Engineering Mathematics - I

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_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_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_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_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