Students in this course study the foundation of modern differential geometry. Topics include curves, Frenet-Serret trihedron, surfaces, fundamental forms, Gauss map, Gaussian curvature, Theorema Egregium, Geodesics,Gauss-Bonnet Theorem. Prerequisite: MATH 3170 with a minimum grade of C and MATH 3070 with a minimum grade of C
Students in this course study the foundation of modern differential geometry. Topics include curves, Frenet-Serret trihedron, surfaces, fundamental forms, Gauss map, Gaussian curvature, Theorema Egregium, Geodesics,Gauss-Bonnet Theorem. Prerequisite: MATH 3170 with a minimum grade of C and MATH 3070 with a minimum grade of C