Discrete Mathematics

Puzzles and Patterns in Mathematical Thinking

About Discrete Mathematics

Discrete Mathematics focuses on problems involving discrete sets, such as whole numbers or finite structures, in contrast to Calculus that fundamentally uses the continuum of the real number system to make it tick.

Textbook information

Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns and Games by D. Ensley and W. Crawley, Shippensburg University, published by John Wiley & Sons, September 2005. Click here for more information.

Instructor's guide

Powerpoint slides

Known errors in the first printing of the text

Errors that persist in the second printing.

Interactive applications

Indexed to the sections of the book, these mobile-friendly pages provide interactive examples and immediate feedback on understanding of the material. This replaces the Flash-based applications that are no longer supported by all browsers.

Presentation slides and resources

Mathematical Proof, Online Assessment, and High School Connections in First-Year Discrete Mathematics, presentation at the MIT Electronic Seminar on Mathematics Education (02/2021).

Competition problems and rich mathematical tasks, presentation at the SU Math Department seminar (09/2020).

Recent AMC 8 Problems related to the discrete mathematics, from the Art of Problem Solving website.

Recent AMC 10 Problems related to the discrete mathematics, from the Art of Problem Solving website.

Contact Doug Ensley

Douglas Ensley, Ph.D.
Professor of Mathematics
Shippensburg University
Shippensburg, PA 17257
Phone: 717.477.1406

deensley@ship.edu

http://webspace.ship.edu/deensley/