Physics curriculum w/out linear algebra?

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SUMMARY

This discussion centers on the necessity of taking a formal linear algebra course for physics majors. While some institutions require a course in "differential equations and linear algebra," others, like the participant's school, do not mandate linear algebra. The consensus suggests that for those interested in quantum mechanics (QM) or theoretical physics, a rigorous linear algebra course is essential. Conversely, students focused on experimental physics may find the math methods course sufficient, which covers matrix methods and eigenvalue problems.

PREREQUISITES
  • Understanding of ordinary differential equations (ODE)
  • Familiarity with quantum mechanics (QM) concepts
  • Knowledge of matrix methods and calculations
  • Basic calculus sequence completion
NEXT STEPS
  • Research the curriculum of linear algebra courses at local universities
  • Explore the content of math methods courses offered in physics departments
  • Study matrix theory and its applications in physics
  • Investigate the role of linear algebra in quantum mechanics
USEFUL FOR

Physics majors, especially those considering theoretical research, as well as students in engineering disciplines who wish to enhance their mathematical foundation.

jbrussell93
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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?
 
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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.
 

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