# Pub116

## Contents

## PREP 2012 Modeling: Early and Often in Undergraduate Calculus

This is the original public interface to materials for the **MAA PREP 2012** workshop on modeling-based calculus. The materials themselves are now posted at
prep2012.mosaic-web.org

The workshop will be held **July 9-13**, 2012 in Grand Rapids, Michigan. If you are interested in registering, go to the MAA registration page.

# Participant Resources

## Before the Meeting

These are readings and presentations to peruse before the workshop.

#### Syllabi for Modeling-Based Calculus Courses

- Macalester College Math 135: Applied Calculus (Project MOSAIC participants' link.)
- Appalachian State University

#### Modeling in the Curriculum

*Identifying Modeling Concepts*from the MOSAIC kick-off workshop: video and slides*A panel discussion on modeling-based calculus*with Mariah Birgen, Laurie Heyer, and Joe Mahaffy video and slides

#### Settings for Modeling Case Studies

During and after the workshop, participants will develop a modeling case study that's relevant to a course they teach. Here are some suggested settings for case studies. The name identifies the person who suggested the setting.

*The Island: Letting Students Experiment and College Data*by Michael Bulmer video. This is a simulation of realistic demographics, disease, and physiology from which students can collect data for modeling.- Michaelis-Menton dynamics and data: Randy Pruim
- Weight Loss and the difference between linear and exponential models. Article in the
*Lancet* - Facebook, logistic and other S-functions, by Chad Topaz. blog entry
- Heat engines: Danny Kaplan and Dan Flath (links to Math 135 handouts)
- Pressure and volume in cardiology, Dan Flath. wikipedia article and a draft write-up by Dan.
- Normal forest cycle optimization. Eric Marland
- Microwave popcorn, derivatives and related rates. Danny Kaplan
- ISLM model in economics. Dan Flath
- Using simple lab instrumentation, e.g. Vernier LabPro
- GPS position and velocity. Danny Kaplan
- Dimensional analysis and the atomic bomb, by Chad Topaz video and slides
- Mosquito-borne disease epidemics, by Jeff Knisely video and slides
- Fish growth (for a differential equations/dynamics course). M-CAST presentation by Rachel Miller Neilen (video and slides) and link to the Stierhoff, Targett, and Miller article from which the data are drawn.
*Modeling Love, War, and Zombies*: David Joyner video and slides*Coupled Oscillators: Joggers, Fireflies and Finger Coordination*: Tanya Leise video and slides

#### Computer Resources

The workshop leaders will attempt to help participants using any of the commonly used commercial mathematical computation systems: Mathematica, Maple, MATLAB, etc.

We will focus instruction, however, on two specific systems: **R** and **Sage**. We figure that if you already have access to a commercial system, you likely already have resources to learn it. For those new to teaching with computation, R and Sage are particularly attractive since they are powerful, free, and can be accessed by students via a web browser interface.

##### R

*StartR in Calculus*, a book to introduce students to R and the calculus-oriented features of the`mosaic`

package- RStudio server at Calvin College

##### Sage

- Calvin College Sage server
- Karl-Dieter Crisman on the
*Notebook Interface to Sage*: video and Sage notebook. - Materials from the MAA PREP 2012 workshop on Sage (to be posted)
- Some Sage modeling examples