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 681 - Topics in Algebra

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

MATH 447 - Elementary Topology

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

General point-set topology. Compactness, Tychonoff's tbeorem, connectedness. Metric spaces, completeness, Baire's theorem. Urysohn's lemma. Topological manifolds. Homotopy theory, fundamental group, covering spaces. Prerequisite : MATH 216 or 217. Corequisites: MATH 328 or MA PH 464. Offered in alternate years. It may be offered in intervening years if demand is sufficient.