- Slides
- Participants' Definitions of Calculus and Modeling

- Orientation to RStudio
- Getting Started with R
- The most important template in R
- Calculus operations in the
`mosaic`

package. (*Start R in Calculus*)

- Using R Markdown

- Deliverable: Use RMarkdown to defend your choice of functions

- Examples: world population, tides, income and housing, cooling water

- The process of modeling
- Group work on model settings

- Data + Form + Fit = Modeling

While we are gathering, try your hand at some of these quizzes, which can serve as a review of yesterday and as examples of the kinds of assessment activities you can give students. (Taken from Applied Calculus at Macalester.)

- General comments on models, mathematics, and calculus and on teaching derivatives and anti-derivatives
- From a function to its derivatives: HIV prevalence and incidence; economic production; celebrity divorce
- From a derivative to a function: distance travelled by a car and traffic light capacity. Some other integration model settings

**Deliverable**: Write up something using Rmd or Rnw.

- Try some of the quizzes above
- Or work on an example/activity/exercise of your own choosing

- pdf and comments to instructors
- Functions in Two Variables.
- Transformations. Example:
`fetchData("used-hondas.csv")`

- Using
`fitModel()`

,`lm()`

,`nls()`

- Precision via resampling
- Residuals – looking at the cooling water:
`fetchData("PREP/water-cooling.csv")`

- Danny's history as an R script

- Activity: Drawing contours

- Activity: the ideal gas law

- Finding “drop-in” modeling activities
- Converting non-modeling activities to modeling activities
- Finding data
- pouring orange juice, cell telephone sensor data
- 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.

- Some bogus models: Snowy Tree crickets and beach crowds

- Dynamics
- Units and dimensions
- Optimization. One variable, multiple variables, multiple variables with constraints introduction and examples, and Lagrange multipliers

- Learning objectives
- Mathematical objectives
- Participant presentations: Your modeling setting
- Writing modeling projects and exercises

- The good and bad of open-ended activities
- Participant Presentation: Leading us through a model