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Subject Syllabus

BT-401 – Mathematics-III

CSIT • SEMESTER-4

Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal

Course Modules

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Solution of polynomial and transcendental equations – Bisection method, Newton-Raphson method and Regula-Falsi methodFinite differences, Relation between operatorsInterpolation using Newton's forward and backward difference formulaeInterpolation with unequal intervals: Newton's divided difference and Lagrange's formulae
Numerical DifferentiationNumerical integration: Trapezoidal rule and Simpson's 1/3rd and 3/8 rulesSolution of Simultaneous Linear Algebraic Equations by 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 methodsRungeKutta method of fourth order for solving first and second order equationsMilne's and Adam's predicator-corrector methodsPartial differential equations: Finite difference solution two dimensional Laplace equation and Poission equationImplicit and explicit methods for one dimensional heat equation (BenderSchmidt and Crank-Nicholson methods)Finite difference explicit method for wave equation
Laplace Transform, Properties of Laplace Transform, Laplace transform of periodic functionsFinding inverse Laplace transform by different methods, convolution theoremEvaluation of integrals by Laplace transform, solving ODEs by Laplace Transform methodFourier transforms
Probability Mass function, Probability Density FunctionDiscrete Distribution: Binomial, Poisson'sContinuous Distribution: Normal Distribution, Exponential Distribution