*label_important*1. CALCULUS

20 Chapters | 128 Solved Problems

#### *label_important* 1.1 Rolle’s Mean value Theorem

#### *label_important*1.2 Lagrange’s Mean Value Theorem

#### *label_important* 1.3 Cauchy’s and Generalized mean value Theorem

#### *label_important* 1.4 Taylor & Maclaurin Series

#### *label_important* 1.5 Indeterminate Forms (L Hospital)

#### *label_important* 1.6 Maxima and Minima of functions of one variable

#### *label_important* 1.7 Definite Integral

#### *label_important* 1.8 Improper Integrals

#### *label_important* 1.9 Beta Function

#### *label_important* 1.10 Gamma Function

#### *label_important* 1.11 Relation Between Gamma and Beta Function

#### *label_important* 1.12 Sequences

#### *label_important* 1.13 Infinite series

#### *label_important*1.14 Comparison test

#### *label_important* 1.15 Integral test

#### *label_important* 1.16 D'Alembert's ratio test

#### *label_important* 1.17 Raabe's test

#### *label_important* 1.18 Logarithmic test

#### *label_important*1.19 Cauchy's root test

#### *label_important* 1.20 Alternating series

*label_important*2. MULTIVARIABLE CALCULUS

9 Chapters | 53 Solved Problems

#### *label_important* 2.1 Function of two or more variables (Limit & Continuity)

#### *label_important*2.2 Partial Differentiation

#### *label_important* 2.3 Tangent and normal to a surface

#### *label_important* 2.4 Maxima & Minima

#### *label_important* 2.5 Lagrange's Method

#### *label_important* 2.6 Gradient

#### *label_important* 2.7 Directional derivatives

#### *label_important* 2.8 Curl & Divergence

#### *label_important* 2.9 Solenoidal & Irrotational

*label_important*3. MULTIPLE INTEGRATION

10 Chapters | 115 Solved Problems

#### *label_important* 3.1 Double Integral

#### *label_important*3.2 Change of Order of Integration

#### *label_important* 3.3 Change of Variables (Double Integral)

#### *label_important*3.4 Application of Double Integral (Area)

#### *label_important* 3.5 Triple Integral

#### *label_important*3.6 Change of Variables (Triple Integral)

#### *label_important*3.7 Application of Triple Integral (Volume)

#### *label_important*3.8 Mass, Center of Mass and Gravity

#### *label_important*3.9 Greens Theorem

#### *label_important*3.10 Gauss divergence Theorem

#### *label_important*3.11 Stokes Theorem

*label_important* 4. LINEAR ALGEBRA

9 Chapters | 69 Solved Problems

#### *label_important* 4.1 Matrix Introduction

#### *label_important* 4.2 Real matrices: Symmetric, skew – symmetric, Orthogonals

#### *label_important* 4.3 Rank of a matrix (Echelon form)

#### *label_important* 4.4 Rank of a matrix (Normal form or Canonical form)

#### *label_important* 4.5 Consistency of Non-Homogenous Linear Equations

#### *label_important* 4.6 Characteristic Equation

#### *label_important* 4.7 Eigen values and Eigen vectors

#### *label_important* 4.8 Properties of Eigen values and Eigen vectors

#### *label_important* 4.9 Cayley Hamilton Theorem

#### *label_important*4.10 Diagonalisation of matrix (Similarity Transformation)

#### *label_important*4.11 Diagonalisation of matrix (Orthogonal Transformation)