This course is intended to provide a foundation in mathematics for graduate students in all engineering disciplines. There are brief reviews of several mathematical topics that graduate students in any engineering discipline should have encountered during their first degree. An introduction is provided to other topics that many graduate students will not have met during their undergraduate studies, but which may be needed during their chosen careers.
In 2008 Fall the following topics are scheduled to be covered:
- Ordinary Differential Equations (including Laplace transforms)
- Perturbation Theory [2.1-2.4 only; not in the final examination]
- Matrix Algebra
- Stability Analysis [except 4.10]
- Numerical Methods
- Calculus of Variations [6.1-6.3 only]
- Fourier Series [7.1-7.3 only]
- Gradient Operators
- Partial Differential Equations [not in the final examination]
[Note: |
The program
MathType
was used to generate many of the equations on these web pages.
If you do not have MathType version 5 or higher
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properly. Otherwise some symbols will be
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” (implies), 
” (alpha), 
” (theta), 
” (phi), 
” (rho), 
”
(summation symbol),
” (minus sign).
