MATH 458 Honours Differential Geometry

3 credits · Mathematics and Statistics · Faculty of Science · Not scheduled for 2026–2027

Local theory of plane and space curves: the Frenet formulas. Local theory of surfaces: the first and second fundamental forms, the shape operator, the mean and Gaussian curvatures, the Theorema Egregium, surfaces of revolution with prescribed curvature, ruled and developable surfaces, minimal surfac…

Prerequisite courses: MATH 247, MATH 248, MATH 251, MATH 314, MATH 358

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