Schools Recommended College Math Courses

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For math majors looking to expand their education beyond core requirements, several advanced courses are highly recommended. Key subjects include algebraic topology, differential geometry, and complex analysis, which are essential for a deeper understanding of mathematical concepts. Courses in numerical analysis, graph theory, combinatorics, and theoretical computer science, particularly algorithms, are also valuable. Additionally, studying differential equations, stochastic variables, and functional analysis can enhance practical skills. The choice of courses may depend on individual specialization and research interests, emphasizing the importance of aligning coursework with future goals in mathematics.
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which courses would you recommend a math major to take beyond the major requirements? I feel like 2 semesters in algebra, analysis, and topology are the basic necessities. Should I look at anything else? Any suggestions in applied maths?
 
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Differential Geometry was a fun extracurricular course, also Cryptography.
 
elliptic integrals-learn about those
extremely useful
 
Numerical analysis? Graph theory and combinatorics? Theoretical CS? Algorithms? Classical / Quantum / Relativistic / Statistical / Fluid / Solid mechanics? Economics?
 
The essential thing missing from your list is a year of algebraic topology / differential geometry.
 
I would take courses on stochastic variables and calclulus.
 
You will probably need complex analysis. Functional analysis and differentiable manifolds are also very useful.
 
elfboy said:
elliptic integrals-learn about those
extremely useful

How are these useful?
 
are differential equations included in the basic courses?
 
  • #10
There tons of useful math, it depends on what are you specializing... and sometimes it depends on your research...
 
  • #11
Combinatorics and probability were fun.
 
  • #12
Once someone gets algebra and analysis (the real stuff, not an introductory course) down, I suppose next are some topology (algebraic too!) ODE, and differential geometry. But if someone comes this far, the person surely knows what to do?
 

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