*label_important*1. CALCULUS

7 Chapters | 37 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 Pedal forms

*label_important*2. SERIES EXPANSION AND MULTIVARIABLE CALCULUS

7 Chapters | 71 Solved Problems

#### *label_important* 2.1 Taylor & Maclaurin Series

#### *label_important*2.2 Indeterminate Forms (L Hospital)

#### *label_important* 2.3 Partial Differentiation

#### *label_important* 2.4 Total Derivatives (Chain Rule)

#### *label_important* 2.5 Change of variable (Composite Function)

#### *label_important* 2.6 Jacobian's

#### *label_important* 2.7 Maxima & Minima

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

7 Chapters | 53 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* 4. ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER

7 Chapters | 52 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 Method of Variation of Parameters

#### *label_important* 4.6 Cauchy's Differential Equations

#### *label_important* 4.7 Legendre Differential Equations

*label_important* 5. LINEAR ALGEBRA

8 Chapters | 44 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 Homogenous Linear Equations

#### *label_important* 5.5 Gauss – Elimination method

#### *label_important* 5.6 Gauss – Jordan method

#### *label_important* 5.7 Gauss - Seidal Method

#### *label_important* 5.8 Eigen values of matrix by power method