One Physics MS semester left - what courses to take?

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The discussion centers on the importance of a strong mathematical foundation for a physics MS student transitioning into oceanography. The individual seeks advice on whether to take a formal proofs course, which is a prerequisite for advanced mathematics courses like partial differential equations (PDEs) and advanced linear algebra. They express concern about the intimidating mathematical complexity in physical oceanography literature and reflect on their previous experience with proofs in physics classes. The conversation highlights the relevance of proofs in developing a deeper understanding of theoretical concepts and whether this formal training would significantly benefit their career in a theoretical physical science. Additionally, suggestions are made to explore available math courses, including those offered by engineering schools, to enhance their mathematical skills.
blaughli
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Hello all,

I've got one more semester before I earn my physics MS, and I have space for one or two extra courses. I am going into oceanography, and I would like to have a strong foundation in math in order to understand the theory I'll encounter as well as possible. Lots of physical oceanography papers that I glance at are very intimidating, for they seem to pull from some pretty high mathematics in addition to advanced fluid dynamics.

I never took a proofs course. I wish I had, since it's a "requirement" for taking upper div courses like PDE's and advanced linear algebra. So I'm wondering if I should rely on my experience proving things in physics classes to get me through those courses, or if it makes sense to take the slow road and do Proofs officially.

I guess I would also like to ask if these are the right courses to be thinking about, and if there are others that I should consider. I am planning on taking 2nd semester Jackson E&M to get a better grounding in radiation theory and the math that goes along with that.

Thanks!
 
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You should look at the engineering school and see if they have math classes, and you should look carefully at the offerings of the math department. MIT, for example, has the series 18.075/18.076 (formerly taught by the late Francis Hildebrand) which is most certainly not proof based.
 
Thanks Vanadium, it's a good idea for me to look at what's available online. 18.075 is Calculus for engineers. To be clear, I've taken all the math required for a BS in physics, and a couple "theoretical physics" courses (undergrad and grad level) where the essentials of the necessary math is covered.

What I really want to know is whether a formal proofs course will help a great deal if I'm on the more theoretical side of a physical science. I'll be dealing with lots of math; do people think that proofs has been a great boon to their career?
 
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