*label_important*1. LINEAR ALGEBRA

11 Chapters | 52 Solved Problems

#### *label_important* 1.1 Matrix Introduction

#### *label_important*1.2 Real matrices: Symmetric, skew – symmetric, orthogonals

#### *label_important* 1.3 Rank of a matrix (Echelon form)

#### *label_important* 1.4 Rank of a matrix (Normal form or Canonical form)

#### *label_important* 1.5 Characteristic Equation

#### *label_important* 1.6 Eigen values and Eigen vectors

#### *label_important* 1.7 Properties of Eigen values and Eigen vectors

#### *label_important* 1.8 Cayley Hamilton Theorem

#### *label_important* 1.9 Diagonalization of matrix (Similarity Transformation)

#### *label_important* 1.10 Diagonalization of matrix (Orthogonal Transformation)

#### *label_important* 1.11 Quadratic forms and Nature of quadratic forms

*label_important*2. NUMERICAL METHODS-I

8 Chapters | 116 Solved Problems

#### *label_important* 2.1 The Iteration Method

#### *label_important*2.2 Newton-Raphson method

#### *label_important* 2.3 Interpolation (Introduction)

#### *label_important* 2.4 Newton’s divided difference interpolations

#### *label_important* 2.5 Newton’s forward and backward difference interpolation

#### *label_important* 2.6 Trapezoidal rule

#### *label_important* 2.7 Simpson’s 1/3 rule

#### *label_important* 2.8 Simpson’s 3/8 rule

*label_important*3. NUMERICAL METHODS-II

6 Chapters | 79 Solved Problems

#### *label_important* 3.1 Taylor’s series method

#### *label_important*3.2 Euler’s method

#### *label_important* 3.3 Modified Euler’s method

#### *label_important*3.4 Runge-Kutta method

#### *label_important* 3.5 Milne's predictor-corrector method

#### *label_important*3.6 Milne's predictor-corrector method

*label_important* 4. TRANSFORM CALCULUS

13 Chapters | 163 Solved Problems

#### *label_important* 4.1 Laplace Transform

#### *label_important*4.2 Laplace Transform of some standard functions

#### *label_important* 4.3 First, Second Shifting Theorem and Change of scale property

#### *label_important* 4.4 Transform of Derivatives

#### *label_important* 4.5 Transform of Integrals

#### *label_important* 4.6 Laplace Transform of Periodic functions

#### *label_important* 4.7 Laplace Transform of unit step and unit Impulse functions

#### *label_important* 4.8 Inverse Laplace Transform

#### *label_important* 4.9 First and Second shifting Theorem, Change of Scale Property

#### *label_important*4.10 Inverse Laplace Transform of Derivatives

#### *label_important* 4.11 Multiplication by power of 's'

#### *label_important* 4.12 Convolution Theorem

#### *label_important* 4.13 Solving ordinary equations by Laplace Transforms