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MTH603 : Numerical Analysis

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Course Info

Course Category

Mathematics

Course Level

Undergraduate

Credit Hours

3

Pre-requisites

MTH101

Instructor

1. Dr. Junaid Zaidi & 2. Dr. Ataullah Kalim
1. Ph.D (Optimization of Algorithms on Networking) , 2. Ph. D ( Fluid Mechanics )
1. University of Birmingham, England (UK), 2. University of Essex, Colchester, UK

Course Contents

Solution Of Non-Linear Equations Bisection method Newton’s method Secant method Method of false position Method of successive approximation Finite Differences Interpolation Difference operators and tables Newton's Forward Difference Formula Newton's Backward Difference Formula Lagrange’s interpolation Formula Divided Differences Error Term in Interpolation Formulae Differentiation Using Difference Operators Differentiation using Interpolation Richardson's Extrapolation Method Numerical differentiation Numerical Integration Trapezoidal and Simpson’s rule numerical integration techniques Numerical Techniques to Solve Ordinary Differential Equations Euler method Runge-Kutta method Predictor-Corrector Method Adam Moulton Method Convergence and Stability Introduction to Computational Software to solve the problems