Which Linear Algebra Course Should I Choose for Grad School Prep?

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SUMMARY

The discussion centers on the choice between Linear Algebra and Applied Linear Algebra for graduate school preparation. Participants emphasize that for a Mathematics BS aiming for graduate studies in math, the traditional Linear Algebra course is preferable due to its focus on theoretical understanding. In contrast, Applied Linear Algebra, while beneficial for practical applications and taught by a favored professor, may not provide the depth required for advanced mathematical studies. The consensus suggests that Linear Algebra is essential as a prerequisite for graduate-level mathematics.

PREREQUISITES
  • Understanding of linear equations and matrices
  • Familiarity with eigenvectors and eigenvalues
  • Knowledge of vector spaces and linear transformations
  • Basic proficiency in MATLAB for applied problem-solving
NEXT STEPS
  • Research the curriculum differences between Linear Algebra and Applied Linear Algebra at your institution
  • Explore the role of Linear Algebra in graduate-level mathematics courses
  • Learn about the applications of eigenvalues and eigenvectors in various fields
  • Investigate MATLAB techniques for solving linear systems and matrix operations
USEFUL FOR

Mathematics undergraduates, prospective graduate students in math or physics, and anyone evaluating the impact of course selection on advanced studies.

mharten1
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I have to register for Fall classes in the next few days, and my advisor is not responding to emails, so I figured I would ask this question here.

I am pursuing a Mathematics BS, and have the choice to take either Linear Algebra or Applied Linear Algebra. I initially was going to take Linear Algebra, but I found out that my favorite professor, and one that I've become quite close with, is teaching Applied Linear Algebra, so I want to take that instead.

These are the course descriptions:

LA: Linear equations, matrices, determinants, vector spaces, bases, linear transformations and similarity, inner product spaces, eigenvectors, orthonormal bases, diagonalization, and principal axes.

APPLIED LA: Solving linear systems, matrices, determinants, vector spaces, bases, linear transformations, eigenvectors, norms, inner products, decompositions, applications. Problem solving using MATLAB.

If my end goal is to go to grad school, would taking applied put me at any disadvantage? This might seem like an extremely silly question, but I honestly have no idea, and better safe than sorry. :P
 
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Grad school in math or physics or...?

If physics, definitely take applied if you like the professor so much.
 
Jorriss said:
Grad school in math or physics or...?

If physics, definitely take applied if you like the professor so much.

In math, sorry for not specifying.
 
If you want to study math, take the linear algebra.
 
Definitely take the linear algebra class.
 
If you take the applied linear algebra class you're going to spend the whole time calculating things without understanding why you care about them. Furthermore, linear algebra is absolutely a prerequisite to do graduate level math in any field
 
Every university functions differently, so it's hard to give you an answer. At my undergrad university, the math linear algebra was much easier than the applied math linear algebra. In applied math, we did the same proofs, the same general material, mostly the same, except we actually had to say what eigenvalues and eigenvectors could be used for -- how to apply the proofs and theory. All the pure math guys had to do was prove some eigenvalue stuff and then find them. However, I will suffice by saying that the applied math LA was an upper division course and the pure math LA was lower division.

Again, it will vary by university and department, but this thread was heavily biased towards pure math so I couldn't resist throwing in my opinion.
 

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