|Lectures (Zoom):||Mondays and Wednesdays 2-3:15pm|
|Recitation (Zoom):||Mondays 8-9:15apm|
|Office Hours (Zoom):||Mondays 4-6pm, Thursdays 11pm-12am|
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Experimental Notes on Elementary Differential Geometry (Updated regularly during semester)
This course is an introduction to differential geometry, which can be described as studying the geometric properties of a curved space using calculus. The focus will be on the geometry of curves and surfaces in 3-space but with an eye on how to extend the concepts to abstract geometric spaces. The approach taken will be more abstract than found in existing textbooks, and therefore we will rely mostly on notes I have written.
The homework and exams will focus on applying the concepts to both concrete and abstract examples using both calculations and logical reasoning. The latter is often called "doing proofs".