label_important1. LINEAR ALGEBRA (7 Free Videos)
7 Chapters | 48 Solved Problems
label_important 1.1 Matrix Introduction
label_important1.2 Characteristic Equation
label_important 1.3 Eigen values and Eigen vectors
label_important 1.4 Properties of Eigen values and Eigen vectors
label_important 1.5 Cayley Hamilton Theorem
label_important 1.6 Diagonalisation of matrix (Orthogonal Transformation)
label_important 1.7 Quadratic forms and Nature of quadratic forms
label_important2. ORDINARY DIFFERENTIAL EQUATIONS (9 Free Videos)
9 Chapters | 69 Solved Problems
label_important 2.1 Linear Differential Equations of Higher Order
label_important2.2 General solution of f(D)y = e^ax
label_important 2.3 General solution of f(D)y = cos ax or sin ax
label_important 2.4 General solution of f(D)y = x^m
label_important 2.5 General solution of f(D)y = e^ax . f(x)
label_important 2.6 General solution of f(D)y = x^m . f(x)
label_important 2.7 Cauchy's Differential Equations
label_important 2.8 Legendre Differential Equations
label_important 2.9 Method of Variation of Parameters
label_important3. DIFFERENTIAL CALCULUS(4 Free Videos)
4 Chapters | 26 Solved Problems
label_important 3.1 Derivatives of arcs
label_important3.2 Radius of curvature in cartesian
label_important 3.3 Centre of Curvature
label_important 3.4 Evolute and Involute
label_important4. FUNCTIONS OF SEVERAL VARIABLES (6 Free Videos)
6 Chapters | 43 Solved Problems
label_important 4.1 Partial Differentiation
label_important4.2 Total Derivatives (Chain Rule)
label_important 4.3 Euler's Theorems
label_important 4.4 Taylors Series & Maclaurin Series
label_important 4.5 Maxima & Minima
label_important 4.6 Lagrange's Method
label_important5. VECTOR CALCULUS (7 Free Videos)
7 Chapters | 104 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 Greens Theorem
label_important 5.6 Gauss divergence Theorem
label_important 5.7 Stokes Theorem