**Instructor.** Michael Anderson, Math Tower 4-110.

E-mail: anderson@math.sunysb.edu, Phone: 632-8269.

Lectures: Tu/Th: 12:50-2:10, in Math Tower P-131.

**Office Hours.** MWF 2-3pm, and by appointment.

**Course Description.** The foundation of differential geometry is the
concept of curvature. The course will focus on understanding this and related
concepts very clearly, both geometrically and computationally, for the case of
surfaces in Euclidean space. For this, you'll need a solid background in
multivariable calculus and linear algebra. We hope to give some idea of how
curvature is understood in higher dimensions; this is the basis of Riemannian
geometry and General Relativity.

**Prerequisites.** MAT 205 (Calc III) and MAT 210 (Linear Algebra).

**Text.**
Manfredo do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall, (1976).

This text is (or should be) in the bookstore, and you will need to have it.
The book is expensive, but you should be able to find a reasonable price with an
online search.

There are many other good texts on this subject. Some other sources you
might like to look at are:

- Andrew Pressley, Elementary Differential Geometry, Springer Verlag, 2001.
- B. O'Neill, Elementary Differential Geometry.
- Millman and Parker, Elements of Differential Geometry.

**Assignments and Grading.** There will be one Midterm Exam,

Final Exam Date: Tuesday, May 19, 11am - 1:30pm.

There will be regular homework assignments, due roughly once per week. Your grade will be determined via the following percentages:

- Homework: 50%
- Midterm: 20%
- Final: 30%
- HW1
- HW2
- HW3
- HW4
- HW5: You may hand in this HW on Thursday, March 12 or Tuesday, March 17.
- HW6
- HW7
- HW8
- HW9

Homework assignments will appear on this page during the course of the semester.

The Take Home Final Exam is here. The exam is due on Tuesday, May 19, 1:30pm, at my office.

*Americans with Disability Act.* If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disabled Student Services in ECC (Educational Communications Center) Building, Room 128, (631) 632-6748, or at the website here. They will determine with you what accomodations are necessary and appropriate. All information and documentation is confidential.

Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disabled Student Services. For procedures and information, go the following website: http://www.stonybrook.edu/ehs/fire/disabilities.shtml, here