Differential Forms
MATH 252
Spring 2012 not offered

This class will be an introduction to differential forms, a central tool in modern topology, geometry, and physics. The course begins where MATH222 ends, with Green's theorem, the divergence theorem, and Stokes' theorem. All of these theorems are special cases of one theorem, known as the general Stokes' theorem, about integration of differential forms. The objective of the first part of the course will be to understand and prove this theorem. We will then discuss manifolds and what can be learned about them using differential forms, concentrating on de Rham cohomology. 
Essential Capabilities:
Logical Reasoning, Quantitative Reasoning This class will be an introduction to differential forms, a central tool in modern topology, geometry, and physics.

Credit: 1 
Gen Ed Area Dept:
NSM MATH 
Course Format: Lecture  Grading Mode: Graded 
Level: UGRD 
Prerequisites: (MATH221 AND MATH222) OR (MATH222 AND MATH223) 

Fulfills a Major Requirement for: (COMP)(MATH) 
Major Readings:
Bachman, A GEOMETRIC APPROACH TO DIFFERENTIAL FORMS, ISBN10: 0817644997, ISBN13: 9780817644994

Additional Requirements and/or Comments: The student should have already taken MATH222 and either MATH221 or MATH223, and should be aware that this is a proofbased class with some computations. 
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