MATHS
chapter 1-matrices
1)rank of a
matrices
2)inverse of a matrices
using elementary transformation
3)consistency of
linear system of equations
4)eigenvalues and
eigenfunctions of matrix
5)caley-hamilton
theorem
6)diagonalisation
of matrix
chapter 2-ordinary
differential equations
1)second &higher order
linear differential equation with constant coefficients
2)general solution of homogenous and non-homogenous equation
3) method
of variation of parameters
4)simultaneous
linear equations
chapter 3-special
functions
1)power series
method
2)legendre
equation and polynomials
3)Bessel equation
4)orthogonal
property
laplace transformation
1)basic
properties
2)laplace
transform of derivative and integrals
3)differentiation
and integration of laplace transform
4)convolution
theorem
5)unit step
function
6)periodic
function
fourier series
1)introduction
to fourier series
2)fourier
series of half range series
3)complex
form of fouries series
4)numerical
harmonic series
fourier
transforms
fourier
integral
fourier sine
and cosine integral
Application
to boundary value problem in ordinary differential equation
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