What should I learn this summer?

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brushman
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Besides spending all my times playing video games, I want to do something productive this summer. I want to learn something.

I have wide interests including neuroscience, physics, computers, philosophy etc. but have never really pursued any of these.

The furthest math I know is calc 1 and 2.

So, given this, recommend me something fun/interesting! I learn from the internet or books.
 
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If I was in your position, I'd contact one of my professors to see if I can get a summer position in a lab or in some company she or he may be in contact with.
 
Forgot to mention I just graduated high school. I go to the uni this fall so I don't know any prof yet.
 
brushman said:
Forgot to mention I just graduated high school. I go to the uni this fall so I don't know any prof yet.

Take Calc III like me!
 
I think I want to learn linear algebra. I was planning on following http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2005/"

However, it has as a http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2005/syllabus/" of multivariable calculus but I've only had calc 1 and 2. Will this be a problem?
 
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You can study basic linear algebra without knowing any calculus (and by basic I mean first/second year level).