المرفقات
الخطة الدراسية
EE3561  -  Computional Methods in Electrical Engineering
عدد الوحدات عدد الساعات
نظري عملي
1 0 0
وصف المقرر

Introduction to computational methods using computer packages, e.g. Matlab, Mathcad or IMSL. Solution of non-linear equations. Solution of large systems of linear equations. Interpolation. Function approximation. Numerical differentiation and integration. Solution of the initial value problem of ordinary differential equations. Applications on Electrical Engineering.

المتطلبات

Math 1070, Math2040, CS1090

الكتاب

R W Hamming, "Numerical Methods for Scientists and Engineers", Courier Dover Publications, Last Edition.

Erwin Kreyszig, "Advanced Engineering Mathematics", / Paperback / Wiley, John & Sons, Last Edition.

Steven C. Chapra and Raymond P. Canale. “Numerical Methods for Engineers”, McGraw-Hill, Sixth Edition

المؤلفين
المحاضرين

Dr. Mujahed Mohammed Al-Dhaifallah,

Eng. Mohammed Alansi

احتساب الدرجات
الأهداف
الموضوعات
الأسبوع الوصف - القراءة  

Topics to be Covered

Week

Topics

Delivery

Assessment

1-2

Introductory material:

Absolute and relative errors, Rounding and chopping, Computer errors in representing numbers (sec 3.1-3.4).

Review of Taylor series (sec 4.1),

Lect. & Tut.

Quiz, Assignment, Test1, Final Exam

3-4

Locating roots of algebraic equations:

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

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

Lect. & Tut.

Quiz, Assignment ,Computer Test,Test1, Final Exam

5-6

Systems of linear equations: 

Naïve Gaussian elimination(sec 9.2)

Gaussian elimination with scaled partial pivoting

Lect. & Tut.

Quiz, Assignment, Computer Assignment, Test1, Final Exam

7-8

The Method of Least Squares:

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

Lect. & Tut.

Quiz, Assignment, Computer Assignment, Test2, Final Exam

8-10

Interpolation:

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

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

Lect. & Tut.

Quiz, Assignment, Computer Assignment, Test2, Final Exam

10-11

Numerical Differentiation:

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

Lect. & Tut.

Quiz, Assignment, Computer Assignment, Test2, Final Exam

12-13

Numerical Integration:

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

Lect. & Tut.

Quiz, Assignment, Computer Assignment,  Final Exam

13-15

Ordinary differential equations: 

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)

Lect. & Tut.

Quiz, Assignment,  Final Exam