Physics curriculum w/out linear algebra?

Click For Summary

Discussion Overview

The discussion revolves around the necessity of taking a formal linear algebra course for physics majors, particularly in the context of varying curriculum requirements across different institutions. Participants explore the implications of this decision on theoretical and experimental physics understanding.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants suggest that a formal linear algebra class may not be necessary if the physics department offers a math methods course that covers relevant topics.
  • One participant emphasizes that for those interested in quantum mechanics (QM) and research, a rigorous linear algebra course is essential for deeper understanding.
  • Another participant notes that while a formal course is not required, professors encourage it as an elective, indicating its perceived value in the curriculum.
  • There is a distinction made between the needs of theorists and experimentalists, with some arguing that theorists would benefit more from a formal linear algebra course, while experimentalists might find the math methods course sufficient.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of a formal linear algebra course, with some advocating for its importance in theoretical contexts, while others believe the math methods course may suffice for practical applications. No consensus is reached on whether one approach is definitively better than the other.

Contextual Notes

The discussion highlights the variability in physics curricula and the potential impact of individual academic and career goals on the perceived necessity of linear algebra. The effectiveness of the math methods course in covering essential topics remains a point of contention.

jbrussell93
Messages
409
Reaction score
37
My school does not require physics majors to take linear algebra. I've noticed that some schools have a course called "differential equations and linear algebra" that is taken after the calc sequence but we only have to take ODE. There is a matrix theory class that math majors take that I've been considering but is it really necessary? There is also a math methods course offered through the physics department but I think it mainly covers complex analysis. Am I cutting myself short by not taking a formal linear algebra class?
 
Physics news on Phys.org
You probably don't need to take a proper linear algebra class from the Math department because I suspect taking the math methods course within your own department will be sufficient. I would personally grab the linear algebra text to study on the side, however. It probably depends greatly on exactly what gets taught in the physics course.
 
jbrussell93 said:
My school does not require physics majors to take linear algebra. I've noticed that some schools have a course called "differential equations and linear algebra" that is taken after the calc sequence but we only have to take ODE. There is a matrix theory class that math majors take that I've been considering but is it really necessary? There is also a math methods course offered through the physics department but I think it mainly covers complex analysis. Am I cutting myself short by not taking a formal linear algebra class?

A lot depends on what you want to do. If you're interested in QM and if you want to do research in it, then I think that a linear algebra course is really a must. Things really make more sense if you have gone through a rigorous LA course.

If your interests are not very theoretical, then you can probably do without a formal LA course.
 
jbrussell93 said:
My school does not require physics majors to take linear algebra. I've noticed that some schools have a course called "differential equations and linear algebra" that is taken after the calc sequence but we only have to take ODE. There is a matrix theory class that math majors take that I've been considering but is it really necessary? There is also a math methods course offered through the physics department but I think it mainly covers complex analysis. Am I cutting myself short by not taking a formal linear algebra class?

My school doesn't require a formal linear algebra course from the math department for physics and engineering majors but every professor strongly encourages taking it as an elective. The math methods course teaches you matrix methods, calculations, eigenvalue problems, etc; if you want to be a theorist I would take it in the math department; an experimentalist maybe the methods course is all you need. I think you'd be cutting yourself short but I'm an experimentalist who likes his mathematical rigor.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
5
Views
2K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
41
Views
9K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 32 ·
2
Replies
32
Views
4K
Replies
1
Views
1K
  • · Replies 16 ·
Replies
16
Views
3K