*label_important*1. MATRICES

8 Chapters | 41 Solved Problems

#### *label_important*1.1 Matrix Introduction

#### *label_important*1.2 Rank of a matrix (Echelon form)

#### *label_important* 1.3 Rank of a matrix (Normal form or Canonical form)

#### *label_important* 1.4 Inverse of a matrix by Gauss – Jordan method

#### *label_important* 1.5 Consistency of Non-Homogenous Linear Equations

#### *label_important* 1.6 Consistency of Homogenous Linear Equations

#### *label_important* 1.7 Gauss – Elimination method

#### *label_important* 1.8 Gauss - Seidal Method

*label_important*2. EIGEN VALUES AND EIGEN VECTORS

6 Chapters | 53 Solved Problems

#### *label_important* 2.1 Characteristic Equation

#### *label_important*2.2 Eigen values and Eigen vectors

#### *label_important* 2.3 Properties of Eigen values and Eigen vectors

#### *label_important*2.4 Cayley Hamilton Theorem

#### *label_important*2.5 Diagonalisation of matrix (Similarity Transformation)

#### *label_important*2.6 Diagonalisation of matrix (Orthogonal Transformation)

#### *label_important*2.7 Quadratic forms and Nature of quadratic forms

*label_important*3. CALCULUS

4 Chapters | 26 Solved Problems

#### *label_important* 3.1 Rolle’s Mean value Theorem

#### *label_important*3.2 Lagrange’s Mean Value Theorem

#### *label_important* 3.3 Cauchy’s and Generalized mean value Theorem

#### *label_important* 3.4 Taylor & Maclaurin Series

*label_important* 4. MULTIVARIABLE CALCULUS (PARTIAL DIFFERENTIATION AND APPLICATIONS)

7 Chapters | 56 Solved Problems

#### *label_important* 4.1 Function of two or more variables (Limit & Continuity)

#### *label_important*4.2 Partial Differentiation

#### *label_important* 4.3 Total Derivatives (Chain Rule)

#### *label_important* 4.4 Taylor's and Maclaurin's series

#### *label_important* 4.5 Jacobian's

#### *label_important* 4.6 Maxima & Minima

#### *label_important* 4.7 Lagrange's Method

*label_important* 5. MULTIVARIABLE CALCULUS (INTEGRATION)

7 Chapters | 79 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 Triple Integral

#### *label_important* 5.5 Change of Variables (Triple Integral)

#### *label_important* 5.6 Application of Double Integral (Area)

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

5.7 Application of Triple Integral (Volume)