This lecture is for 3rd stage students in department of physics university of Sulaimani including both theory and practical subjects for one year (two courses) our refference is "Numerical Analysis , Algorithms And Computation" by J. Murphy , D.Ridout, Brigid McShane

new! Differential equations first order and second order by MATLAB


Lectures

First semester
Lecture 1 ( Errors) Lecture 2 (Iterative and bisection methods) Lecture3(Newton-Raphson Method) lecture 4(Real roots of polynomial equation-Birge Vieta Method) lecture 5(Interpolation -Finite diference) Lecture 6(Interpolation ,Gregory -Newton Forward -Backward Formula)Lecture 7(Divided differnces and Newton's Divided Difference Formula) lecture 8(Stirling and Bessel formula) lecture 9(Numerical Integration -Newton-Cotes formulae )lecture 10 (Numerical integration terapizum rule) lecture 11(Numerical integratin Simpson's rule and errors) lecture 12( Errors,Higher order integration & Romberg Integration) lecture 13( Open Integration)
Second semester
Lecture 1(Introduction to Differential Equations Numerical Solution) Lecture 2 (Methods Based On Open Integration) Lecture3(Methods Based On Closed Integration) lecture 4 (starting Methods Taylor and Picards) lecture 5 (Iterative Improvement Forth Order Predictor- Corrector) Lecture 6 ( More general Multi-Step methods ,Accuracy and convergence)Lecture 7(Error Propagation-Stability) lecture 8( System of equations and Higher order equations) lecture 9(Single step methods- Runge kutta Methods) lecture 10 (System of linear equations Triangular systems- forward and backward - Gaussian Elimination- pivoting)lecture 11( Triangular factorization)lecture 12( Iterative Techniques-The Gauss-Siedel method)

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First exam
Questions
Solutions
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Second Exam
Questions
1-Use Trapezium rule and simpson's rule with Romberg estimate Integral (sinx/(2+3sinx)) from 0 to 1
2-obtain Global error for Trapezium rule
Solutions by student( Saro Salam)
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Third exam (20/5/2010)
Questions
Solutions(1,2,3) by student ( Saro Salam)
Solution 4
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Final Exam
Questions
solutions
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