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For next semester I need to choose between Number Theory or Complex Variables. I am under the impression that complex variables will be the more useful class for my physics education, however I had some concerns about the level of difficulty, already being registered for 15 hours. Further, number theory is now listed as a "recommended" prerequisite for Abstract algebra, which I plan on taking next fall. But, I'm not sure exactly how what I would learn in the Number Theory course would apply to what I will be studying in physics. Are some of the number theory topics things I can pick up on my own? Are complex variables tough? What is the more useful class? Here are the course descriptions:

221. Theory of Numbers. The Euclidean algorithm, Euler’s phi function, simple continued fractions, congruences, Fermat’s theorem, Wilson’s theorem, and elementary Diophantine equations.

261. Complex Variables. Study of complex numbers, analytic and elementary functions, transformations of regions, properties of power series, including Taylor’s and Laurent’s. The calculus of residues with applications, conformal mapping with emphasis upon boundary value applications

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# Number Theory or Complex Variables?

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