Course Description: This course elementary differential geometry, using the tools of linear algebra and advanced calculus. We will use the book Elementary Topics Differental Geometry (Springer, 1979) by J.A. Thorpe. The course will cover Chapters 1-12,14,15, and some additional topics. (I hope to get as far as the Gauss-Bonnet theorem.)
You can download a slightly more detailed outline of the course in the form of a PDF file.
I will post homework assignments as they are given.
Supplemental Materials: From time to time I will supply some additional explanations or background relating to topics in the course. These will be in the form of PDF files.
|Differential Equations||Some background on the existence and uniqueness theorems for ordinary differential equations.|
Grading: There will be a final, and a midterm, as well as weekly homework.
Office Hours: Tuesday and Friday 10:30-12, and by appointment. My office is 310 Goldsmith; phone is x63074.