Mathematics-III

Solution of polynomial and transcendental equations Bisection method Newton-Raphson method and Regula-Falsi method Finite differences Relation between operators Interpolation using Newton’s forward and backward difference formulae Interpolation with unequal intervals Newton’s divided difference and Lagrange’s formulae

Numerical Differentiation Numerical integration Trapezoidal rule and Simpson’s 1/3rd and 3/8 rules Solution of Simultaneous Linear Algebraic Equations Gauss’s Elimination Gauss’s Jordan Crout’s methods Jacobi’s Gauss-Seidal and Relaxation method

Ordinary differential equations Taylor’s series Euler and modified Euler’s methods RungeKutta method of fourth order Milne’s and Adam’s predicator-corrector methods Partial differential equations Finite difference solution two dimensional Laplace equation and Poission equation Implicit and explicit methods for one dimensional heat equation Finite difference explicit method for wave equation

Laplace Transform Properties of Laplace Transform Laplace transform of periodic functions Finding inverse Laplace transform convolution theorem Evaluation of integrals by Laplace transform solving ODEs by Laplace Transform method Fourier transforms

Probability Mass function Probability Density Function Discrete Distribution Binomial Poisson’s Continuous Distribution Normal Distribution Exponential Distribution