Schools What classes do you take in college to become a mathematician?

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To become a mathematician, one typically needs to choose between two branches: applied mathematics and pure mathematics. Essential courses for both paths include calculus, real analysis, linear algebra, and differential equations. Pure mathematics often requires advanced topics such as abstract algebra, proof-based linear algebra, and electives in differential geometry and topology. In contrast, applied mathematics focuses on analysis, numerical analysis, and practical applications of mathematics. It's important to consult university degree programs for specific course requirements, as applied math programs may not include advanced topics like differential geometry or topology. The transition to upper-division pure math courses can be significantly different from earlier studies, often emphasizing theoretical concepts over practical applications.
Nerdydude101
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I am just curious about what classes need to be taken to become a mathematician. Thanks!
 
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There are 2 branches applied or pure.

Typically the calculus serious, real analysis, differential geomeotry/topology, linear algebra, diff. Equations. Then you have to figure out what branch of mathematics you want to atudy.


Going to a university webpage and looking under degree programs shoild give you a list of classes.
 
Applied math programs rarely make you so Diff geo, topology. From what I have seen

Pure:
Analysis ( advanced calculus )
Abstract algebra
Proof based Linear Algebra
Electives in Diff Geo, topology, ect.

Applied:
Analysis
Differential equations + Partial
Linear Algebra
Numerical analysis ( computer math programming)
Elective math course.

These are the norms at most university's. I am not sure what math class you have taken thus far, but upper division pure math will be far from anything you have done before. I am only in calculus 1 but have self studied a lot of pure math with a professor and it is SO much different and much more interesting to me since I hate application problems.
 

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