Table of Contents
CAM Preparation
To prepare for UT’s computational and applied mathematics (CAM) program, it would help to take two graduate math courses at UTSA in the Spring of 2008.
UTSA Preparation
| Preparation | |||
|---|---|---|---|
| MAT 2233 | Linear Algebra | MAT 2213 Calc III | |
| Spring 2008 (UTSA) | |||
| UTSA | UT | Title | Prerequisites |
| MAT 5293 | CAM 383C/CS 383C | Numerical Analysis: Linear Algebra1) | UTSA: MAT 2233 Linear Algebra 2) |
| EGR 5513 | CAM 394F/EM 394F/AE 384P | Finite Element Methods | UTSA:none |
| Alternatives (UTSA) | |||
| MAT 5603 | CAM 383D/CS 383D | Numerical Analysis | UTSA: MAT 3633 Numerical Analysis, or consent |
| MAT 5613 | CAM 386K/M 383G | Numerical Treatment of Differential Equations | UTSA: MAT 5603 |
| CS 388G | Algorithms: Techniques and Theory | UT: consent or CS 357 Models of Computing | |
UT Degree Plan
The following degree plan is based on the Computational Engineering and Sciences (CES) program option. The Computational and Applied Mathematics (CAM) option is less flexible.
The Computational and Applied Mathematics (CAM) option stresses to some degree the mathematical (Area A) side of the program, and it is suited more to students with a solid undergraduate background in mathematics. This option also allows the student more time to explore and develop interests regarding an application topic for Area C, and more time to select a graduate advisor.
The Computational Engineering and Sciences (CES) option stresses the application area (Area C) and allows more time to develop graduate level proficiency in applicable mathematics (Area A). This option is suited to undergraduate engineering, science, and business students who know generally the application area of their interest, but who desire a slower-paced introduction to the intellectual demands of graduate level mathematics.3)
Courses in italics are alternatives available for the CES option.
| Area | Course | ||
|---|---|---|---|
| Fall 2008 | Fall 2006 | ||
| A | CAM 385C/M 383C | Methods of Applied Mathematics I | MWF 1-2 |
| CAM 386M/EM 386M | Functional Analysis in Theoretical Mechanics | MWF 11-12 | |
| B | CAM 383C/CS 383C | Numerical Analysis: Linear Algebra* | TTh 12:30-2 |
| C | CAM 397 | Introduction to Mathematical Modeling* | MWF 2-3 |
| Spring 2009 | Spring 2006 | ||
| A | CAM 385D/M 383D | Methods of Applied Mathematics II | MWF 9-10 |
| EM 386L | Mathematical Methods in Applied Mechanics | ||
| CAM 381N/PHY 381M | Methods of Mathematical Physics | – | |
| CAM 384K/M 385C | Probability | TTH 11-1230 | |
| EE 381J | Probability and Stochastic Processes I | ||
| CS 388C | Combinatorics and Graph Theory | ||
| CAM 397/M 390C | Discrete Mathematics | – | |
| B | Chose one: | ||
| CAM 383D/CS 383D | Numerical Analysis | TTH 1230-2 | |
| CAM 397/PGE 383 | Scientific Computation | – | |
| CAM 386K/M 383G | Numerical Treatment of Differential Equations | – | |
| CAM 394F/EM 394F/AE 384P | Finite Element Methods | MWF 2-3 | |
| CS 388G | Algorithms: Techniques and Theory | ||
| C4) | |||
| Select dissertation advisor.5) | |||
| *Preliminary exams may focus on these and are best taken at UT. | |||
| Complete by Fall 2011 | |||
| A | (At least two ‘A’ courses must be mathematics ‘M’ courses.) | ||
| A | |||
| B | |||
| B | |||
| C | |||
| C | |||
1)
Fall 2002 UT Text: Applied Numerical Linear Algebra by James W. Demmel, SIAM, 1997
2)
UT: consent or MAT 341 Linear Algebra or 340L Matrices and Matrix Calculations, and 368K. Numerical Methods for Applications
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