What Advanced Math Course Should You Take After Linear Algebra?

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SUMMARY

After completing Linear Algebra, students should consider enrolling in an "Intro to Proofs" course to strengthen their mathematical reasoning skills. Following this, Abstract Algebra and Real Analysis are highly recommended as they build upon the concepts learned in Linear Algebra and form the foundation for upper division mathematics. These courses emphasize proof techniques and abstract thinking, essential for advanced mathematical studies.

PREREQUISITES
  • Linear Algebra
  • Calculus I, II, III
  • Differential Equations
  • Introductory Proof Techniques
NEXT STEPS
  • Research Abstract Algebra concepts and its applications
  • Study Real Analysis fundamentals and key theorems
  • Explore advanced proof techniques in mathematics
  • Investigate the relationship between Linear Algebra and Abstract Algebra
USEFUL FOR

Mathematics students, particularly those pursuing a degree in mathematics or related fields, who are looking to deepen their understanding of advanced mathematical concepts and proof techniques.

DerivativeofJ
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Hey guys/gals i have been enjoying my time taking Linear Algebra. I have always been the kind of person who would take math classes because that is what i was best in. But thanks to this course i have begun to truly like math. I have taken calc 1,2,3 and Differential Equations. What math class should i take next?
 
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If you haven't already, you should take your college's "intro to proofs" type class. If linear algebra was pretty proof-ey (or you already took a proofs class), then you could take abstract algebra (which is like linear algebra in many ways - including its elegance). You can also take real analysis. Those two tend to make up the foundation for upper division mathematics.
 

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