What classes to take applied math?

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Discussion Overview

The discussion revolves around course selection for an applied mathematics graduate program, particularly focusing on which electives to prioritize based on prior coursework and future academic goals. Participants explore the relevance of various classes to applied mathematics and their potential applications in fields like physics and engineering.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant has completed several upper-division math courses and is considering which electives to take next, expressing a preference for applied mathematics over theoretical physics.
  • Another participant suggests that Real Analysis B, Fourier Analysis, Optimization, and Numerical Analysis are strong choices for electives, emphasizing their applied nature.
  • A question is raised about the importance of taking classes in sequence for graduate school applications, specifically regarding Numerical Analysis A and B.
  • Concerns are mentioned about the relevance of Topology and Abstract Algebra to the math GRE, which may be a requirement for applied math graduate programs.
  • One participant recommends taking Analysis B, Fourier Analysis, Topology, and either Optimization or Numerical Analysis based on the importance of these subjects in PDE theory.

Areas of Agreement / Disagreement

Participants express differing opinions on the order and importance of specific courses, indicating that there is no consensus on the best approach to course selection for applied mathematics graduate school.

Contextual Notes

Some participants note the potential impact of course sequencing on graduate school applications, but the discussion does not resolve the implications of this issue. Additionally, the relevance of certain courses to the math GRE remains uncertain.

Who May Find This Useful

Students considering graduate studies in applied mathematics, particularly those with backgrounds in physics or engineering, may find this discussion relevant.

mobiusdafrost
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so here's the thing, i basically have a physics minor and decided to go to applied math grad school since i think it'll open up more options and involves more math and won't involve experiments than engineering. i don't want to do theoretical physics since I'm concerned about job opportunities

so far I've completed, these are all upperdiv:
Real Analysis A
Linear Algebra A
Differential Equations
PDEs
Complex Analysis
Probability Theory A

I need to take:
Math Modeling
Linear and Nonlinear Systems of DEs
Probability Theory B
4 more electives

For the electives, I've considered: Numerical Analysis, Combinatorics, Optimization, Abstract Algebra (I dropped the honors version), Topology, Fourier Analysis, Real Analysis B

which of the classes i need to take should i take asap?

I plan on going into applied linear algebra, DEs, PDEs, fluid mechanics or numerical analysis for applied math grad school, hopefully doing something with applications to physics
 
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Real analysis B, Fourier analysis, optimization and numerical analysis are probably the best applied math courses from the electives you listed. Actually optimization and numerical analysis will probably be the most applied, but I expect real analysis and Fourier analysis will be the most meaningful.

Actually my plans are kind of similar to your's. I started out in aerospace engineering, but I will be finishing my degree in math, and I am applying to applied math grad schools this Fall..
 
Also does it matter a lot if you don't take classes in sequence to grad schools? say, taking numerical analysis A in fall 07 and then numerical analyis B in fall 08 instead of spring 07, the semester immediately after taking part A?

also, isn't topology and abstract algebra on the math GRE? isn't the math GRE requried for applied math grad schools? I'm a 4th yr and plan to apply to grad schools next fall
 
Most PDE theory involves functional analysis. I would suggest Analysis B, Fourier Analysis, Topology, and either Optimization or numerical analysis.
 
alright thanks for the replies

in what order should i take the classes i still need for the degree?
 

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