Dickinson College

on sabbatical Spring 2017

Tome Scientific Building Room 237

717.245.1744

http://users.dickinson.edu/~richesod/

His research involves the study of dynamical systems from a topological viewpoint. Recent research topics include the Conley index and bounded homeomorphsims of noncompact spaces. Current projects include itineraries of circle maps and applications of the Euler characteristic.

- B.A., Hamilton College, 1993
- M.S., Northwestern University, 1994
- Ph.D., 1998

MATH 211 Discrete Mathematics

An introduction to fundamental mathematical concepts used in mathematics as well as computer science, with an emphasis on writing mathematical arguments. The course presents the principles of mathematical logic and methods of proof such as direct and indirect proofs and mathematical induction. Other topics include sets, functions, relations, matrix algebra, and techniques from elementary combinatorics and graph theory. Prerequisite: 170 or COMP 131 or departmental placement. Offered every semester.

MATH 211 Discrete Mathematics

An introduction to fundamental mathematical concepts used in mathematics as well as computer science, with an emphasis on writing mathematical arguments. The course presents the principles of mathematical logic and methods of proof such as direct and indirect proofs and mathematical induction. Other topics include sets, functions, relations, matrix algebra, and techniques from elementary combinatorics and graph theory. Prerequisite: 170 or COMP 131 or departmental placement. Offered every semester.

MATH 481 Topology

An elementary study of topological spaces. Topics include open and closed sets, the Hausdorff property, compactness, connectedness, continuity, homeomorphisms, product spaces, and the classification of spaces. Optional topics include metric spaces, identification spaces, manifolds, and the fundamental group. Prerequisite: 361 and completion of, or concurrent registration in 351. Offered in even numbered spring semesters.