Physics Advanced Beyond Calc I - Need Advice

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A student faced a dilemma after choosing to take a more advanced calculus I course instead of calculus III, which led to challenges in their physics class that requires knowledge of calculus II and III topics. They are considering self-studying calculus III to keep up with the physics curriculum and seek recommendations for suitable textbooks. Responses indicate that self-teaching calculus III is feasible, especially for physics or engineering majors. Stewart's "Calculus" is recommended as a solid resource for self-study, although it lacks rigor. Additionally, H.M. Schey's "Div, Grad, Curl, and All That" is suggested for its focus on vector calculus, which aligns with the student's needs. The discussion emphasizes the importance of having the appropriate math background before tackling advanced physics courses.
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So i was given the option of taking calc III freshmen year because of a placement test, but decided to take calc one, albeit a more advanced and theoretical calc one, but nonetheless calc one. Something i didnt forsee was my physics course advancing beyond calculus that i had learned previously. The class i am in requires you to take calc II next in order to fully complete the course. I was wondering if anyone thinks it would be possible for me to pick up a text covering calc III topics and teach myself enough to be able to do the physics and if so are there any recommended texts? Any help would be greatly appreciated!

Thanks!
 
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I think it's possible to teach yourself enough Calc III to get by in physics classes. In fact, learning math on your own is something your should learn as quickly as possible if your a physics or engineering major.

Ideally you shouldn't have to learn math on your own. You should have the math course before you take the physics course needing the math. As you just found out though, it doesn't always work out that way!

I think Stewart's "Calculus" is easy enough to self study and is a very well-rounded book (not too hard, not too easy). It's one problem is that it is not a very rigorous text. This shouldn't be a problem though if your plan is to learn this to use in a physics class. If you were self studying to prepare for a proof-based analysis course on the other hand, I would not recommend Stewart.
 
pick up div grad curl and all that. but i don't understand- if the class requires calc 2 why are you worrying about calc 3?
 
G01 thanks very much for the response...i'll definitely check out stewart's. And Ice, I am sorry if i wasn't clear, but what i meant is that there are calc III topics in my phyiscs class and i have only taken the equivalent of calc II.

Thanks again!
 
naes213 said:
G01 thanks very much for the response...i'll definitely check out stewart's. And Ice, I am sorry if i wasn't clear, but what i meant is that there are calc III topics in my phyiscs class and i have only taken the equivalent of calc II.

Thanks again!

ice109 also may not have been clear. Div, Grad, Curl, and All That:An Informal Text on Vector Calculus,

http://www.wwnorton.com/college/titles/math/div4/contents.htm

is a book by H.M. Schey. If your library has a copy, take a look to see if this infamous book can help.
 
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George Jones,

Good call! I did not realize that what ice109 referred to was a title of a book and it turns out that my library has it and it seems to fit the bill for what I was looking for. Thanks for the 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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