Module-1: Numerical Methods-1

Regula Falsi Method
Newton Raphson Method
Interpolation with Equal Intervals
Newtons Divided Differences Interpolation
Lagranges Interpolation

Module-2: Numerical Methods-2

Numerical integ Appl of num integ to velocity of a particle and volume of solids
Numerical solution wave, heat and two dimensional Laplace’s equation
extremal problems

Module-3: Statistical Methods and Calculus of Variation

calculus of variation
functional
extremal problems
problems extremal
minimal surface
hanging cable bridge problem
Curve Fitting 1

Module-4: Fourier series

Fourier Series in pi,pi
Fourier series
Fourier series
FT of xsinx
FT of xsinx
Fourier series of discontinuous fun
More pbms based on Fourier
Fourier expansion in 0,2l
More pbms
Even and odd functions
Even and odd functions
Half range series
Half Range Series
Pbms on Half range
Cont

Module-5: Fourier Transforms & Z – Transform

FOURIER TRANSFORM
Fourier and Inverse Fourier COSINE and SINE Transform
Z TRANSFORMS DEFINITION AND RULES
Z TRANSFORMS OF STANDARD FUNCTIONS & INITIAL AND FINAL VALUE THEOREMS
INVERSE Z TRANSFORM BY PARTIALFRACTION METHOD & SOLVING OF DIFFERENCE EQUATION BY Z RANSFOR