This is a two semester course aimed at giving a realtively thorough introduction to "point set topology" followed by highlights from knot theory and the geometry of curves and surfaces. Point set topology is the mathematical structure underlying continuity and is essential to analysis, geometry and topology. Knot theory is a surprisingly rich and interesting area of active research in topology. In this course I will try to give a flavor for "low dimensional topology" via knot theory. By studying the geometry of curves and surfaces we will be able to see the origins of, and get a feel for, many important geometric notions, like "curvature", "geodesics" and "connections".
The first semester will cover point set topology, the classification of surfaces and some knot theory.
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Office Hours: Tuesdays 9:30 to 10:30 and Thursdays 10:30 to 11:30.
Lectures: Tuesday and Thursday 12:00 to 1:30 in the David Rittenhouse Laboratory Building room 2C2.
The course grade will be based on the following.
Homework: 40%Return to my home page.