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MATH-805 Computational Mathematics
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Campus
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SNS
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Programs
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PG
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Session
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Fall Semester 2016
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Course Title
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Computational Mathematics
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Course Code
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MATH-805
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Credit Hours
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3-0
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Pre-Requisutes
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Course Objectives
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Detail Content
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Introduction to Numerical Analysis, Solutions of Equations: (Bisection Method, Newton-Raphson Method etc., Error Analysis for Iterative Methods), Interpolation: (Lagrange and Divided Difference Interpolation, Spline Interpolation), Numerical Differentiation: (Difference Formulae, Error Analysis), Numerical Integration: (Trapezoidal and Simpson’s Rule, Error Analysis), Multiple Integration, Initial Value Problems for ODE’s: (Euler’s and Runge-Kutta Methods), Higher Order ODE’s, Error Analysis and Stability, Linear Systems of Equations: (Gauss Elimination, LU factorization), Gauss-Siedal Method, Error Analysis and Convergence.
Eigenvalues: (Inclusion Theorems, Power Method), Boundary Value Problems for ODE’s: (Shooting Method), Numerical Solutions for PDE’s: (Elliptic PDEs., Irregular Boundries), Parabolic PDEs. Hyperbolic PDEs.
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Text/Ref Books
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Textbook: Numerical Analysis (Fifth Edition)
Author: R. L. Burden and J. D. Faires
Publisher: PWS Publishing Company, Boston, 2000
Reference: Applied Numerical Analysis (Third Edition)
Author: C. F. Gerald and P. O. Wheatly
Publisher: Addison-Wesley Publishing Company, 1985
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Time Schedule
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Fall Semester 2014
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Faculty/Resource Person
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Dr. Yousaf Habib
PhD, Mathematics (Auckland, New Zealand)
Discipline: Computational Mathematics
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