This morning, I met with the graduate advisor and we hammered out my schedule for the fall. I'll be taking four courses rather than the usual three since I have a fellowship and don't have to work as a TA this year. The final schedule is as follows:
5000 Instructional Issues for the Professional Mathematician
This is the class for new TA/TF's. I guess I get to take it this year even though I won't really be a TA/TF until next year. This one also meets twice before the semester starts (so, next week).
5010 Mathematical Logic and Set Theory
This isn't a normal course in the sequence, I don't think, but more of a one-off. The advisor recommended it as being probably very interesting and possibly a good prep for topology later on.
5310 Functions of a Real Variable
This is the first course of the core sequence for real analysis. After this course and its successor, I could be ready to take the qualifying exam in real analysis.
5810 Probability & Statistics
Prob/stats is not a required core sequence at UNT, but they do have a qualifying exam in it (new this year; nobody has taken it yet, ever), and this is the first course of the sequence for that one.
Dr. B originally had me starting the Algebra sequence instead of Prob/Stats, but I told him I might want to do research in probability ultimately, so we swapped it out so this would happen earlier in my graduate career.
My first job at this stage in the game is to pass two qualifying exams, so it's important to get to the four required core sequences (real analysis, complex analysis, algebra, and topology) as soon as I can. If we count prob/stats (which we can since it has a qual associated with, even though it's not one of the required four sequences), I'll be taking care of two of those this year. Dr. B would like me to take my first qualifying exam next August and the second one in January of '12. I technically have four years to pass two of these exams, but doing it earlier is better.
I also got my campus ID and access to the computer labs (password, etc.) so I'm doing pretty well.
The plan for next semester is that I will take the continuation of the prob/stats, analysis, and logic courses, plus either the introductory topology course (the prelude to the core sequence in topology) or a reading course in something or other (to help me prepare for one of the exams).