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

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SUMMARY

To become a mathematician, students must choose between two branches: pure and applied mathematics. Key courses for pure mathematics include advanced calculus (analysis), abstract algebra, proof-based linear algebra, and electives in differential geometry and topology. For applied mathematics, essential classes consist of analysis, differential equations (including partial), linear algebra, and numerical analysis. Students should consult university degree programs for specific class requirements, as applied math programs typically do not emphasize differential geometry or topology.

PREREQUISITES
  • Understanding of calculus concepts
  • Familiarity with linear algebra
  • Basic knowledge of differential equations
  • Exposure to abstract algebra
NEXT STEPS
  • Research university degree programs in mathematics for specific course requirements
  • Explore advanced calculus and real analysis textbooks
  • Study proof techniques in linear algebra
  • Investigate numerical analysis methods and their applications
USEFUL FOR

Students considering a career in mathematics, academic advisors, and anyone interested in the curriculum for pure and applied mathematics programs.

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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