MATH 322 - Graph Theory

3 units (fi 6)(EITHER, 3-0-0)

Graphs, paths and cycles, trees, planarity and duality, coloring problems, digraphs, matching problems, matroid theory. Prerequisite: One of MATH 102, 125 or 127, and any 200-level MATH course. (MATH 216 or MATH 228 recommended.)

MATH 348 - Differential Geometry of Curves and Surfaces

3 units (fi 6)(FIRST, 3-0-0)

Frenet-Seret theory of curves in the plane and in 3-space, examples; local theory of surfaces in 3-space: first and second fundamental forms, Gauss map and Gauss curvature, geodesics and parallel transport, theorema egregium, mean curvature and minimal surfaces. Prerequisites: One of MATH 102, 125 or 127 and one of MATH 209, 215, 217, 315 or MA PH 351.