Is this course taken after Differential Equations?

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Discussion Overview

The discussion centers around the course "Complex Variables with Applications," specifically regarding its prerequisites, classification as applied or pure mathematics, and recommendations for textbooks. The scope includes academic course structure and content requirements.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant inquires whether "Complex Variables with Applications" is taken after Differential Equations and seeks clarification on its nature as applied or pure math.
  • Another participant references a specific MIT course that lists Differential Equations as a prerequisite, suggesting that the theoretical aspect is pure math while the applications indicate a practical component.
  • A different participant challenges the notion that there is a universal requirement for Differential Equations as a prerequisite, stating that at their institution, the prerequisites are different and include calculus and an introductory proofs class.

Areas of Agreement / Disagreement

Participants express differing views on the prerequisites for the course and its classification, indicating that there is no consensus on a universal standard.

Contextual Notes

The discussion highlights the variability in course prerequisites across different institutions and the potential ambiguity in course titles and content.

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Is the course "Complex Variables with Applications" taken after Differential Equations? Is this course applied or pure math? Can someone recommend me a good textbook for this course?
 
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Without the course contents, the title could mean anything from high school up to grad school level.

If you mean this http://ocw.mit.edu/courses/mathematics/18-04-complex-variables-with-applications-fall-2003/index.htm or something similar, it says Differential Equations are a prerequisite.

The theory part of that MIT course is pure math - similar courses are sometimes called Complex Analysis. For the application part, the clue is in the word "applications".
 
Thank you.
 
There is no Math Czar (at least not in the US) who dictates to colleges and universities that "thou shalt require Differential Equations as a prerequisite for Complex Variables." At the college where I work, the prereqs for Complex Variables are the calculus sequence and the intro to proofs class ("Transition to Advanced Mathematics").
 

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