Printable Version| Computational Methods in CE. UGrad |
Course Description:
Solution techniques with civil engineering applications. Concepts from probability and statistics, linear algebra, and numerical methods. Programming in the Matlab environment. Three one-hour lectures and one two-hour laboratory per week. Corequisite: .
Text book: Probability Concepts in Engineering, Emphasis on Applications to Civil and Environmental Engineering, A. H-S. Ang, and W.H. Tang, 2nd Edition, 7th edition, John Wiley and Sons, Inc.
Numerical Computing with Matlab, Cleve Moler, SIAM, 2004.
References:
Applied Statistics and Probability for Engineers, Montgomery & Runga
Introduction to Probability and Statistics, Milton & Arnold
Mathematical Statistics with Applications, Menderhal, Scheaffer, Wackerly
Applied Numerical Methods with matlab, Chapra
Numerical Methods for Engineers, Chapra, Canale
Numerical Methods, Algorithms and Applications, Fausett
Applied Numerical Methods using Matlab, Fausett
Applied Numerical Methods using Matlab, Yang, Cao, Chung, Morris
Location and Hours:
Lecture: T-TH 8:00 - 9:15AM,
Lab: M 2:00 - 4:00PM
| Syllabus | | Handouts | | Assignments | | Sample Exams | | Links |
Course Handouts in PDF
Class Lectures
| No. | Description | File |
|---|---|---|
| 1 | Introduction to Matlab and Programming | Lecture 1a Lecture 1b 9/6/07 EX. |
| 2 | Introduction to Prob. & Descriptive Stat. | Lecture 2a Lecture 2b 9/17/07 EX. |
| 3 | Probability Models | Lecture 3 |
| 4 | Analytical Models - Random Phenomena | Lecture 4 10/02/07 EX. |
| 5 | Functions of Random Variables Central Theorem, Taylor Approx. |
Lecture 5 |
| 6 | Statistical Inference | Lecture 6 |
| 7 | Single Variable Problems Root Finding |
Lecture 7 10/25/07 ML |
| 8 | Linear Algebra Review | Lecture 8 |
| 9 | System of Linear Equations | Lecture 9 11/08/07 ML |
| 10 | System of Non-linear Equations | Lecture 10 11/19/07 ML |
| 11 | LU & Cholesky Decompositon | Lecture 11 11/20/07 ML |
| 12 | Matrix Invertability | Lecture 11b |
| 13 | Eigen Analysis | Lecture 12 11/29/07 ML |
| 14 | Interpolation and Approximation | Lecture 13 12/6/07 ML |