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

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Discussion Overview

The discussion revolves around the dilemma of selecting courses for a double major in physics and mathematics, specifically focusing on the choice between graph theory and continuum mechanics, as well as statistical mechanics and numerical analysis of ODEs and PDEs. The context includes considerations of employability, graduation requirements, and personal interests in the subjects.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant expresses a preference for numerical analysis due to its relevance to programming skills and employability, despite having already fulfilled math requirements.
  • Another participant suggests taking statistical mechanics, citing its broad applicability in physics, particularly concepts like entropy.
  • A different participant advocates for continuum mechanics, arguing its usefulness for physicists over graph theory, while admitting a personal bias against graph theory based on their own experience.
  • There is acknowledgment of the difficulty in making a choice, with participants expressing uncertainty about the best path forward.

Areas of Agreement / Disagreement

Participants do not reach a consensus on which courses to choose, with multiple competing views presented regarding the value of each class and its relevance to the participants' goals.

Contextual Notes

Participants mention various factors influencing their decisions, such as personal interests, future employability, and graduation requirements, but do not resolve the implications of these factors on their choices.

ephedyn
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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?
 
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I would probably take Statistical Mechanics. Concepts from Stat Mech show up almost everywhere in physics, such as entropy.
 
:/ It's a tough choice. Any other thoughts on this?
 
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 :biggrin:

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...
 

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