Hate Linear Algebra? Advice for Applied Math?

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Discussion Overview

The discussion revolves around participants' experiences and feelings towards linear algebra, particularly in the context of an Applied Math program. It touches on the challenges faced in learning linear algebra, the teaching methods of professors, and the perceived relevance of linear algebra to applied mathematics versus pure mathematics.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • Some participants express frustration with linear algebra, citing the need to memorize numerous identities and the difficulty of proofs as major challenges.
  • Others argue that the issue lies more with the teaching style of the professor rather than the subject itself, suggesting that linear algebra is a beautiful and useful field.
  • Several participants share contrasting experiences, with some loving linear algebra while others preferred calculus or found linear algebra to be an obstacle to more interesting topics.
  • There are suggestions that understanding concepts rather than memorizing identities could improve the learning experience.
  • Some participants highlight the importance of linear algebra in various advanced mathematical topics and applications, emphasizing its role as a prerequisite for further studies.
  • Concerns are raised about the abstract nature of the course and the lack of real-world applications in the teaching approach.
  • A few participants mention the impact of the textbook used in the course on their perception of the subject.

Areas of Agreement / Disagreement

Participants generally do not reach a consensus, with multiple competing views on the value and challenges of linear algebra, as well as differing opinions on teaching methods and the relevance of the subject to applied mathematics.

Contextual Notes

Some participants note that their experiences with linear algebra are heavily influenced by the teaching style and the specific curriculum of their courses, which may not align with their interests in applied mathematics.

  • #31
thehollow89 said:
Elementary Linear Algebra: Applications Version, 9th ed., by H. Anton and C. Rorres

Odd, that's an easy book that doesn't delve into true theory much, if at all.
 
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  • #33
Linear Algebra is most often the first abstract class an undergrad takes, I think that tends to be why most people have a difficult time with it. If you plan on doing more math than just first and second year calculus than understanding linear algebra and developing your abstract mathematical skills is essential.
 
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  • #34
thehollow89 said:
The prof is a nazi. He'll give us practice tests that make us underestimate the test and guide us in the wrong direction. He's even said he's going to kill us with the final. The kind of proofs he asks on the tests make me feel like I need to know every property and identity. It's annoying.

He doesn't put on putnam problems does he?
 
  • #35
AlandoAlf said:
Hello,

Why you hate linear algebra ? i love linear algebra its my favorite subject.

I agree. I took every linear algebra course our school had, voluntarily. If I could have majored in just linear algebra, I would have. :-p
 
  • #36
Chris11 said:
He doesn't put on putnam problems does he?

nah...I wouldn't think he's THAT evil. Probably IMO problems.
 
  • #37
LA is as important as Caculus, and may be even more useful when you learning QM. It's usual to calculate eigenvalues and diagonalise matrixes when resolving QM problems. However, not everything learned in LA courses is very needed, though it won't be bad to be familiar with all of them. Fairly speaking LA is difficult so you should find some collections of problems to complete. Practice makes perfect.
 

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