Electronic Teaching Materials

Electronic Teaching Materials

Combinatorics Through Guided Discovery

An introduction to combinatorial mathematics by Kenneth P. Bogart.

Before his death in 2005, Ken Bogart was in the final stages of completing an NSF-sponsored project about the teaching of combinatorics through Guided Discovery. The textbook which grew out of this project is available via the link above.

There is also an ongoing project to make this text into a Wiki to encourage its continued development. When viable, the Wiki will supplant the current version of the text.

A solutions manual is available to instructors. For access credentials, see the Guided Discovery page.

Music and Computers

An introduction to music and computers for upper division secondary and college students.

Introduction to Probability

A text designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science, by Charles M. Grinstead and J. Laurie Snell.

Calcsite

A textbook, case studies, practice problems and more that provide an introduction to calculus--its methods, techniques, and modeling capabilities. By C. Dwight Lahr.

Open Calculus

Open Calculus is an exportable distance-learning/self-study environment for learning calculus. Embodied in this open source project is a calculus text, online homework problems, videotapes of worked examples, and more, which have been organized and linked together in a flexible fashion.

Chance

This is perhaps one of the oldest, and most complete educational resources on the web. It is supported by NSF and based at Dartmouth. Laurie Snell is the main person for its existence and continued excellence. It provides up-to-date resources of chance-related topics, including the Chance News, a searchable Chance database, and various versions of the Chance course taught at different colleges and universities. It's a perfect resource for an introductory statistics class, or something similar.

Electronic Bookshelf

This project provides an electronic bookshlf of materials that feature an interdisciplinary approach to a mathematical topic. Some of these materials can be downloaded directly and others may be obtained by contacting the listed source. Many were developed as a part of the Math Across the Curriculum Project at Dartmouth College, supported by the National Science Foundation.

Mathematics Across the Curriculum

This is a five-year project based at Dartmouth, funded by the NSF which involves almost all academic departments at Dartmouth College. The main purpose of the project is to develop modules for interdisciplinary courses where mathematics is a tool. There are already a number of courses offered under this project.

WeBWorK

This is an implementation of the University of Rochester's WeBWorK, which allows each student to get their own unique set of homework problems and receive immediate feedback on the correctness of answers via a web interface. The above link is to the courses where WeBWorK has been implemented.