Engineering Mathematics - II (2FY2-01)

label_important 1.1 Matrix Introduction

label_important1.2 Rank of a matrix (Echelon form)

label_important 1.3 Rank of a matrix (Normal form or Canonical form)

label_important 1.4 Consistency of Non-Homogenous Linear Equations

label_important 1.5 Consistency of Homogenous Linear Equations

label_important 1.6 Real matrices: Symmetric, Skew – Symmetric, Orthogonals

label_important 1.7 Characteristic Equation

label_important 1.8 Eigen Values and Eigen Vectors

label_important 1.9 Properties of Eigen Values and Eigen Vectors

label_important 1.10 Cayley Hamilton Theorem

label_important 1.11 Diagonalisation of matrix (Orthogonal Transformation)

label_important 2.1 Linear Differential Equation

label_important2.2 Bernoulli's Equation

label_important 2.3 Exact Differential Equation

label_important 2.4 Non-Linear Differential Equation (Equation Solvable for p)

label_important2.5 Equation Solvable for Y

label_important 2.6 Equation Solvable for X

label_important 2.7 Clairaut's Equation

label_important 3.1 Linear Differential Equations of Higher Order

label_important3.2 General solution of f(D)y = e^ax

label_important3.3 General solution of f(D)y = cos ax or sin ax

label_important 3.4 General solution of f(D)y = x^m

label_important 3.5 General solution of f(D)y = e^ax . f(x)

label_important 3.6 General solution of f(D)y = x^m . f(x)

label_important 3.7 Method of variation of parameters

label_important 3.8 Cauchy's Differential Equations

label_important 3.9 Legendre Differential Equations

label_important 4.1 Formation of PDE's by elimination of arbitrary constants

label_important4.2 Formation of PDE's by elimination of arbitrary functions

label_important 4.3 Solutions of standard first order partial differential equations

label_important 4.4 First Order Linear(Lagrange's) Equation

label_important 4.5 Higher Order Partial Differential Equation

label_important 4.6 Complementary Function for a Non-homogenous Linear Equation

label_important 5.1 Classification of second order PDE

label_important5.2 Method of Separation of Variables

label_important5.3 Solutions of One Dimensional Wave Equation

label_important 5.4 Solutions of One Dimensional Heat Equation