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Course Description

Summary

This class is a broad survey of mathematical theories and techniques which are applied in the physical sciences and engineering, but also are of interest in their own right. The class will cover fundamentals of ordinary and partial differential equations, fundamental to classical mechanics, electrodynamics, quantum mechanics, and chemistry. A large part of the course will cover Fourier analysis, which is deeply connected to the solution of partial differential equations, but also of interest in many other applications. The class will also touch on topics such as asymptotics, calculus of variations, and complex analysis. Note that in our non-standard calculus sequence, we do not cover some standard computational techniques of calculus in the introductory course MAT 4288 Calculus: A Classical Approach. Some of those techniques will be covered in this class instead. Therefore, this class can be a good choice for students who took Calculus: A Classical Approach and want to go further with calculus.