Useful mathematics courses for a career?

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Discussion Overview

The discussion revolves around the selection of mathematics courses that may be beneficial for a career in STEM fields, particularly for someone nearing the completion of an applied mathematics degree. Participants share their thoughts on specific courses and their relevance to professional applications.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests considering courses such as Advanced Calculus 1/2, Complex Variables, Vector Calculus, Numerical Analysis, Game Theory, Optimization, Calculus of Variations, PDE 2, and Applied Linear Algebra 2 for a career in STEM.
  • Another participant emphasizes the importance of Numerical Analysis in their career, indicating it has been the most significant course for their professional work.
  • A follow-up question seeks clarification on how previous courses contributed to the participant's experience in Numerical Analysis.
  • A participant reflects on their Numerical Analysis course, noting it built upon foundational topics like calculus, linear algebra, differential equations, and programming, and highlighted the practical application of numerical methods through programming.

Areas of Agreement / Disagreement

Participants express varying opinions on which mathematics courses are most useful for a STEM career, indicating that multiple competing views remain on the best course selections.

Contextual Notes

Some participants reference their personal experiences and the applicability of certain courses without establishing a consensus on the optimal curriculum for all STEM careers.

Who May Find This Useful

Students nearing graduation in mathematics or related fields, educators advising on course selection, and professionals considering further education in mathematics for STEM applications.

Vitani11
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I have one year left until I get my mathematics degree (applied). I am probably going to go to graduate school, but if I didn't what courses would you recommend I take? Maybe in general but more specifically for a job in a STEM field. I'm currently thinking of complex variables and vector calculus but I need three total.

Advanced Calculus 1/2
Complex Variables
Vector Calculus
Numerical Analysis 2 (1 is taken as a requirement)
Game Theory
Optimization
Calculus of variations
PDE 2
Applied linear algebra 2
 
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I've made more of my living over my career with numerical analysis than any other math course.
 
Dr. Courtney said:
I've made more of my living over my career with numerical analysis than any other math course.
Tell us how which courses helped you in your Numerical Analysis course.
 
symbolipoint said:
Tell us how which courses helped you in your Numerical Analysis course.

I'm not sure I understand the question, so if my answer is not what you were hoping for, please rephrase.

The numerical analysis course I had built upon calculus, linear algebra, diff eq, and programming. It basically taught us how to solve a broad array of problems using programming to implement the standard numerical methods. We didn't use it, but from there, it was simple to implement anything in "Numerical Recipes in C" and to know what was going on in just about any available numerical analysis library package or toolkit.
 

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