Matrices and Calculus (MA20101)

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 (Similarity Transformation)

label_important 1.7 Diagonalisation of Matrix (Orthogonal Transformation)

label_important 1.8 Quadratic Forms and Nature of Quadratic Forms

label_important 2.1 Limit of a Functions

label_important2.2 Continuity

label_important 2.3 Derivatives

label_important 2.4 Differentiation Rules

label_important 2.5 Leibnitz's theorem

label_important 2.6 Rolle’s Mean value Theorem

label_important 2.7 Maxima and Minima of functions of one variable

label_important 3.1 Partial Differentiation

label_important3.2 Euler's Theorems

label_important 3.3 Total Derivatives

label_important 3.4 Derivative of an Implicit functions

label_important 3.5 Jacobian's

label_important 3.6 Taylors Series & Maclaurin Series

label_important 3.7 Maxima & Minima

label_important 3.8 Lagrange's Method

label_important 4.1 Definite Integral

label_important4.2 Indefinite Integral

label_important 4.3 Properties of Definite Integral

label_important 4.4 Substitution Rule

label_important 4.5 Integration by Parts

label_important 5.1 Double Integral

label_important5.2 Triple Integral

label_important5.3 Change of Order of Integration

label_important 5.4 Change of Variables (Double Integral)

label_important 5.5 Change of Variables (Triple Integral)

label_important 5.6 Application of Double Integral (Area)

label_important 5.7 Application of Triple Integral (Volume)