Is This University’s Math Program Rigorous Enough?

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The discussion centers on concerns about the rigor of a nearby university's mathematics program, specifically regarding its suitability for studying math. The individual is seeking feedback on the university's past exam papers from various advanced math courses, including real analysis and algebraic number theory, to assess the program's quality. Responses emphasize that while course content is important, the overall quality of a math department is also influenced by faculty research output and teaching effectiveness. It is suggested that students should take initiative in their education by supplementing classroom learning with independent study, as personal effort can significantly impact academic success and preparedness for advanced studies.
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Well, to keep it short I'm thinking about going to a university near by. However after reading around on the internet it seems as though some think it's not so good at maths (which is what I'll be going to study.)

I've looked online and found a sample of their past papers in the following courses:

Real analysis
Complex analysis
Applied maths (called mathematical methods 4?)
Algebraic number theory
Geometry and topology
Riemann Surfaces and Algebraic Curves
Groups and Rings

Now, if someone has the time - could you please send me a pm/post here and I'll send you the pdfs of the past papers so you can comment if it's "rigorous" enough, or if up to some standards.

The reason I'm asking is because I'll be paying a lot to go the university and I really want to get the best possible education for my money, and hence don't want to go somewhere who have an easy course.

thank you
 
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I'm quite sure that every university will cover the general topics of each of those subjects and beyond that it would be subjective to the professor. It's an undergraduate math class; the gauge of whether a math department is "good" or not has to do with what kind of research is being produced from it and whether the professors in it are competent in their ability to relay theorems/definitions/examples to you... In sum, it's just undergrad and you're probably overthinking.
 
Whether something is rigorous enough depends on you. If you only depend on the math department and your classes for your education, then you might end up with too little knowledge (depending on the university). It is important for you to take education into your own hands and study extra outside the class.

For example, my undergrad mathematics was pretty good. But some people nevertheless went beyond what they saw in the courses. Those are exactly the people who excelled in the classes and went on to a PhD program.
 
micromass said:
Whether something is rigorous enough depends on you. If you only depend on the math department and your classes for your education, then you might end up with too little knowledge (depending on the university). It is important for you to take education into your own hands and study extra outside the class.

For example, my undergrad mathematics was pretty good. But some people nevertheless went beyond what they saw in the courses. Those are exactly the people who excelled in the classes and went on to a PhD program.

I thought you were in high school micromass. lol
 
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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