*label_important*1. CALCULUS

7 Chapters | 40 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 Partial Differentiation

#### *label_important* 1.6 Maxima & Minima

#### *label_important* 1.7 Lagrange's Method

*label_important*2. CALCULUS

9 Chapters | 72 Solved Problems

#### *label_important* 2.1 Definite Integral

#### *label_important*2.2 Beta Function

#### *label_important* 2.3 Gamma Function

#### *label_important* 2.4 Relation Between Gamma and Beta Function

#### *label_important* 2.5 Double Integral

#### *label_important* 2.6 Triple Integral

#### *label_important* 2.7 Change of Order of Integration

#### *label_important* 2.8 Application of Double Integral (Area)

#### *label_important* 2.9 Application of Triple Integral (Volume)

*label_important*3. SEQUENCES AND SERIES

7 Chapters | 37 Solved Problems

#### *label_important* 3.1 Sequences

#### *label_important*3.2 Infinite series

#### *label_important* 3.3 Comparison test

#### *label_important* 3.4 Integral test

#### *label_important* 3.5 D'Alembert's ratio test

#### *label_important* 3.6 Raabe's test

#### *label_important* 3.7 Logarithmic test

*label_important* 4. VECTOR SPACES

7 Chapters | 37 Solved Problems

#### *label_important* 4.1 Vector Spaces

#### *label_important* 4.2 Sub Spaces

#### *label_important* 4.3 Linear Combination and Systems of Equations

#### *label_important* 4.4 Linear Dependence and Linear Independence

#### *label_important* 4.5 Bases and dimension

#### *label_important* 4.6 Finite Dimensional Vector Space

#### *label_important* 4.7 Linear Transformations

*label_important* 5. MATRICES

11 Chapters | 62 Solved Problems

#### *label_important* 5.1 Matrix Introduction

#### *label_important*5.2 Rank of a matrix (Echelon form)

#### *label_important*5.3 Rank of a matrix (Normal form or Canonical form)

#### *label_important* 5.4 Consistency of Non-Homogenous Linear Equations

#### *label_important* 5.5 Consistency of Homogenous Linear Equations

#### *label_important* 5.6 Characteristic Equation

#### *label_important* 5.7 Eigen values and Eigen vectors

#### *label_important* 5.8 Properties of Eigen values and Eigen vectors

#### *label_important* 5.9 Cayley Hamilton Theorem

#### *label_important* 5.10 Diagonalisation of matrix (Similarity Transformation)

#### *label_important* 5.11 Diagonalisation of matrix (Orthogonal Transformation)