Mathematics 265: Differential Geometry
Math 265: Differential Geometry
Spring 1999
Instructor: Dr. Cleary
E-mail: sean_cleary@csufresno.edu
Office: Peters Building 357
Phone: 278-2173
Time and Place: Tues, Thurs 3:45pm--5:00pm in Science 139
Texts: Ramsay and Richtmeyer, Introduction to Hyperbolic Geometry and
Abbot, Flatland
Other Possibly Useful Texts:
-
Gallot, Hulin, and Lafontain, Riemannian Geometry
- Milnor, Topology from the Differentiable Viewpoint
- Bloch, A First Course in Geometric Topology and Differential Geometry
- Gray, Modern Differential Geometry of Curves and Surfaces
- Millman and Parker, Elements of Differential Geometry
Possible Field Trip: To the Mathematical Sciences Research Institute,
in Berkeley, CA,
Saturday Feb 13 for the Pacific Northwest Geometry Seminar
Grading Procedures
Your grade will be computed as follows:
- Homework 20%
- Exam 1 (15%) : February 18
- Exam 2 (15%): March 18
- Exam 3 (20%): April 22
- Final Exam (30%): Thursday, May 20,
5:45pm--7:45pm
Homework Policy:
Homework will be assigned in lecture weekly.
I will also post the current homework on the
class webpage each week.
Homework will be collected at the beginning of class.
Assignments
Topics Covered
The plan is to cover the following material:
- Metrics and general metric spaces
- Measurement in R^n,, Euclidean n-space
- The hyperbolic plane
- Measurement in H^n, hyperbolic n-space
- Surfaces and manifolds in R^n
- Abstract surfaces
- General n-dimensional manifolds
Other Links