How Can I Best Prepare for Differential Equations?

AI Thread Summary
The discussion centers around preparing for a challenging upcoming academic year focused on differential equations (DEs) and Maxwell's equations. A member seeks advice on the best ways to learn differential equations, recognizing their importance for future courses. Recommendations include purchasing a DE textbook and utilizing Schaum's outlines, specifically the "Modern Introductory Differential Equations" for practice problems. While this outline does not cover partial differential equations (PDEs), there is a separate Schaum's outline available for PDEs. Additionally, textbooks like Strauss's for PDEs and "Ordinary Differential Equations" by Pollard and Tenenbaum are suggested for their comprehensive content and problem sets.
theomicron
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Hi everyone,

First, I'll apologize if this is posted in the wrong forum; I couldn't see any more fitting categories.

Secondly, I just wanted to introduce myself. I've been a member for a little over a year, but haven't contributed since I didn't think I had anything useful to contribute academic wise; now that I've finished my first year of engineering, I can help answer some of the more basic calculus questions.

My main question is this: next year I am being thrown head first into four courses all dealing with DEs (in all forms) and maxwell's equations. What is the best way to learn/prepare for differential equations? I understand that they present a very solid foundation for later courses so they're very important.

Cheers!
 
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I would say buy the DE book now and start grinding away. I would also recommend getting the Schaum's outline entitled "Modern Introductory Differential Equations". It has many problems with detailed solutions, and even more problems with just the answers.
 
Great! Thanks for the quick response. I'll see if I can find a copy of Schaums somewhere. Do you happen to know if that covers PDEs as well?
 
It doesn't but there's another Schaum's outline entitled "Partial Differential Equations". I have them both, and I like them. If you want an honest-to-goodness textbook on PDE's I would recommend Strauss. It's the one I was taught from, and I really liked it.
 
Another good one to look at might be "Ordinary Differential Equations" by Pollard and Tenenbaum. Lots of problems, and quite comprehensive. (And it's a Dover, so it's pretty cheap.)
 
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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