Studying Tips for a first year in math/physics

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Starting a combined honours in mathematics and physics at university involves navigating challenging coursework, particularly in proof-based analysis for Calculus and Linear Algebra. It's crucial to adopt effective study strategies tailored to the university environment, which may differ from previous experiences. Emphasizing personal exploration of subjects rather than solely focusing on achieving high grades is important; a balanced approach to learning can lead to a deeper understanding and greater enjoyment of the material. Engaging in research opportunities with professors can be more beneficial than grades alone, as it provides practical experience and valuable recommendations for future academic or career pursuits. Persistence through difficult courses and maintaining passion for the subjects are key to success in this academic journey.
Justin Huang
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I'm starting my first year of university this September, and I'm trying to pursue an combined honours in mathematics and physics. I'm starting the standard physics course in first year, covering classical mechanics and electromagnetism and some special relativity, but I'm most worried for the math courses. I have to take a proof based analysis course for both Calculus and Linear Algebra. I know its going to be tough and I'm prepared to work for it, but are there any tips or helpful advice that anybody can offer for my position? I know how to study math/physics I think, but I think it'll be a lot different in university, regarding how to study and material.
 
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I think one of the most important things I learned in college was to not worry too much about how high your grades are, but to explore each subject in your own way and discover what interest you and what doesn't. Obviously you should try to do well in college by getting your coursework done on time, ample studying for tests, etc. but don't get wrapped up in trying to get a 4.0 while studying math/physics. It's just not a reasonable goal.

What was most important for me during my time as an undergraduate, was getting opportunities to work with professors on their research. This is often far more useful than just getting good grades. It allows you to see what really goes into developing new ideas in a field, plus that professor can now be a great recommendation for applications to jobs or grad school. Getting into a research group is often more about showing interest in subjects beyond your coursework rather than just getting A's. I had a mix of A's and B's and was able to work with two of my physics professors, not because of my grades but because I showed ability in material beyond what we were learning in the class.

Take college as an opportunity to learn and hone your skills. You will likely have a course or two were you struggle just to get a passing grade. Don't let that discourage you, just press on, do well in what you can, and be passionate about whatever you choose to study.
 
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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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