Courses Scheduling and Pre-Requisites, Advice on what courses to take please.

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A freshman who completed Calculus 1 and 2, along with calculus-based physics, is preparing for their second year and considering several courses, including Calculus 3, Differential Equations, and various linear algebra classes. They are contemplating taking Differential Equations concurrently with Calculus 3, seeking advice on preparation and feasibility. The discussion highlights that the ability to take both courses together depends on the specific topics covered in Calculus 3 and their relevance to Differential Equations. It is noted that most universities only require Calculus 2 as a prerequisite for Differential Equations. The participant is also evaluating two linear algebra courses, with a recommendation favoring Linear Algebra 2 due to its relevance in quantum mechanics, while Applied Linear Algebra is viewed as more specialized and less beneficial for a physics major. Additionally, there is curiosity about the usefulness of Set Theory and Logic, primarily as a prerequisite for advanced mathematics courses.
Jarbear
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So I am a freshman that is done his first year, I took the Cal 1 and 2 sequence along with the calculus based physics course at my university. I only earned a C in calculus 2 but I do not think it will be a problem as I am quite sure I will be able to get the necessary waivers signed.As the summer passes I am confident I will be prepared for my math courses as I plan to work through a textbook on calculus .

Now that I am signing up for my second year I have a lot of courses available that I would like to take, and that I need to take.
Those courses being ( Underlined I NEED 100%, italics I might need or are recommended)
Calculus 3
Numerical Analysis
Calculus 4
Modern Physics
Mathematical Physics
Electricity and Magnetism
Ordinary and Partial Differential Equations


Stellar/Galactic Astrophysics
Applied Linear Algebra
Linear Algebra 2
Set Theory and Logic


Now the thing is the Differential Equations course requires Calculus 3 , but it is offered in the same semester. Would it be possible to do both concurrently ? Assuming I get permission of course. If I am able to take the course is there anything I should to to prepare myself beforehand ?

Since there are two linear algebra courses , and they are offered in the same slot for some odd reason, I have to choose one.
Here are the descriptions:
Linear Algebra 2
Topics covered will include: Fields, abstract vector spaces, bases and dimension, linear mappings and operators, similarity and diagonalization, inner products and Gram-Schmidt orthonormalization.

Applied Linear Algebra
Topics covered may include: the geometry of n-space, linear and affine discrete dynamic systems, Markov processes, linear programming and linear differential equations.

Which of those two courses, judging by the topics, is better for a physics major ?

Now the set theory and logic I am thinking about just for the sake of curiosity,and if I decide to take any upper year math courses it is a prerequisite for many of them ( such as modern algebra and analysis). Would it be very useful for a physics student or would it be more important just as a prerequisite to the higher mathematics courses ?

If you managed to read through most of this thank you and if you have any comments or advise I would greatly appreciate it
 
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Jarbear said:
the Differential Equations course requires Calculus 3 , but it is offered in the same semester. Would it be possible to do both concurrently ?

That depends on which topics are covered in your university's Calculus 3, and which of those are necessary or useful for Differential Equations. In the USA, most universities have a three-semester calculus sequence, and I think most of them require only Calculus 2 as prerequisite for the first course in Differential Equations.
 
The only recommended course I'd say you 100% ought to take is linear algebra 2. All of those topics are used extensively in quantum mechanics, and you will be able to concentrate on the physics if you aren't busy worrying what the hell it means to diagonalize a Hamiltonian like your classmates. The applied linear algebra class sounds much more specialized and not as useful.
 
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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