*label_important*1. CALCULUS

7 Chapters | 49 Solved Problems

#### *label_important* 1.1 Radius of curvature in cartesian

#### *label_important*1.2 Radius of curvature in parametric

#### *label_important* 1.3 Radius of curvature in polar

#### *label_important* 1.4 Evolute and Involute

#### *label_important* 1.5 Beta Function

#### *label_important* 1.6 Gamma Function

#### *label_important* 1.7 Relation Between Gamma and Beta Function

*label_important*2. FUNCTIONS OF SEVERAL VARIABLES

8 Chapters | 68 Solved Problems

#### *label_important*2.1 Partial Differentiation

#### *label_important*2.2 Total Derivatives

#### *label_important*2.3 Derivative of an Implicit Functions

#### *label_important*2.4 Change of variable

#### *label_important*2.5 Jacobian's

#### *label_important*2.6 Taylors Series & Maclaurin Series

#### *label_important*2.7 Maxima & Minima

#### *label_important*2.8 Lagrange's Method

*label_important*3. MULTIPLE INTEGRALS AND APPLICATIONS

7 Chapters | 79 Solved Problems

#### *label_important* 3.1 Double Integral

#### *label_important*3.2 Change of Order of Integration

#### *label_important*3.3 Change of Variables (Double Integral)

#### *label_important* 3.4 Triple Integral

#### *label_important* 3.5 Change of Variables (Triple Integral)

#### *label_important* 3.6 Application of Double Integral (Area)

#### *label_important* 3.7 Application of Triple Integral (Volume)

*label_important*4. DIFFERENTIAL EQUATIONS

9 Chapters | 75 Solved Problems

#### *label_important* 4.1 Exact Differential Equations

#### *label_important*4.2 Linear Differential Equation

#### *label_important*4.3 Bernoulli’s Equation

#### *label_important* 4.4 Orthogonal trajectories

#### *label_important* 4.5 Law of Natural Growth and Decay

#### *label_important* 4.6 First Order Non-linear Differential Equations

#### *label_important* 4.7 Equations Solvable for y

#### *label_important* 4.8 Equations Solvable for x

#### *label_important* 4.9 Clairaut's Equation

*label_important*5. DIFFERENTIAL EQUATIONS

8 Chapters | 58 Solved Problems

#### *label_important* 5.1 Linear Differential Equations of Higher Order

#### *label_important*5.2 General solution of f(D)y = e^ax

#### *label_important*5.3 General solution of f(D)y = cos ax or sin ax

#### *label_important*5.4 General solution of f(D)y = x^m

#### *label_important* 5.5 General solution of f(D)y = e^ax . f(x)

#### *label_important* 5.6 General solution of f(D)y = x^m . f(x)

#### *label_important* 5.7 Method of Variation of Parameters

#### *label_important* 5.8 Simultaneous First Order Linear Equations