important* 4.10 Applications to Electric R-L-C circuits

*label_important* 5. LINEAR ALGEBRA (12 Free Videos)

12 Chapters | 75 Solved Problems

#### *label_important* 5.1 Matrix Introduction

#### *label_important*5.2 Rank of a matrix (Echelon form)

#### *label_important* 5.3 Rank of a matrix (Normal form or Canonical form)

#### *label_important* 5.4 Consistency of Non-Homogenous Linear Equations

#### *label_important* 5.5 Consistency of Homogenous Linear Equations

#### *label_important* 5.6 Gauss – Elimination method

#### *label_important* 5.7 Gauss – Jordan method

#### *label_important* 5.8 Characteristic Equation

#### *label_important* 5.9 Eigen values and Eigen vectors

#### *label_important* 5.10 Properties of Eigen values and Eigen vectors

#### *label_important* 5.11 Guass Jacobi's Method

#### *label_important* 5.12 Cayley Hamilton Theorem