Programs Math classes to supplement CS degree

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For computer science students looking to supplement their degree, recommended classes include Number Theory, upper-level Discrete Mathematics, and various applied mathematics courses such as Numerical Analysis, Automata Theory, and Probability Theory. While Real Analysis may not be directly applicable to industry, it can still be beneficial for research. Additionally, classes focusing on practical applications, like those involving Matlab, are suggested. For improving proof skills, the book "How to Prove It" is recommended, as it covers essential logic and set theory concepts. Overall, a mix of theoretical and applied mathematics courses can enhance a computer science education.
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Hello Physicsforums, i am a computer science student and i am just wondering what would be some good classes to supplement my CS degree with. i have some free electives from AP courses and i don't really want to waste them. I was thinking of taking a Number Theory class and an upper level Discrete Mathematics class, but i still have a 2-3 more spots. Would analysis or upper level algebra be useful to me or would they be redundant classes?

also, on a side note, can you guys recommend me a book that would help me with proofs. a lot of these upper level classes are pretty proof heavy as i understand it and doing proofs was one of my weak areas in Calc 1 -3 (luckily those classes weren't proof heavy).

thanks in advance
 
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I don't think Analysis (I think you mean Real Analysis) has much to do with CS (from the industry perspective), I don't know about research.

Some classes which can be useful are - Discrete Mathematics, Numerical Analysis, Automata Theory, Data Mining, Signal Processing, Image Processing, Fourier Analysis, Probability Theory, Probabilistic Theory, Graph Theory, Combinatorics, Game Theory, Combinatorial Geometry, Logic, Complexity Theory, Number Theory. Those are the ones I can think of right now.
 
A book that helped me in a class that was all about proofs is titled How to Prove It. I forgot whom the author is but just search it on amazon and it'll pop right up. It covers a some basic logic and set theory.

About classes to help with a CS degree, my school offers some classes that focus more on application so you use Matlab a lot. Does your school offer anything like that? Some classes that my school offers are Matrix and Applied Linear Algebra, Numerical Methods, Complex Variables, and Fouriers Series. I think some kind of linear algebra is required by the CS department. Also they require probability or statistics. Also recommended math classes are modern algebra and introduction to analysis.
 
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"...
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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