Courses What Advanced Math Course Should You Take After Linear Algebra?

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The discussion centers on a student who has developed a newfound appreciation for mathematics through a Linear Algebra course, having previously completed Calculus 1, 2, 3, and Differential Equations. Participants suggest that the student consider taking an "intro to proofs" class next, as it is foundational for understanding higher-level mathematics. If the student has already taken a proofs class or found Linear Algebra to be proof-intensive, they are encouraged to explore Abstract Algebra or Real Analysis, both of which are essential for upper division mathematics and share similarities with Linear Algebra in terms of elegance and structure.
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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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