Preparing for Senior Year Math & Physics Classes: Tips Needed

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Preparing for Discrete Math and Number Theory requires a solid understanding of mathematical proofs, as both subjects heavily involve proof-writing. It's advisable to review proof techniques, including strong induction, and practice translating between formal logic and English statements. While Discrete Math and Number Theory share similarities, they have distinct focuses; Discrete Math often aligns more with computer science applications. Additionally, brushing up on basic physics concepts may be beneficial for the Electrodynamics & Kinetic Theory course. Overall, focusing on proof-writing skills and foundational concepts in both math and physics will enhance readiness for these challenging classes.
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I'm a senior in college that just switched from a Bio major to a Math major. In the fall, I'll be taking:

Discrete Math
Number Theory
Electrodynamics & Kinetic Theory
Piano
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I have a summer to prepare for the two math classes and one physics class. Do you have any tips on things to go over before I begin this classes? Should I learn how to write proofs? Should I go over basic physics?

Thanks for your help!
 
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in math those classes involve proofs, so review those.
 
2 very tough classes...

Odd, Discrete Math I thought was very similar to Number theory or that's what my computer science professor said. The math majors had to take number theory while we took discrete math.

Learn strong induction it will help!
Also going from universal/exist to English and vice versa will help.
 
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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