I'm currently self-studying mathematics according to a modified version of this program: http://verbit.ru/Job/HSE/Curriculum/all.txt (it's in Russian).
Since I'm also working full-time, I'm able to devote about 5 hours every day 6-7 days a week.
My question is -- would you suggest studying 1 subject at a time doing a 1.5-2 month sprint, or going through 3 subjects at the same time in 6-7 months? I'm wondering what other strategies worked for people in the past. I tend to do 1 day, 1 week, and 1 month review after I read something to make sure I understand it, but doing that with more than one subject at a time is proving problematic as concepts often intertwine and I don't feel like I'm getting enough focus on a particular thing.
My background is actually in pure math (a decade ago), but I've been working in industry (speech recognition) for a while now, and suddenly have a desire to re-visit and re-learn my math skills.
Thanks!
Note: the program presented in Russian is roughly as follows (I do not own this program nor am I promoting it. Just seemed advanced and interesting enough.)
Semester 1
Metric geometry and topology
Fundamentals of algebra and linear algebra
Analysis: limits, sequences, and smooth functions of one variable
Fundamentals of set theory
Semester 2
Linear algebra (Jordan normal form, Hermitian symmetric spaces)
Measure theory, Lebesgue integration
General topology, fundamental group, covering spaces
Algebra: presentation of finite groups and Galois theory
Analysis on R^n and definition of manifolds (atlases, sheaves, and homeomorphism to subspaces in R^n)
Semester 3
Analysis on manifolds
Fundamentals of commutative algebra
Measure theory and fundamentals of complex analysis
Lie algebras, differential equation (via phase portraits mostly)
Semester 4
Complex analysis
Algebraic topology
Differential geometry (Riemannian manifolds)
Lie groups and Lie algebras
PS. Mathoverflow noted that my question will be better posted here.