Applied Mathematics - 1

label_important 1.1 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_important 2.1 Radius of curvature in cartesian

label_important2.2 Radius of curvature in parametric

label_important 2.3 Radius of curvature in polar

label_important 2.4 Centre of Curvature

label_important 2.5 Evolute and Involute

label_important 2.6 Envelopes

label_important3.1 Function of two or more variables (Limit & Continuity)

label_important3.2 Partial Differentiation

label_important 3.3 Total Derivatives (Chain Rule)

label_important 3.4 Derivative of an Implicit Functions

label_important3.5 Jacobian's

label_important 3.6 Taylors Series & Maclaurin Series

label_important 3.7 Lagrange's Method

label_important4.1 Definite Integral

label_important4.2 Properties of Definite Integral

label_important 4.3 Integration by Parts

label_important 4.4 Volumes using cross-sections

label_important 4.5 Solid of Revolution - The Disk Method

label_important 4.6 Solid of Revolution - The Washer Method

label_important 4.7 Solid of Revolution - The Shell Method

label_important5.1 Double Integral

label_important5.2 Change of Order of Integration

label_important 5.3 Change of Variables (Double Integral)

label_important 5.4 Application of Double Integral (Area)

label_important5.5 Triple Integral

label_important 5.6 Change of Variables (Triple Integral)

label_important 5.7 Application of Triple Integral (Volume)