One Physics MS semester left - what courses to take?

Click For Summary
SUMMARY

The discussion centers on a physics MS student seeking advice on course selection for their final semester, specifically regarding the necessity of a formal proofs course. The student aims to strengthen their mathematical foundation for future studies in oceanography, particularly in advanced topics like partial differential equations (PDEs) and linear algebra. Recommendations include considering courses like 2nd semester Jackson E&M for radiation theory and exploring offerings from both the engineering and math departments, such as MIT's 18.075 Calculus for Engineers. The student is particularly interested in understanding the impact of a proofs course on their theoretical physics career.

PREREQUISITES
  • Understanding of advanced mathematics concepts, including PDEs and linear algebra.
  • Familiarity with theoretical physics principles and their mathematical applications.
  • Basic knowledge of physical oceanography and its mathematical requirements.
  • Experience with undergraduate physics coursework, including E&M and theoretical physics courses.
NEXT STEPS
  • Research the benefits of taking a formal proofs course in relation to theoretical physics.
  • Explore advanced courses in mathematics, such as MIT's 18.075 Calculus for Engineers.
  • Investigate additional offerings in the math department that align with oceanography and physics.
  • Consider enrolling in advanced fluid dynamics courses to complement oceanography studies.
USEFUL FOR

This discussion is beneficial for physics graduate students, particularly those transitioning into oceanography or theoretical physics, as well as academic advisors guiding course selection in advanced mathematics and physics.

blaughli
Messages
89
Reaction score
1
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!
 
Physics news on Phys.org
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?
 

Similar threads

Replies
41
Views
7K
  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 43 ·
2
Replies
43
Views
6K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 9 ·
Replies
9
Views
2K