MATH 251
Spring 2007 not offered
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The theory of discrete groups is especially beautiful as it intertwines geometry, analysis, and topology. This class will introduce undergraduates to this exciting and fast-moving field. We will start with the study of a geometry that is very different from the usual geometry. For instance, in this geometry (hyperbolic geometry) the sum of the angles of a triangle is strictly smaller than 180 degrees (and in fact could be zero!) We then consider ways of building more complicated shapes with this geometry (the theory of Kleinian groups). Though Kleinian groups are easy to define objects, their behavior can be quite complicated and beautiful. |
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Essential Capabilities:
Quantitative Reasoning |
| Credit: 1 |
Gen Ed Area Dept:
NSM MATH |
| Course Format: Seminar | Grading Mode: Graded |
| Level: UGRD |
Prerequisites: None |
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Fulfills a Major Requirement for: None |
Major Readings:
TBA
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Examinations and Assignments:
Short class presentations and one longer presentation at the end of the semester. |
Additional Requirements and/or Comments:
It is recommended that beyond the basic calculus sequence students have taken at least one higher level mathematics course such as Math 225, Math 228, or Math 261. This course will be taught simultaneously at Wesleyan and Boston College. There will be four required joint Saturday seminars, two of them at Wesleyan, and two at Boston College (travel will be arranged). |
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