What Were the Hardest Math Subjects When Starting Physics as a Bachelor Student?

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Struggling with advanced mathematics, particularly infinite series and their tests like the Integral Test, is a common challenge for recent physics graduates. Mastery of a few key mathematical tricks can significantly impact grades, with a small set of techniques often leading to better understanding and performance. Important topics to focus on include power series, complex numbers, linear equations, and Fourier series, as they provide foundational insights. Differential equations also require attention to fundamental concepts despite having numerous tricks. For effective problem-solving practice, resources like the Schaum's Outline series are recommended. Specific techniques, such as integrating with respect to y before x in double integrals and strategic row operations in matrices, can simplify complex problems. Additionally, understanding Euler's formula enhances comprehension of trigonometric relationships, illustrating the interconnectedness of mathematical concepts.
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I'm a recent bachelor student into physics and I am really struggling with these type of maths. Especially infinite series and its tests, the Integral Test and etc. If it was easy for you, what type of books did you use or methods?
 
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A lot of undergraduate math subjects have a small set of tricks. If you learn 3, you get a C, learn 5 and you get a B, learn 7 and you get an A. You must survive that, but often those tricks do not give you great insight. Keep your eyes open for the exceptions: power series and complex numbers, linear equations, fourier series, etc. Those are the subjects that you really want to take to heart. The subject of differential equations has a dozen tricks, but the basics are really fundamental. You can tell that if there is an entire math class on a subject, then you will see a bit of it in the early classes that you should pay special attention to.
For practice in solving problems, I always recommend the Schaum's Outline series.
 
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The one trick among many that i still recall was integrating y first before x in a double integral.

The prof mentioned it in passing and then on the surprise quiz he had such an integral impossible to integrate starting with x first but a piece of cake when starting with y.

Another was from Linear Algebra, in adding and subtracting rows in a matrix to get a 1 value in a column over dividing the selected row by the inverse of the column number.

More recently, I learned that Euler's formula could be used to derive the sin/cos relationships for adding and subtracting angles.
 
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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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