- 14

- 4

*(Update if you saw my last post about struggling in linear algebra 2 - I have been doing very well in groups and rings (the course that comes after it). I think most of my struggle was due to some burnout and time management issues.)*

I cover the standard undergraduate curriculum in math for physics - ODEs 1/2, PDEs, linear algebra 1/2, applied complex analysis, probability, and statistics. Also some applied math courses on quantum theory

I am also completing the majority of an analysis focused pure math curriculum (real analysis 1/2 which include topology, functional analysis, groups and rings) this has been going well this term since proofs and derivations come more naturally to me than rote computations (sign errors, misremembering procedure, etc)

I have completed the core classes, and I'm only left with 3rd and 4th year courses.

Rather than taking more courses (which is too much work and i'd learn a lot of useless-to-me stuff), I teach myself a lot of material (I mostly teach myself everything in all of my classes anyways - I learn better from books and discussions than from lectures). There are a few courses I don't know enough about - how valuable would it be to learn some:

Fields and Galois theory (prereq to some of the others listed)

Commutative Algebra

Representation Theory of Finite Groups

Measure and Integration

Algebraic Geometry

Geometry of Manifolds

Lie Groups and Algebras

or Algebraic Topology?

As these are offered at my school they would be the easiest to find study groups for and people to exchange knowledge with. Other suggestions are welcome!

If anyone is curious, see the AMATH and PMATH calendars for courses available to me.