What Can I Take Without Real Analysis?

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SUMMARY

The discussion centers on course selection for a bioengineering major who is considering taking advanced mathematics classes without having completed Real Analysis. The individual is currently finishing courses in Ordinary Differential Equations (ODE), Partial Differential Equations (PDE), and Complex Analysis. The suggested courses include Topology, Non-Euclidean Geometry, PDEs, and Dynamical Systems, with a recommendation that Dynamical Systems may be more beneficial than Real Analysis for their field. Additionally, caution is advised regarding Topology, as it may require prior knowledge from Real Analysis.

PREREQUISITES
  • Understanding of Ordinary Differential Equations (ODE)
  • Familiarity with Partial Differential Equations (PDE)
  • Knowledge of Complex Analysis
  • Basic concepts of Topology and its relation to Real Analysis
NEXT STEPS
  • Research the curriculum and prerequisites for Topology courses
  • Explore the applications of Dynamical Systems in bioengineering
  • Investigate Non-Euclidean Geometry and its relevance to advanced mathematics
  • Consult with professors regarding course expectations and content
USEFUL FOR

Bioengineering majors, mathematics students considering advanced courses, and anyone evaluating course options in pure mathematics without prior Real Analysis experience.

cwatki14
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Currently, I am a bioengineering major, but I have been taking math electives the past year and a half, and now I am finding myself liking pure mathematics much more than engineering and only two classes away from a degree. The two courses I need are Real Analysis and Abstract Algebra. Currently, I am finishing up an upper level course in ODE and PDE's and one in Complex Analysis. However, I am running into problems finding something to take next semester. I can't take algebra because it overlaps with Cell Biology. I want to take Real Analysis but unfortunately this super obnoxious kid is taking it, and it's only a 7 or so person class, so I don't think I could bare it. My other options are Topology, Non-Euclidean Geometry, PDE's, or Dynamical Systems. Are any of these courses suited to take without Real Analysis, or should I just suck it up and take analysis?
 
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cwatki14 said:
My other options are Topology, Non-Euclidean Geometry, PDE's, or Dynamical Systems. Are any of these courses suited to take without Real Analysis, or should I just suck it up and take analysis?

If you are in bioengineering, it looks to me that dynamical systems would be more useful to you than real analysis.
 
cwatki14 said:
Currently, I am a bioengineering major, but I have been taking math electives the past year and a half, and now I am finding myself liking pure mathematics much more than engineering and only two classes away from a degree. The two courses I need are Real Analysis and Abstract Algebra. Currently, I am finishing up an upper level course in ODE and PDE's and one in Complex Analysis. However, I am running into problems finding something to take next semester. I can't take algebra because it overlaps with Cell Biology. I want to take Real Analysis but unfortunately this super obnoxious kid is taking it, and it's only a 7 or so person class, so I don't think I could bare it. My other options are Topology, Non-Euclidean Geometry, PDE's, or Dynamical Systems. Are any of these courses suited to take without Real Analysis, or should I just suck it up and take analysis?

I'm taking PDEs next semester, but I don't think any of your choices will be terrible paths to take. Topology might be tough depending on how it's taught. Some professors base their syllabus on the understanding that you've taken a real analysis class with point-set topological theory behind it. You should talk to the prof who's teaching topology to know what you might be getting into.
 

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