How Many Physics Majors Take Formal Courses in Linear Algebra?

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Discussion Overview

The discussion revolves around the prevalence and necessity of formal courses in linear algebra among physics majors. Participants share their experiences and opinions regarding the role of linear algebra in physics education, its application in various physics courses, and the requirements at different universities.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses that linear algebra is highly applicable and essential for understanding differential equations and quantum mechanics.
  • Another notes that their undergraduate institution recommended linear algebra and made it a prerequisite for higher-level math courses, offering both rigorous and concept-focused versions.
  • A participant asserts that linear algebra, along with partial differential equations and differential equations, is crucial for a physicist's mathematical education.
  • Some participants mention that linear algebra is not a requirement at their institutions, with varying opinions on whether it should be mandatory.
  • One participant shares that they are taking linear algebra as part of a combined math and physics major, indicating its importance in their curriculum.
  • Another participant states that linear algebra was compulsory in their first year, emphasizing its relevance to quantum mechanics.
  • Several participants discuss the differences in course structure, with some institutions offering proof-oriented courses while others focus on computational aspects.
  • One participant mentions that many physics students take linear algebra as part of a math minor, which highlights its perceived importance among students.

Areas of Agreement / Disagreement

Participants express a range of views on the necessity of linear algebra for physics majors, with some advocating for its requirement while others note that it is not mandated at their schools. There is no consensus on whether it should be a formal requirement across all physics programs.

Contextual Notes

Some participants note that the relevance of linear algebra may depend on the depth of quantum mechanics courses offered, suggesting that a superficial treatment may lessen the need for prior knowledge in linear algebra.

CPL.Luke
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how many physics majors take formal courses in linear algebra?

I got it done this semester and found it to be one of the most applicable mathematical subjects out there, just thinking about doing differential equations without linear algebra gives me the willies, and looking at the physics curricula at a number of schools I see that its not required, so I have to wonder how many people take it?
 
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Linear algebra is highly recommended at the school I did undergrad at. Not only is it extremely helpful, like you said, but it was also a pre-req for some of the higher level courses in the math department. They had two courses actually. One was rigorous with proofs and mainly for the main majors. Another was mainly learning the concepts and for everyone else.
 
Linear algebra along with PDE's and DE's is an essential part of a physicists math education, you will not get too fat in QM without it.
 
Dr Transport said:
...you will not get too fat in QM without it.

Geez, I knew QM required lots of study time but I thought I might at least have SOME time for exercise next semester; I'm fat enough as it is. :-p
 
unit_circle said:
Geez, I knew QM required lots of study time but I thought I might at least have SOME time for exercise next semester; I'm fat enough as it is. :-p

A professor of mine called this sitzfleisch, which I always assumed meant the fat ass you get from doing lots of deskwork.
 
CPL.Luke said:
how many physics mamors take formal courses in linear algebra?
Every physicist has taken them. I had such courses in high school (eg linear vector theory, eigenvectors), first (Jordan normal forms, vector spaces etc etc) and second year of college. Thery are an essential part of the theoretical framework behind physics


marlon
 
it's actually not a requirement at UF, even though i think it should be. i also think that the proof-oriented course (as opposed to a mere computational one) should be taken by the serious physics student. you'll see a lot of the proofs again, especially with inner product spaces, etc.
 
Linear Algebra is not a requirement in the physics dept at my school, Loyola Chicago, however I am doing their combined math and physics major and it is a requirement for that, I am in it this coming semester, I am hoping it is better than my calc 3 class
 
For me it was compulsory in the first year of university studies. In the second semester, just as mathematical analysis was in the first semester. Its relevance for a physics student is mainly due to the QM course. If that course is taught in a superficial manner, then it's probably not required of the student to take the linear algebra b4, since in the introductory lectures (of the QM course) some elementary linear algebra absolutely necessary for QM can be dealt with.

Daniel.
 
  • #10
At UW it's required first year for all physics students. The math phys kids take another course second year as well.
 
  • #11
Linear Algebra was not a requirement for me, but was highly recommended.
 
  • #12
At my school, physics students have to take two linear algebra courses in the first and second years. The first one covered up to eigenvalues and eigenvectors, and involved very little proofs since it's primarily taught for engineers. From what I've seen from my former physics classmates, apparently the second one is much more challenging and proof-based.
 
  • #13
Yea Linear Algebra isn't required at my school either, they just take up to ODE and then a course on Mathematical Physics. a lot of them are doing math minors (like me but I'm an EE) and Linear Algebra is a required course for a math minor.

In fact the whole reason I'm doing a math minor is because I wanted to take linear algebra and after that I just needed 2 more classes.
 

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