*label_important*1. Calculus

5 Chapters | 50 Solved Problems

#### *label_important* 1.1 Indeterminate Forms (L Hospital)

#### *label_important*1.2 Improper Integrals

#### *label_important* 1.3 Beta Function

#### *label_important* 1.4 Gamma Function

#### *label_important* 1.5 Relation Between Gamma and Beta Function

*label_important*2. Sequences and Series

12 Chapters | 62 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 D'Alembert's ratio test

#### *label_important* 2.6 Raabe's test

#### *label_important* 2.7 Logarithmic test

#### *label_important* 2.8 Cauchy's root test

#### *label_important* 2.9 Gauss's test

#### *label_important* 2.10 Alternatiing series

#### *label_important* 2.11 Absolute and and conditional convergence

#### *label_important* 2.12 Taylors Series & Maclaurin Series

*label_important*3. Fourier Series (UPCOMING)

*label_important*4. Functions of Several Variables

9 Chapters | 70 Solved Problems

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

#### *label_important*4.2 Partial Differentiation

#### *label_important* 4.3 Total Derivatives (Chain Rule)

#### *label_important* 4.4 Derivative of an Implicit Functions

#### *label_important* 4.5 Gradient

#### *label_important* 4.6 Directional derivatives

#### *label_important* 4.7 Tangent and normal to a surface

#### *label_important* 4.8 Maxima & Minima

#### *label_important* 4.9 Lagrange's Method

*label_important*5. Multivariable Calculus

7 Chapters | 78 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)

*label_important*6. Matrices

11 Chapters | 67 Solved Problems

#### *label_important* 6.1 Gradient

#### *label_important*6.2 Directional derivatives

#### *label_important* 6.3 Curl & Divergence

#### *label_important*6.4 Line Integral

#### *label_important* 6.5 Surface Integral

#### *label_important* 6.6 Volume Integral

#### *label_important* 6.7 Greens Theorem

#### *label_important* 6.8 Gauss divergence Theorem

#### *label_important* 6.9 Stokes Theorem

#### *label_important* 6.10 Cayley Hamilton Theorem

#### *label_important* 6.11 Diagonalisation of matrix (Orthogonal Transformation)