Hours 36L Curves and surfaces in 3-spaces. Frenet formulas. Curvature and geodesics. Gauss map. Minimal surfaces. Gauss-Bonnet theorem for surfaces. Surfaces of constant curvature. Prerequisite MAT224H1/ MATB24H3/ MAT224H5/ MAT247H1/ MAT247H5, MAT237Y1/ ( MATB41H3, MATB42H3, MATB43H3)/ MAT237Y5/ MAT257Y1 ( MAT257Y1 can be taken concurrently). For FASE students, MAT185H1, MAT194H1, MAT195H1, AER210H1. Breadth Requirements The Physical and Mathematical Universes (5)