Which classes? Double major in physics and math? (again )

[ephedyn]

Background: I'm a freshman physics major, and I noticed that I have a time conflict between these 2 pairs of introductory classes that I want to take, and they are only offered once in 2 years, so I will like some opinion on which I should take:

1. graph theory OR continuum mechanics
2. statistical mechanics OR numerical analysis of ODEs and PDEs

The graph theory class is using a book by Chartrand; the continuum mechanics class is taught without a reference text; the statistical mechanics class is taught from a book by ; the numerical analysis class is taught using a book by R. L. Burden;

My heart tells me to go for numerical analysis because I haven't had any computing classes yet, and this gives me good reason to touch up on my programming ability while doing coursework; and gives me a more employable skill than statistical mechanics.

The issue is, I've already taken more than enough mathematics classes for my physics degree requirements and even a minor in mathematics. There are more interesting math classes coming up ahead: graduate algebra etc. Call it bad planning but I really enjoy taking these extra math classes; at the same time, I'm told it's no point doing a double major in math since I'm planning to go to grad school for physics.

This is where graph theory comes in. I know that graph theory has many applications, in computer science, electrical engineering, and simply as a research area. But these don't seem relevant to my immediate interests/internships/jobs that I am applying for. However - I will need graph theory to graduate with a math major!

Which brings me to where continuum mechanics bothers me... It's being taught by a great professor, it is a very useful class, and I will be building on my background in mechanics, statics, heat transfer, thermodynamics, fluid mechanics, ODEs, PDEs etc. instead of having a standalone in graph theory. But it's another useful class which will not contribute to my graduation requirements!

To put it short:

- If I were to assume I'm going double in math and prioritize graduation requirements, I'd take graph theory + numerical analysis.
- If I stick to a pure physics major, and prioritize graduation requirements, I'd take ? and statistical mechanics.
- If I were to go for the more useful classes for employability first, I *think* continuum mechanics AND numerical analysis is the way to go.

Which combination would you choose?

 

[rhombusjr]

I would probably take Statistical Mechanics. Concepts from Stat Mech show up almost everywhere in physics, such as entropy.

 

[ephedyn]

:/ It's a tough choice. Any other thoughts on this?

 

[micromass]

If I were you I would take continuum mechanics. It's far more useful to a physicist, then graph theory could ever be. Of course, I'm a bit biased, I already took graph theory and I didn't like it, so I would prefer anything above it

As for the second choice, I really don't know. Both classes are quite interesting and could be very useful to you. It's a tough choice...

 

[rezeew]

I would advise you to consider the long-term benefits and your personal interests when making this decision. While it may be tempting to prioritize graduation requirements and immediate employability, it is important to keep in mind that your education is a foundation for your future career and should not be solely based on short-term goals.

Firstly, consider your long-term goals and interests. Are you more interested in pursuing a career in physics or mathematics? If you are planning to go to graduate school for physics, it may be more beneficial to focus on classes that will directly contribute to your understanding and skills in that field. However, if you are equally interested in both subjects, a double major in physics and math can provide a well-rounded education and open up more opportunities for you in the future.

Additionally, consider the value of each class in terms of its applicability to your future career. While graph theory may not seem immediately relevant to your current interests, it has many applications in various fields and can be a valuable skill to have. Similarly, continuum mechanics may not contribute to your graduation requirements, but it can provide a strong foundation for future studies in mechanics and engineering.

Ultimately, it is important to find a balance between your interests and future goals. If you are passionate about a certain subject, it may be worth taking the extra class even if it does not directly contribute to your graduation requirements. At the same time, make sure to prioritize classes that will help you achieve your long-term goals and provide you with valuable skills for your future career.