label_important1. Differential Calculus
7 Chapters | 68 Solved Problems
label_important 1.1 Radius of curvature in cartesian
label_important1.2 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_important2. Multivariable Calculus
8 Chapters | 79 Solved Problems
label_important 2.1 Double Integral
label_important2.2 Change of Order of Integration
label_important 2.3 Change of Variables (Double Integral)
label_important 2.4 Application of Double Integral (Area)
label_important 2.5 Triple Integral
label_important 2.6 Change of Variables (Triple Integral)
label_important 2.7 Application of Triple Integral (Volume)
label_important 2.8 Mass, Center of Mass and Gravity
label_important3. First Order Ordinary Differential Equation
9 Chapters | 74 Solved Problems
label_important 3.1 Exact Differential Equation
label_important3.2 Linear Differential Equation
label_important 3.3 Bernoullis Equation
label_important 3.4 Non-Linear Differential Equation
label_important 3.5 Equation Solvable for Y
label_important 3.6 Equation Solvable for X
label_important 3.7 Clairauts Equation
label_important 3.8 Orthogonal trajectories
label_important 3.9 Law of Natural Growth and Decay
label_important4. Higher Order Ordinary Differential Equation
9 Chapters | 67 Solved Problems
label_important 4.1 Linear Differential Equations of Higher Order
label_important4.2 General solution of f(D)y = e^ax
label_important 4.3 General solution of f(D)y = cos ax or sin ax
label_important 4.4 General solution of f(D)y = x^m
label_important 4.5 General solution of f(D)y = e^ax . f(x)
label_important 4.6 General solution of f(D)y = x^m . f(x)
label_important 4.7 Cauchy's Differential Equations
label_important 4.8 Simultaneous first order linear equations with constant coefficients
label_important 4.9 Method of variation of parameters
label_important5. Vector Calculus
10 Chapters | 121 Solved Problems
label_important 5.1 Gradient
label_important5.2 Directional derivatives
label_important 5.3 Curl & Divergence
label_important 5.4 Solenoidal & Irrotational
label_important 5.5 Line Integral
label_important 5.6 Surface Integral
label_important 5.7 Volume Integral
label_important 5.8 Greens Theorem
label_important 5.9 Gauss divergence Theorem
label_important 5.10 Stokes Theorem