I intend to apply to various Ph.D. programs soon. The Masters program in Applied Mathematics is only a year long which means there's little time to "settle in". Therefore, my coursework and performance in the Autumn quarter will be very important since that will be the only graduate quarter Ph.D. programs will see! Since my undergraduate resume isn't much to look at, I have to make this quarter count as much as possible.
My schedule for this quarter will consist of some of the following classes. I'd like to take them all but since there are only 24 hours per day I'll have to choose. The first list are my top candidates:
- AMath 584: Applied Linear Algebra --- This is a standard course that all applied math students need to take. I was hoping to take this course anyway since I see something computational linear algebra-related in my future.
- AMath 514: Network Optimization --- A course taught in conjunction with the mathematics department on networks and flows. I did some stuff with hidden Markov models and thought it was fun. Plus, every mathematician should have some graph theory in their Bat-Belt. Also, it's nice to have a class that's a bit outside one's core interests.
- Math 554: Linear Analysis --- A "highly theoretical" course in linear analysis and matrix theory. Of the three professors who's work interests me thus far (Bernard, Anne, and Randy) this is a highly likely pre-requisite. Plus, I'll need to wean myself off of proofs if I'm going to be taking more applied math courses in the future. :)
Here are some other courses I'm interested in. For the sake of time and the need to fulfill prerequisites, I might have to take them at a later time:
- AMath 567: Applied Analysis --- This is a "condensed" version of the Math 554-556 series; of which I'm hoping to take as indicated above. I'd hate to let go of it since Anne is an excellent professor.
- AMath 570: Perturbation Methods and Asymptotics --- A core course for the Ph.D. track. Even though I don't fulfill the requirements, it would be good to take for the sake of proving myself worthy of the Ph.D. program. Tough decisions all around...
In addition, I'm taking two reading courses: an RA / reading course with Randy on Clawpack and Finite Volume Methods as well as a reading course with Bernard on Riemann surfaces and their applications to solving shallow-wave equations.
This is going to be a tough quarter. However, I hope to prove my worthiness to whatever high powers are selected to determine my possible future as a Ph.D. student. In the end, I think this year is going to be fun and very educational. That's the most important, right?

