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Vector Calculus and Di erential Forms with Applications to ...

Vector Calculus and DifferentialForms with Applications toElectromagnetismSean RobersonMay7,2015P R E F A C EThis paper is written as a final project for a course in Vector analysis,taught at Texas A&M University - San Antonio in the spring of2015as an independent study in mathematics, physics, engineering, and the sciencesusually go through a sequence of three Calculus courses before go-ing on to differential equations, real analysis, and linear algebra . Inthe third course, traditionally reserved for multivariable Calculus , stu-dents usually learn how to differentiate functions of several variableand integrate over general domains in space. Very rarely, as was mycase, will professors have time to cover the important integral theo-rems using Vector functions: Green s Theorem, Stokes Theorem, some universities, such as UCSD and Cornell, honors students areable to take an accelerated Calculus sequence using the textVector Cal-culus, Linear algebra , and Differential Formsby John Hamal Hubbardand Barbara Burke Hubbard.

able to take an accelerated calculus sequence using the text Vector Cal- culus, Linear Algebra, and Differential Forms by John Hamal Hubbard and Barbara Burke Hubbard.

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