This course will explore the geometry of curves and surfaces in n-dimensional Euclidean space. For curves, the key concepts are curvature and torsion, while for surfaces, the key players are Gaussian curvature, geodesics, and the Gauss-Bonnet Theorem. Other topics covered may include (time permitting) the Four Vertex Theorem, map projections, the Hairy Ball Theorem, and minimal surfaces.
Requisites: MATH 211, MATH 271 or 272, and MATH 355 or consent of the instructor. Spring semester. Professor Cox.