What should I learn this summer?

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The discussion centers on productive summer learning opportunities for a recent high school graduate with interests in neuroscience, physics, computers, and philosophy. Suggestions include pursuing a summer position in a lab or company, as well as taking advanced math courses like Calculus III or linear algebra. While the individual has only completed Calculus 1 and 2, it's noted that basic linear algebra can be studied without prior calculus knowledge. Resources such as MIT's OpenCourseWare are recommended for self-study. Engaging in these subjects can provide a solid foundation before starting university.
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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, philosphy 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).
 

Thread 'Self Learning Math/Physics'

Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
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Thread 'What should I do if I found a paper with same result as mine?'

Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
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