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Georgetown University

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Fall 2017
May 27, 2020
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MATH 205 - Vector Analysis/Diff Geometry
This course is a continuation of multivariable calculus. In Calculus you learned how to integrate along straight lines and on two-dimensional or three-dimensional regions. In this course you will learn how to integrate along curves and on surfaces. In this context some sweeping generalizations of the fundamental theorem of calculus are obtained. We will discuss line integrals, Green's Theorem, surface integrals, the definition of divergence and curl, and the theorems by Gauss and Stokes. Furthermore, some geometric concepts such as surface area and curvature will be introduced.

Vector analysis has many applications, in particular to engineering and physics. As an application we may visit Maxwell's equations which are the basic equations of electrodynamics. This course is a capstone to the calculus sequence and students should gain some appreciation of the interplay of calculus and geometry in three-dimensional space.

3.000 Credit hours
3.000 Lecture hours

Levels: Undergraduate
Schedule Types: Lecture

Mathematics Department

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