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**One semester left for my Math BA -- Which courses to take?**

I'm going to graduate this Fall with my BA in Math from Penn State, and I have a really open-ended schedule. I'm planning on getting a MA in Secondary Math Education after I graduate, so that makes things pretty interesting when it comes to choosing classes. The only 400-level math course I HAVE to take is Classical Analysis (the second course in the Real-Analysis sequence). I also have to take another 400-level math course, but I have a lot of freedom in this area. Here's pretty much what I can choose from:

**MATH 451 (CMPSC 451) Numerical Computations (3)**Algorithms for interpolation, approximation, integration, nonlinear equations,linear systems, fast FOURIER transform, and differential equations emphasizingcomputational properties and implementation.

**MATH 455 (CMPSC 455) Introduction to Numerical Analysis I (3)**Floating point computation, numerical rootfinding, interpolation, numerical quadrature, direct methods for linear systems.

**MATH 467 (CSE 467) Factorization and Primality Testing (3)**Prime sieves, factoring, computer numeration systems, congruences, multiplicative functions, primitive roots, cryptography, quadratic residues.

**MATH 484 Linear Programs and Related Problems (3)**Introduction to theory and applications of linear programming; the simplex algorithm and newer methods of solution; duality theory.

**MATH 485 Graph Theory (3)**Introduction to the theory and applications of graphs and directed graphs. Emphasis on the fundamental theorems and their proofs.

**MATH 486 Mathematical Theory of Games (3)**Basic theorems, concepts, and methods in the mathematical study of games of strategy; determination of optimal play when possible.

Besides math, I have two more electives which I can use on pretty much anything I want (except lower-level math courses). I'm not really sure what to use these credits on. I'm planning on going into education after I get my BA, but it would make me feel good to take some courses that might make me more marketable if I eventually chose to try to get an industry job. Any courses that might jump out at me as really interesting (or really useful)? My non-math interests include computer programming and playing music (I play the piano and some other instruments).

Sorry for the long list of course descriptions. I hope that didn't scare too many of you away!

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