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Subject Syllabus

BT-401 – Mathematics-III

CSE • SEMESTER-4

Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal

Course Modules

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Bisection method Newton-Raphson method Regula-Falsi method Finite differences, Relation between operators Interpolation using Newton's forward and backward difference formulae Newton's divided difference formula Lagrange's interpolation formula

Numerical Differentiation Numerical integration: Trapezoidal rule Simpson's 1/3rd and 3/8 rules Gauss's Elimination method Gauss's Jordan method Crout's method Jacobi's method Gauss-Seidal method Relaxation method

Taylor's series method Euler method Modified Euler's method Runge-Kutta method of fourth order for first and second order equations Milne's predictor-corrector method Adam's predictor-corrector method Finite difference solution of two dimensional Laplace and Poisson equations Bender-Schmidt and Crank-Nicholson 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 by different methods Convolution theorem Evaluation of integrals by Laplace transform Solving ODEs by Laplace Transform method Fourier transforms

Probability Mass function Probability Density Function Binomial Distribution Poisson Distribution Normal Distribution Exponential Distribution