*label_important*1. MATRICES

11 Chapters | 78 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 Characteristic Equation

#### *label_important* 1.8 Eigen values and Eigen vectors

#### *label_important* 1.9 Properties of Eigen values and Eigen vectors

#### *label_important* 1.10 Cayley Hamilton Theorem

#### *label_important* 1.11 Complex matrices: Hermitian, Skew - Hermitian, Unitary Matrices

*label_important*2. DIFFERENTIAL CALCULUS - I

7 Chapters | 62 Solved Problems

#### *label_important* 2.1 Derivation of nth Derivative

#### *label_important*2.2 Leibnitz's Theorem

#### *label_important* 2.3 Curve Tracing in Cartesian

#### *label_important* 2.4 Partial Differentiation

#### *label_important*2.5 Euler's Theorems

#### *label_important* 2.6 Total Derivatives (Chain Rule)

#### *label_important* 2.7 Change of variable (Composite Function)

*label_important* 3. DIFFERENTIAL CALCULUCS - II

4 Chapters | 35 Solved Problems

#### *label_important* 3.1 Taylors Series & Maclaurin Series

#### *label_important*3.2 Maxima & Minima

#### *label_important*3.3 Lagrange's Method

#### *label_important* 3.4 Jacobian's

*label_important* 4. MULTIPLE INTEGRATION

10 Chapters | 104 Solved Problems

#### *label_important* 4.1 Double Integral

#### *label_important*4.2 Change of Order of Integration

#### *label_important* 4.3 Change of Variables (Double Integral)

#### *label_important* 4.4 Application of Double Integral (Area)

#### *label_important* 4.5 Triple Integral

#### *label_important* 4.6 Change of Variables (Triple Integral)

#### *label_important* 4.7 Application of Triple Integral (Volume)

#### *label_important* 4.8 Beta Function

#### *label_important* 4.9 Gamma Function

#### *label_important* 4.10 Relation Between Gamma and Beta Function

*label_important* 5. VECTOR CALCULUS

10 Chapters | 89 Solved Problems

#### *label_important* 5.1 Gradient

#### *label_important*5.2 Directional Derivatives

#### *label_important*5.3 Curl & Divergence

#### *label_important* 5.4 Solenoidal & Irrotational

#### *label_important* 5.5 Line Integral

#### *label_important* 5.6 Surface Integral

#### *label_important* 5.7 Volume Integral

#### *label_important* 5.8 Greens Theorem

#### *label_important* 5.9 Gauss Divergence Theorem

#### *label_important* 5.10 Stokes Theorem