Physics curriculum w/out linear algebra?

In summary, it is not necessary to take a formal linear algebra class as a physics major, but it may be beneficial depending on your interests and career goals. It is also recommended to self-study linear algebra as it can greatly enhance understanding of quantum mechanics and other theoretical topics. Ultimately, the decision should be based on individual interests and goals within the field of physics.
  • #1
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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  • #2
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.
 
  • #3
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.
 
  • #4
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.
 
  • #5


I believe that a strong foundation in mathematics is crucial for success in the field of physics. While it may not be a requirement for your physics curriculum, I would highly recommend taking a linear algebra course. Linear algebra is a fundamental tool in many areas of physics, including quantum mechanics and electromagnetism.

Linear algebra allows us to understand and manipulate systems of equations and vectors, which are essential concepts in physics. It also provides a framework for understanding transformations and symmetry, which are important in many physical theories.

Furthermore, many advanced physics courses and research projects may require knowledge of linear algebra. By taking a formal linear algebra course, you will be better prepared for these future endeavors.

I understand that you may already have a busy schedule and may be hesitant to add another course to your workload. However, the benefits of taking a linear algebra course far outweigh the potential challenges. Additionally, you may find that the concepts and skills you learn in this course will greatly benefit your understanding of other physics courses.

Ultimately, the decision is yours to make. But as a scientist, I would encourage you to seriously consider taking a formal linear algebra course in order to enhance your understanding and skills in the field of physics.
 

1. What is the difference between a physics curriculum with and without linear algebra?

A physics curriculum with linear algebra includes a more in-depth study of mathematical concepts such as vector spaces, matrices, and linear transformations. It also incorporates the use of linear algebra in solving problems and understanding physical phenomena. On the other hand, a physics curriculum without linear algebra focuses more on conceptual understanding and uses simpler mathematical tools like calculus.

2. Is linear algebra necessary for understanding physics?

While linear algebra is not a fundamental requirement for studying physics, it is highly beneficial in understanding and solving complex problems. Many physical concepts can be better represented and analyzed using linear algebra, making it an essential tool for advanced physics studies.

3. Can I learn linear algebra alongside physics?

Yes, it is possible to learn linear algebra simultaneously while studying physics. However, it is recommended to have a basic understanding of linear algebra before diving into advanced physics topics that heavily rely on this mathematical concept.

4. Are there any disadvantages to not studying linear algebra in a physics curriculum?

One potential disadvantage of not including linear algebra in a physics curriculum is limited problem-solving abilities. Linear algebra provides a powerful tool for solving complex systems of equations, and not having this knowledge may hinder a student's ability to tackle more challenging physics problems.

5. Can I still pursue a career in physics if I don't learn linear algebra?

Yes, you can still pursue a career in physics even if you don't learn linear algebra. However, it may limit your opportunities in certain fields that heavily rely on this mathematical concept, such as quantum mechanics and electromagnetism. It is always beneficial to have a strong foundation in linear algebra for a career in physics.

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