Are Linear Algebra and Discrete Math Essential for Aspiring Physicists?

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Discussion Overview

The discussion centers around the importance of Linear Algebra and Discrete Mathematics for students aspiring to major in physics. Participants explore whether these courses are essential for success in upper-level physics courses and graduate studies, as well as their relevance to the field of physics compared to other mathematical subjects.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant questions the necessity of Linear Algebra and Discrete Math for physics majors, expressing a preference for application-based courses over proof-heavy content.
  • Another participant asserts that Linear Algebra is essential for any field of science, including physics, suggesting that it is often a required course.
  • Some participants argue that Linear Algebra is significantly more important than Discrete Math for physics, citing limited applications of Discrete Math in physics derivations.
  • There is a claim that Discrete Math is more relevant for computer science than for physics, indicating a perceived disconnect between the two fields.
  • A participant notes that Discrete Math is a prerequisite for Linear Algebra, questioning the rationale behind this requirement given their views on the relevance of the courses.
  • Another participant shares their experience, indicating that they only needed basic calculus for Linear Algebra, suggesting variability in course requirements.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and relevance of Discrete Math versus Linear Algebra for physics majors. While some advocate for the importance of Linear Algebra, opinions on Discrete Math vary, with some viewing it as less essential. The discussion remains unresolved regarding the overall necessity of these courses for aspiring physicists.

Contextual Notes

Participants reference their personal experiences and institutional requirements, indicating that course prerequisites may vary by university. There is also mention of differing educational backgrounds influencing perspectives on the relevance of these mathematical courses.

Who May Find This Useful

This discussion may be useful for students considering a physics major, educators advising students on course selections, and individuals interested in the mathematical foundations relevant to physics and related fields.

kuahji
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From experienece, are these two courses really important to someone looking to major in physics? I've read the "So you want to be a physicist" guide, but if I work with the book Mathematical Methods in the Physical Sciences, will it be enough to make it through the upper level physics courses (as opposed to general physics)? I'm currently taking discrete math but I find the proofs extremely boring. Though I seem to do great with the applications in calc & calc based stats that I've taken. So I'm just curious as to if I should bother taking Linear Algebra if its just going to end up being more proofs. Also besides differential equations, are there any other math courses I should be looking to take that would be helpful down the line? I would eventually like to go to grad school as well, if that factors in at all.
 
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You definitely need to take Linear Algebra, and I'd be very surprised if your physics department left it as an option. (unless they combined linear alg. and diff. eq. into one class which a lot of big universities do)
 
Yeah, linear algebra is just so important for any field of science, whether it's engineering, physics or biology.
 
Linear algebra is a lot more important than discrete math. The only things from discrete math that I've ever needed in a physics derivation are basic logic and proof by induction.
 
discrete math is a class for computer scientists not physicists
 
Thanks for the replies. Looks like I'm taking Linear Algebra then ^_^.

The thing is with discrete, it is a prereq for linear. I'm guessing because of having to write proofs. Otherwise it seems to be a total waste of time... mathematical induction was done back in pre-calc at my school.
 
Discrete a pre req for Linear? Is this the first linear course, or some higher course? I only needed some calculus (which I didn't even use) for LA.
 

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