Differential Forms
MATH 252
Spring 2011
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01
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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. |
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Essential Capabilities:
Logical Reasoning, Quantitative Reasoning
This class will be an introduction to differential forms, a central tool in modern topology, geometry, and physics.
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| Credit: 1 |
Gen Ed Area Dept:
NSM MATH |
| Course Format: Lecture | Grading Mode: Graded |
| Level: UGRD |
Prerequisites: (MATH221 AND MATH222) OR (MATH222 AND MATH223) |
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Fulfills a Requirement for: (COMP)(MATH) |
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Past Enrollment Probability: Not Available |
| SECTION 01 |
Major Readings: Wesleyan RJ Julia Bookstore
Bachman, A GEOMETRIC APPROACH TO DIFFERENTIAL FORMS, ISBN-10: 0817644997, ISBN-13: 9780817644994
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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 proof-based class with some computations. |
| Instructor(s): Leidy,Constance Times: ..T.R.. 10:30AM-11:50AM; Location: SCIE137; |
| Total Enrollment Limit: 25 | | SR major: 8 | JR major: 8 | | |
| Seats Available: -4 | GRAD: X | SR non-major: 0 | JR non-major: 0 | SO: 8 | FR: 1 |
| Drop/Add Enrollment Requests | | | | | |
| Total Submitted Requests: 5 | 1st Ranked: 1 | 2nd Ranked: 2 | 3rd Ranked: 0 | 4th Ranked: 0 | Unranked: 2 |
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