*label_important*1. MATRICES

7 Chapters | 48 Solved Problems

#### *label_important* 1.1 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. GEOMETRICAL APPLICATIONS OF DIFFERENTIAL CALCULUS

6 Chapters | 46 Solved Problems

#### *label_important* 2.1 Radius of curvature in cartesian

#### *label_important*2.2 Radius of curvature in parametric

#### *label_important* 2.3 Radius of curvature in polar

#### *label_important*2.4 Centre of Curvature

#### *label_important*2.5 Evolute and Involute

#### *label_important*2.6 Envelopes

*label_important*3. FUNCTIONS OF SEVERAL VARIABLES

6 Chapters | 49 Solved Problems

#### *label_important* 3.1 Partial Differentiation

#### *label_important*3.2 Total Derivatives (Chain Rule)

#### *label_important* 3.3 Jacobian's

#### *label_important* 3.4 Taylors Series & Maclaurin Series

#### *label_important* 3.5 Maxima & Minima

#### *label_important* 3.6 Lagrange's Method

*label_important* 4. INTEGRAL CALCULUS I

5 Chapters | 47 Solved Problems

#### *label_important* 4.1 Definite Integral

#### *label_important*4.2 Properties of Definite Integral

#### *label_important* 4.3 Beta Functions

#### *label_important* 4.4 Gamma Function

#### *label_important* 4.5 Relation Between Gamma and Beta Function

*label_important* 5. INTEGRAL CALCULUS II

7 Chapters | 78 Solved Problems

#### *label_important* 5.1 Double Integral

#### *label_important*5.2 Change of Order of Integration

#### *label_important* 5.3 Change of Variables (Double Integral)

#### *label_important* 5.4 Application of Double Integral (Area)

#### *label_important* 5.5 Triple Integral

#### *label_important* 5.6 Change of Variables (Triple Integral)

#### *label_important* 5.7 Application of Triple Integral (Volume)