Medical student interested in starting mathematics again

[sj24901]

Hey folks,

 

I'm currently a second year medical student about to start my third year.  Based on my schedule I should have about 4-5 hours a night to study something- I'd like to start mathematics again to get a better understanding and perhaps use it in research...

 

 My question is, what can I accomplish reasonably to learn? 

I am interested in probability - I'd like to get to the level of nonlinear dynamics, probability theory- stochastic processes, random walk processes. I'd like to get the basics of math down as well- like a fundamental understanding of topology, linear algebra, nonlinear, combinatorial mathematics...

I don't know how much of this I can accomplish but I was wondering what would be reasonable and where to start? 

Like I said- 5 hours a day of time+ maybe 1 of the weekends. I have a year of this available- fourth year I can add more time but its dependent on what I accomplish now. 

My end goal is to apply this mathematical knowledge to better understanding neuroscience- and I believe a strong understanding in probability and the application of math at an advanced level is necessary...

But I'm not sure what kind of realistic expectations I can have. 

Background: I am a medical student. I'm no math genius- but very capable of learning. My extent of mathematical education was differential equations in my senior year of high school...since then haven't touched it. 

I'm not dumb- but not genius either...

 

This is a list of the subject material I'm interested in:

 

https://www.coursera.org/course/compneuro

 

http://www.amazon.com/gp/product/0262041995/ref=as_li_tf_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=0262041995&linkCode=as2&tag=coursera-course97-20

 

 

[Quantum Buckyball]

You could use Khan Academy to refresh your memory, they have some very useful clips on there.