Catalog Data 1999-2000: ELEN 3381: Electrical Analysis. Credit 3. Application of the digital computer to analysis and design of electrical systems using numerical methods. Prerequisite: MATH 3401, ENGR 2311, ENGR 1301
Textbook: Ward Cheney and David Kincaid, Numerical Mathematics and Computing, 4th Edition, Brooks/Cole, 1999
References: Burden, Faires, Numerical Analysis, 5th ed.; Plybon, An Intro to Applied Numerical Analysis, (especially Ch 9); Yakowitz, An Intro to Numerical Computations.
Instructor: Bernard J. Maxum, Professor of Electrical Engineering
Goals:
1. Acquaint students with the potentials of the modern computer for solving numerical problems that may arise in their engineering careers
2. Give students opportunity to develop & hone their problem solving and programming skills.
3. Help students understand the subject of errors that arise in computing, and methods of detecting, predicting, and controlling these errors
4. Familiarize students with the intelligent use of powerful tools already learned, such as C++, Matlab, Maple, FORTRAN and others in attacking numerical problems.
Prerequisites by Topics:
1. KNOW AT LEAST ONE ENGINEERING PROGRAMMING LANGUAGE
2. Circuit theory
3. Integration, differentiation
4. Differential equations
Topics:
1. Taylor Series
2. Loss of significance
3. Number representation, errors
4. Roots of equations
5. Polynomial interpolation
6. Derivative estimate – Richardson extrapolation
7. System of equations – Naïve Gaussian elimination
8. Scaled partial pivoting
9. Ordinary differential equation methods
10. 1st order d.e. systems – Runge-Kutta methods
11. Monte Carlo methods
Computer Usage: This is primarily a numerical computations course. All numerical experiments require programs to be written.
Design Content: Many of the program assignments contain design elements in structuring the numerical computations in their order and the presentation of results.
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