This workshop will present an innovative curriculum that is a hybrid of the standard courses mentioned in the title. The mathematical focus is on discrete models defined by difference equations, and the continuous models that they reveal. The goal is to give students a realistic sense of how math actually gets applied. At the same time, the development and exploration of these models is an effective vehicle for having students review many of the ideas from standard college algebra courses.

The presentation will follow this outline:

1. Motivation for the course: dissatisfaction with standard curricular options.
2. Principles underlying the curricular design.
3. Progression of mathematical ideas from arithmetic to logistic growth, climaxing with a new discrete version of logistic growth.
4. Pedagogy; Instructional approaches.
5. Technology. Available suite of excel-based exploratory tools.
6. Experiences of teachers using this curriculum.

Workshop website: http://emm2e.info/workshopSE/