I am currently a traditional sophomore math major at a large university in the southern USA. I'm interested in attending graduate school once I graduate, but my university has a weak math program, and I am afraid it will severely effect me in the future.
For example, the department only routinely offers the most basic undergraduate courses, such as a two semester sequence of real analysis, one complex analysis class, basic topology, and algebra. Starting my junior year, I will be running out of math classes to take, and it will be hard to construct a schedule that makes me a full time student. By my senior year, directed studies will be my only option for classes.
Some solutions I've thought of
- Apply to math summer programs and other enrichment programs like REUs
- Transfer to a different school
- Get a relevant minor or double major
The problem with transferring is that my upper division math classes are not transferable to other schools in the state. I would have to retake every math class I've taken other than calculus, and it would take me at least 3 additional years at another school.
The only constructive advice I've received from faculty at my school is to graduate in three years. I do not like the idea of graduating early because I've simply exhausted the departments offerings. I also do not think a PhD admission committee would look favorably upon that.
What other courses of action should I look into?