MATH 585 Graduate Differential Geometry
	This course discusses the classical theory of curves and surfaces in space and introduces the students to the basic concepts of Riemannian geometry including differentiable manifolds, the metric tensor, the Levi–Civita connection, and the Riemann curvature tensor. This is a linked course with MATH 485, no credit given to students with credit for MATH 485.
 Credits
4
	
		Prerequisite
	
MATH 222 and either 
MATH 226 or 
MATH 228 (all with a grade of C- or higher).  Admission to a Master's program is also an acceptable prerequisite.