*label_important*1. Matrices

13 Chapters | 54 Solved Problems

#### *label_important* 1.1 Matrix Introduction

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

#### *label_important* 1.3 Complex matrices: Hermitian, Skew - Hermitian, Unitary Matrices

#### *label_important* 1.4 Rank of a matrix (Echelon form)

#### *label_important* 1.5 Rank of a matrix (Normal form or Canonical form)

#### *label_important* 1.6 Inverse of a matrix by Gauss – Jordan method

#### *label_important* 1.7 Consistency of Non-Homogenous Linear Equations

#### *label_important* 1.8 Consistency of Homogenous Linear Equations

#### *label_important* 1.9 Characteristic Equation

#### *label_important* 1.10 Eigen values and Eigen vectors

#### *label_important* 1.11 Properties of Eigen values and Eigen vectors

#### *label_important* 1.12 Cayley Hamilton Theorem

#### *label_important* 1.13 Diagonalisation of matrix (Orthogonal Transformation)

*label_important* 2. Differential Calculus - II (UPCOMING)

*label_important*3. Differential Calculus - II

8 Chapters | 84 Solved Problems

#### *label_important* 3.1 Partial Differentiation

#### *label_important*3.2 Euler's Theorems

#### *label_important* 3.3 Total Derivatives

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

#### *label_important* 3.5 Maxima & Minima

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

#### *label_important* 3.7 Jacobian's

#### *label_important* 3.8 Errors and Approximation

*label_important*4. Multivariable Calculus (Integration)

7 Chapters | 59 Solved Problems

#### *label_important* 4.1 Double Integral

#### *label_important*4.2 Triple Integral

#### *label_important* 4.3 Change of Order of Integration

#### *label_important* 4.4 Change of Variables (Double Integral)

#### *label_important* 4.5 Change of Variables (Triple Integral)

#### *label_important* 4.6 Application of Double Integral (Area)

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

*label_important*5. Vector Calculus

10 Chapters | 97 Solved Problems

#### *label_important* 5.1 Gradient

#### *label_important*5.2 Directional derivatives

#### *label_important* 5.3 Curl & Divergence

#### *label_important* 5.4 Solenoidal and 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