*label_important*1. CALCULUS

3 Chapters | 36 Solved Problems

#### *label_important* 1.1 Beta Function

#### *label_important*1.2 Gamma Function

#### *label_important* 1.3 Relation Between Gamma and Beta Function

*label_important*2. SEQUENCES AND SERIES

7 Chapters | 40 Solved Problems

#### *label_important* 2.1 Sequences

#### *label_important*2.2 Infinite series

#### *label_important* 2.3 Comparison test

#### *label_important* 2.4 Integral test

#### *label_important* 2.5 Logarithmic test

#### *label_important* 2.6 Cauchy's root test

#### *label_important* 2.7 Alternating series

*label_important*3. FOURIER SERIES

8 Chapters | 56 Solved Problems

#### *label_important*3.1 Fourier Series

#### *label_important*3.2 Function Having Points of Discontinuity

#### *label_important* 3.3 Change of Interval

#### *label_important* 3.4 Even and Odd Functions

#### *label_important* 3.5 Half Range Series

#### *label_important* 3.6 Complex Form of Fourier Series

#### *label_important* 3.7 Parseval's Formula

#### *label_important* 3.8 Practical Harmonic Analysis

*label_important* 4. MULTIVARIABLE CALCULUS (DIFFERENTIATION)

9 Chapters | 72 Solved Problems

#### *label_important* 4.1 Function of two or more variables (Limit & Continuity)

#### *label_important*4.2 Partial Differentiation

#### *label_important* 4.3 Tangent and normal to a surface

#### *label_important* 4.4 Lagrange's Method

#### *label_important* 4.5 Maxima & Minima

#### *label_important* 4.6 Gradient

#### *label_important* 4.7 Directional derivatives

#### *label_important* 4.8 Curl & Divergence

#### *label_important* 4.9 Solenoidal & Irrotational

*label_important* 5. MULTIVARIABLE CALCULUS (INTEGRATION)

12 Chapters | 94 Solved Problems

#### *label_important* 5.1 Double Integral

#### *label_important*5.2 Triple Integral

#### *label_important*5.3 Change of Order of Integration

#### *label_important* 5.4 Change of Variables (Double Integral)

#### *label_important* 5.5 Application of Double Integral (Area)

#### *label_important* 5.6 Application of Triple Integral (Volume)

#### *label_important* 5.7 Line Integral

#### *label_important* 5.8 Surface Integral

#### *label_important* 5.9 Volume Integral

#### *label_important* 5.10 Greens Theorem

#### *label_important* 5.11 Gauss divergence Theorem

#### *label_important* 5.12 Stokes Theorem