label_important1. Matrices (13 Free Videos)
13 Chapters | 54 Solved Problems
label_important 1.1 Matrix Introduction
label_important1.2 Real matrices: Symmetric, skew – symmetric, orthogonals
label_important 1.3 Complex matrices: Hermitian, Skew - Hermitian, Unitary Matrices
label_important 1.4 Rank of a matrix (Echelon form)
label_important 1.5 Rank of a matrix (Normal form or Canonical form)
label_important 1.6 Inverse of a matrix by Gauss – Jordan method
label_important 1.7 Consistency of Non-Homogenous Linear Equations
label_important 1.8 Consistency of Homogenous Linear Equations
label_important 1.9 Characteristic Equation
label_important 1.10 Eigen values and Eigen vectors
label_important 1.11 Properties of Eigen values and Eigen vectors
label_important 1.12 Cayley Hamilton Theorem
label_important 1.13 Diagonalisation of matrix (Orthogonal Transformation)
label_important 2. Differential Calculus - II (UPCOMING)
label_important3. Differential Calculus - II (8 Free Videos)
8 Chapters | 84 Solved Problems
label_important 3.1 Partial Differentiation
label_important3.2 Euler's Theorems
label_important 3.3 Total Derivatives
label_important 3.4 Taylors Series & Maclaurin Series
label_important 3.5 Maxima & Minima
label_important 3.6 Lagrange's Method
label_important 3.7 Jacobian's
label_important 3.8 Errors and Approximation
label_important4. Multivariable Calculus (Integration) (7 Free Videos)
7 Chapters | 59 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 Change of Variables (Triple Integral)
label_important 4.6 Application of Double Integral (Area)
label_important 4.7 Application of Triple Integral (Volume)
label_important5. Vector Calculus (10 Free Videos)
10 Chapters | 97 Solved Problems
label_important 5.1 Gradient
label_important5.2 Directional derivatives
label_important 5.3 Curl & Divergence
label_important 5.4 Solenoidal and 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