*label_important*IMPORTANT QUESTIONS AND ANSWERS

#### *label_important* Unit 1 : (Important Q&A)

#### *label_important*Unit 2 : (Important Q & A)

#### *label_important* Unit 3 : (Important Q & A)

#### *label_important* Unit 4 : (Important Q & A)

#### *label_important* Unit 5 : (Important Q & A)

*label_important*1. MATRICES

8 Chapters | 52 Solved Problems

#### *label_important* 1.1 Introduction

#### *label_important*1.2 Characteristic Equation

#### *label_important* 1.3 Eigen values and Eigen vectors

#### *label_important* 1.4 Properties of Eigen values and Eigen vectors

#### *label_important* 1.5 Cayley Hamilton Theorem

#### *label_important* 1.6 Diagonalisation of Matrix (Orthogonal Transformation)

#### *label_important* 1.7 Quadratic Forms and Nature of Quadratic Forms

#### *label_important* 1.8 Stretching of an Elastic Membrance

*label_important*2. DIFFERENTIAL CALCULUS

8 Chapters | 116 Solved Problems

#### *label_important* 2.1 Representation of Functions

#### *label_important*2.2 Limit of a Functions

#### *label_important* 2.3 Continuity

#### *label_important* 2.4 Derivatives

#### *label_important* 2.5 Differentiation Rules

#### *label_important* 2.6 Implicit Differentiation

#### *label_important* 2.7 Logarithmic Differentiation

#### *label_important* 2.8 Maxima and Minima of functions of one variable

*label_important*3. FUNCTIONS OF SEVERAL VARIABLES

9 Chapters | 79 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 Derivative of an Implicit functions

#### *label_important* 3.5 Change of variable

#### *label_important* 3.6 Jacobian's

#### *label_important* 3.7 Taylors Series & Maclaurin Series

#### *label_important* 3.8 Maxima & Minima

#### *label_important* 3.9 Lagrange's Method

*label_important* 4. INTEGRAL CALCULUS

12 Chapters | 163 Solved Problems

#### *label_important* 4.1 Definite Integral

#### *label_important*4.2 Definite Integral - Reimann Sum

#### *label_important* 4.3 Indefinite Integral

#### *label_important* 4.4 Properties of Definite Integral

#### *label_important* 4.5 Substitution Rule

#### *label_important* 4.6 Integration by Parts

#### *label_important* 4.7 Trigonometric Integrals

#### *label_important* 4.8 Trigonometric Substitutions

#### *label_important* 4.9 Integration of rational functions by partial fraction

#### *label_important*4.10 Improper Integrals

#### *label_important* 4.11 Applications - Hydrostatic force and Pressure

#### *label_important* 4.12 Applications - Moments and center of mass

*label_important* 5. MULTIPLE INTEGRALS

7 Chapters | 81 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 Application of Double Integral (Area)

#### *label_important* 5.5 Triple Integral

#### *label_important* 5.6 Change of Variables (Triple Integral)

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