Can't Decide What Math Course To Take Next

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SUMMARY

The discussion centers on a bioengineering major contemplating their next mathematics course, specifically between Real Analysis and other options like Topology, Non-Euclidean Geometry, PDE's, and Dynamical Systems. The individual expresses a strong preference for pure mathematics but is hesitant to enroll in Real Analysis due to a disruptive classmate. It is concluded that while some courses may be taken without Real Analysis, it is highly recommended to prioritize this course for a solid foundation in pure mathematics. Engaging with professors for advice on course prerequisites is also suggested.

PREREQUISITES
  • Understanding of Ordinary Differential Equations (ODE) and Partial Differential Equations (PDE)
  • Familiarity with Complex Analysis concepts
  • Basic knowledge of Topology and its relevance in mathematics
  • Awareness of course structures and prerequisites in mathematics departments
NEXT STEPS
  • Research the curriculum and prerequisites for Real Analysis courses at your institution
  • Explore the content and requirements of Topology and Non-Euclidean Geometry
  • Consult with professors regarding the feasibility of taking PDE's or Dynamical Systems without prior Real Analysis
  • Investigate strategies for managing classroom dynamics and social interactions in small classes
USEFUL FOR

Students majoring in mathematics or related fields, particularly those transitioning from engineering to pure mathematics, and anyone seeking guidance on course selection in advanced mathematics.

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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Depending on how the courses are taught, you might be able to take PDE's or Dynamical Systems without a class in analysis, but it sure wouldn't hurt to have first. You could check with the professors of these classes, and see what they think. However, any good topology class without any course in Real Analysis is out of the question.

I'd think that if you are more interested in pure mathematics, you should take real analysis as soon as possible. It sounds like you already sort of know this, but are avoiding it for social reasons. There are annoying people everywhere, and there could just as easily be someone else just as annoying in whichever other class you decide to take.
 

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