MATH 665 - Differential Geometry

Units: 4
Local and global theories of curves and surfaces. Parametrization, canonical coordinates, ruled and minimal surfaces, geodesics, change of parametrization, differential functions on surfaces, tangent planes and differentials, isometries, conformal maps.

Prerequisites: MATH 230 and MATH 310.
Possible Instructional Methods: Entirely On-ground.
Grading: A-F grading only.
Student Learning Outcomes - Upon successful completion of this course students will be able to:

Apply the fundamental definitions and theorems of differential geometry.
Apply the techniques of differential geometry to solve problems.