label_important1. DIFFERENTIAL CALCULUS - 1 (9 Free Videos)
9 Chapters | 58 Solved Problems
label_important 1.1 Polar curves
label_important1.2 Pedal equation of polar curves
label_important 1.3 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 Centre of Curvature
label_important 1.8 Evolute and Involute
label_important 1.9 Pedal forms
label_important2. DIFFERENTIAL CALCULUS - 2 (8 Free Videos)
8 Chapters | 68 Solved Problems
label_important 2.1 Indeterminate Forms (L Hospital)
label_important2.2 Partial Differentiation
label_important 2.3 Total Derivatives
label_important 2.4 Derivative of an Implicit Functions
label_important 2.5 Jacobian's
label_important 2.6 Maxima & Minima
label_important 2.7 Euler's Theorems
label_important 2.8 Lagrange's Method
label_important3. ORDINARY DIFFERENTIAL EQUATIONS (ODE'S) OF FIRST ORDER (9 Free Videos)
9 Chapters | 76 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 Equations Solvable for y
label_important 3.9 Equations Solvable for x
label_important4. ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER (10 Free Videos)
10 Chapters | 76 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 Method of Variation of Parameters
label_important4.8 Cauchy's Differential Equations
label_important 4.9 Legendre Differential Equations
label_important 4.10 Applications to Electric R-L-C circuits
label_important 5. LINEAR ALGEBRA (12 Free Videos)
12 Chapters | 75 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 Non-Homogenous Linear Equations
label_important 5.5 Consistency of Homogenous Linear Equations
label_important 5.6 Gauss – Elimination method
label_important 5.7 Gauss – Jordan method
label_important 5.8 Characteristic Equation
label_important 5.9 Eigen values and Eigen vectors
label_important 5.10 Properties of Eigen values and Eigen vectors
label_important 5.11 Guass Jacobi's Method
label_important 5.12 Cayley Hamilton Theorem
