Difference in BS and MS Applied Math

AI Thread Summary
The discussion centers on the decision-making process for pursuing a Master's degree in mathematics, specifically between applied and pure math, following a Bachelor’s in applied math. Key points include the distinction between a Master's and a Bachelor's in applied math, with an emphasis on the increased rigor and workload at the graduate level. The conversation highlights that a coursework-only MS in applied math may build on existing knowledge, while a thesis-based program could be more demanding. There is also a cautionary note regarding the opportunity cost of pursuing a pure math MS if a PhD is not the end goal. The necessity for a strong foundation in pure math topics, such as real analysis and theoretical linear algebra, is emphasized, suggesting that the current coursework may not meet the prerequisites for a pure math MS. Overall, the discussion underscores the importance of aligning educational choices with long-term career objectives in mathematics and physics.
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Hello everyone. I'm majoring in applied math and physics and was considering going for a MS in math and later if I can a PhD in physics. I'm not sure if I should pursue a MS in applied or pure math because I will be getting a BS in applied math. I'm not sure what would be the difference between a MS and a BS in applied math. I know more work is required in the classes but other than that does anyone know the difference? Should I pursue a MS in pure math instead? Classes I've taken for the BS are matrix algebra, Fourier series, differential equations, probability, statistics, complex variables, modern algebra, intro to analysis, vector analysis, and or course Cal I - III. Thank you for your help.
 
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I have applied for my MS in applied mathematics... I've got a heavy background in applied math and not a ton of pure (only the generic core requirements like analysis and such). Whether it's "more" work than your BS, I don't think anyone can really say without the specifics of your program. I would imagine a course-work only MS in applied math is more of what you've done, but up the stepping stones to the next level. A major research paper, or I gather a full blown thesis, would definitely be more rigorous and demanding; at least it appears that way with friends I have doing math PhD stream right now (in pure maths).

If you want to do an MS in pure math, I would firstly make sure that you know what you want to do in the end... getting a MS in pure math definitely has an opportunity cost if you're not planning to do a PhD. Also your courses look pretty light for the material. At my school, the graduate department recommends at least 2 classes (introductory and next level) real analysis, a course in complex analysis, 2 years of theoretical linear algebra, and 2 years of "foundations", or essentially classes that cover the specifics of logic and set theory and all the goodies that come with it. Then of course, fourth year courses in special topics of pure maths.
 
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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