Recommended College Math Courses

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vivalavida
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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?
 
Combinatorics and probability were fun.
 
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?