What mathematical backgrounds is needed for cosmology?

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Hi there!

I would like to know, what kind of mathematical background is needed for cosmology? I'm about to reach 50% of undergraduate physics and I appreciate if you could point it out some interesting courses I can take to build a strong basis for a «future» cosmology masters or phd degree.

Also good books related would be great!

I appreciate your time.
 
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Welcome to PF;
You should look at the cosmology papers at your college (they will be listed in the prospectus) and see which papers are listed as pre-requisites. Those same prerequisites will have assigned and recommended reading/texts.
Note: The ability to do this would be seen as an important requirement for doing senior undergrad/post-grad courses.

Basically: you will need to know about linear algebra, esp. tensors, and differential equations.
Right now, online papers like:
http://preposterousuniverse.com/grnotes/grtinypdf.pdf
... should give you an idea if you want a head start.
 
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