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MAT 415 Differential Geometry (3 credits)

Tangent vectors and directional derivatives; mappings and differential forms on E3; Frenet fields; covariant derivatives; frame fields; Cartan structural equations; orientation; Euclidean geometry; surfaces in R3; calculus on surfaces; integration of forms; shape operators; normal and Gaussian curvature; geometry of surfaces.

Prerequisite: MAT 409.