• ### EE3561 _Syl342

نموذج وصف مقرر دراسي

##### الخطة الدراسية
 EE – 3561  -  Computational Methods in Electrical Engineering عدد الوحدات عدد الساعات نظري عملي 8 60 0
##### وصف المقرر

TOPICS                                                                                                                                 No. of Lectures(50 min.)

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1.             Introductory material:                                                                                                     3

Absolute and relative errors, Rounding and chopping, Computer

errors in representing numbers (sec 3.1-3.4).

Review of Taylor series (sec 4.1),

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2.             Locating roots of algebraic equations:                                                                       4

Graphical Methods ( Sec 5.1), Bisection method (Sec 5.2),

Newton method (sec 6.2), Secant method (sec 6.3),

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3.                   Systems of linear equations:                                                                                           4

Naïve Gaussian elimination(sec 9.2)

Gaussian elimination with scaled partial pivoting

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4.             The Method of Least Squares;                                                                                        3

Linear Regression (Sect 17.1), Polynomial Regression (Sect 17.2)

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5.             Interpolation:                                                                                                                      4

Newton’s Divided Difference method (Sec. 18.1),

Lagrange  interpolation (Sec 18.2),  Inverse Interpolation (Sec 18.4)

6.           Numerical Differentiation:                                                                                               3

Estimating derivatives and Richardson’s Extrapolation (sec. 23.1-23.2).

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7.             Numerical Integration:                                                                                                    4

Trapezoidal rule (sec. 21.1), Romberg algorithm (sec 22.2).

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8.             Ordinary differential equations:                                                                                   5

Euler’s method  (sec 25.1), Improvements of Euler’s method (sec 25.2),

Runge-Kutta methods (sec. 25.3),

Methods for systems of equations (sec 25.4)

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##### المتطلبات

Pre-requisite :  Math 1070, Math2040, CS1090

##### الكتاب

Numerical Methods for Engineers

##### المؤلفين

Steven C. Chapra and Raymond P. Canale.