MATH 565
Differential Geometry
Mathematics
College of Physical and Mathematical Sciences
Course Description
A rigorous treatment of the theory of differential geometry.
When Taught
Winter Odd Years
Grade Rule
Grade Rule 8: A, B, C, D, E, I (Standard grade rule)
Min
3
Fixed
3
Fixed
3
Fixed
0
Other Prerequisites
Math 342 or equivalent
Title
Overview
Learning Outcome
Differential topology
Riemannian metrics
Geodesics
Curvature
Integration on manifolds
Title
Learning Outcomes
Learning Outcome
Students should achieve mastery of the topics listed in the minimal learning outcomes section of the Math 565 Wiki page. This means that they should know all relevant definitions, full statements of the major theorems, and examples of the various concepts. Further, students should be able to solve non-trivial problems related to these concepts, and prove theorems in analogy to proofs given by the instructor.
