MATH 485 Introduction to 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.
Calculus III, and either MATH 226
Linear Algebra & Probability for Engineers or MATH 228
Introduction to Linear Algebra (all with a grade of C- or higher). Admission to a Master’s program is also an acceptable prerequisite.