*label_important*IMPORTANT SOLVED QUESTIONS

#### *label_important* Module 1

#### *label_important*Module 2

#### *label_important* Module 3

#### *label_important* Module 4

#### *label_important* Module 5

*label_important*1. INTEGRAL CALCULUS

9 Chapters | 101 Solved Problems

#### *label_important* 1.1 Double Integral

#### *label_important*1.2 Triple Integral

#### *label_important* 1.3 Change of Order of Integration

#### *label_important* 1.4 Change of Variables (Double Integral)

#### *label_important* 1.5 Application of Double Integral (Area)

#### *label_important* 1.6 Application of double integral (Volume)

#### *label_important* 1.7 Beta Function

#### *label_important* 1.8 Gamma Function

#### *label_important* 1.9 Relation Between Gamma and Beta Function

*label_important*2. VECTOR CALCULUS

8 Chapters | 106 Solved Problems

#### *label_important* 2.1 Gradient

#### *label_important*2.2 Directional derivatives

#### *label_important* 2.3 Curl & Divergence

#### *label_important* 2.4 Solenoidal & Irrotational

#### *label_important* 2.5 Line Integral

#### *label_important* 2.6 Surface Integral

#### *label_important* 2.7 Greens Theorem

#### *label_important* 2.8 Stokes Theorem

*label_important*3. PARTIAL DIFFERENTIAL EQUATIONS (PDEs)

5 Chapters | 57 Solved Problems

#### *label_important* 3.1 Formation of PDE's by elimination of arbitrary constants

#### *label_important*3.2 Formation of PDE's by elimination of arbitrary functions

#### *label_important* 3.3 First Order Linear(Lagrange's) Equation

#### *label_important* 3.4 Solutions of One dimensional Heat equation

#### *label_important* 3.5 Solutions of One dimensional wave equation

*label_important* 4. NUMERICAL METHODS - 1

6 Chapters | 48 Solved Problems

#### *label_important* 4.1 Newton-Raphson method

#### *label_important*4.2 Newton’s forward and backward difference interpolation

#### *label_important* 4.3 Newton’s divided difference interpolations

#### *label_important* 4.4 Lagrange’s interpolations

#### *label_important* 4.5 Trapezoidal rule

#### *label_important* 4.6 Simpson’s 1/3 rule

*label_important* 5. NUMERICAL METHODS - 2

4 Chapters | 38 Solved Problems

#### *label_important* 5.1 Taylor’s series method

#### *label_important*5.2 Modified Euler’s method

#### *label_important* 5.3 Runge-Kutta method

#### *label_important* 5.4 Milne's predictor-corrector method