label_important1. CALCULUS
7 Chapters | 37 Solved Problems
label_important 1.1 Polar curves
label_important1.2 Pedal equation of polar curves
label_important1.3 Derivatives of arcs
label_important 1.4 Radius of curvature in cartesian
label_important 1.5 Radius of curvature in parametric
label_important 1.6 Radius of curvature in polar
label_important 1.7 Pedal forms
label_important2. SERIES EXPANSION AND MULTIVARIABLE CALCULUS
7 Chapters | 71 Solved Problems
label_important 2.1 Taylor & Maclaurin Series
label_important2.2 Indeterminate Forms (L Hospital)
label_important 2.3 Partial Differentiation
label_important 2.4 Total Derivatives (Chain Rule)
label_important 2.5 Change of variable (Composite Function)
label_important 2.6 Jacobian's
label_important 2.7 Maxima & Minima
label_important3. ORDINARY DIFFERENTIAL EQUATIONS (ODE'S) OF FIRST ORDER
7 Chapters | 53 Solved Problems
label_important 3.1 Linear Differential Equation
label_important3.2 Bernoulli’s Equation
label_important 3.3 Exact Differential Equations
label_important 3.4 Orthogonal Trajectories
label_important 3.5 Newton's Law of Cooling
label_important 3.6 First Order Non-linear Differential Equations
label_important 3.7 Clairaut's Equation
label_important 3.8 Application of differential equations
label_important 4. INTEGRAL CALCULUS
7 Chapters | 52 Solved Problems
label_important 4.1 Double Integral
label_important4.2 Triple Integral
label_important 4.3 Change of Order of Integration
label_important 4.4 Change of Variables (Double Integral)
label_important 4.5 Application of Double Integral (Area)
label_important 4.6 Application of double integral (Volume)
label_important 4.7 Beta Function
label_important 4.8 Gamma Function
label_important 4.9 Relation Between Gamma and Beta Function
label_important 5. LINEAR ALGEBRA
8 Chapters | 44 Solved Problems
label_important 5.1 Matrix Introduction
label_important5.2 Rank of a matrix (Echelon form)
label_important 5.3 Rank of a matrix (Normal form or Canonical form)
label_important 5.4 Consistency of Homogenous Linear Equations
label_important 5.5 Gauss – Elimination method
label_important 5.6 Gauss – Jordan method
label_important 5.7 Gauss - Seidal Method
label_important 5.8 Eigen values of matrix by power method