Recently Published
TestHandingIn
Testing out a way to attach files to an Rmd -> HTML file published as a single file.
Using Google
A demo of shared data entry
Kenyon College
Some instructions on using markdown
Logistics
From the ECOTS workshop. Logistics of teaching with R.
Modeling
For the ECOTS workshop
2014-04-07-notes
Notes for today's class
R in the Classroom - I
Slides from the Sunday session
Syllabus for Data and Computing Fundamentals
Spring 2013
Basic Syntax in R
Syntax for the DCF course
Anticipating the Online Future
Notes for the Macalester College Faculty Meeting discussion of the Online Future, Dec. 11, 2012
Feedback on Initial Design of Island Project
From Fall 2012
Bias in promotion?
A demonstration of markdown/knitr
Reading Reflections for Epidemiology
Reading reflection questions for Math 125 Epidemiology
A Class for Parents
Notes for an orientation-day session for parents of new students at Macalester.
Starting with RStudio at Macalester
Instructions for logging in to the Macalester RStudio server.
Math 155: Introduction to Statistical Modeling
Syllabus for Fall 2012
Teaching Statistical Modeling with the <code>mosaic</code> Package
An orientation to the mosaic package for instructors.
Math 125: Epidemiology, Fall 2012
Schedule for Math 125, Epidemiology, at Macalester College
Modeling Definitions
Definitions of modeling at the PREP-2012 conference.
Ballistics and Quadratics
Should a falling ball follow a quadratic? How important is air resistance in a model of ballistics?
Modeling and Mathematics
Points for a discussion of the differences between modeling and mathematics.
A Fitting Problem
Use fitting to introduce questions of model choice and evaluation, and how the choice of a model depends on the purpose for which it is to be used.
Calculus-Related Modeling Concept Inventory Settings
A working draft of calculus concept inventory questions, still in the open-ended questions phase.
Rowing with Calculus
Adding some realism to the cross-the-river problem.
Introducing Functions of Multiple Variables
Some strategies for introducing functions of multiple variables.
Dog Calculus is Really Economics
How can a dog do calculus?
Optimization in One-Variable
Notes about optimization in one variable
PREP 2012 Pre-Workshop Survey
Results from a pre-workshop survey given to participants in the PREP 2012 workshop on modeling in calculus.
Traffic light capacity model
Instructions for a modeling problem that introduces integration.
QALY 3
Optimization on functions constructed from data.
QALY Problem 2
Turning constrained optimization into unconstrained optimization by elimination of a variable.
QALY Problem 1
A three-variable constrained optimization problem done using concepts from calculus of one variable.
Constrained Optimization Intro
Notes on constraints and objective functions
Graphical Multivariate Optimization Examples
Some constrained optimization problems done graphically
Algebra and Differential Equations
Some examples of how an algebraic approach to differential equations is problematic.
Lagrange Multipliers
Two different textbook explanations of Lagrange Multipliers, one algebraic and algorithmic, the other graphical.
Related Rates
An approach to related rates problems based on contour plots.
An Optimization Problem
An example of an optimization problem that conflicts with good modeling ideas.
The Snowy Tree Cricket
An example to illustrate the why one should ask, "What's a model for?"
Walking, Energy, and Interpolating Functions
An exercise based on biomechanical data on the energy stored by the arch of the foot when walking.
Fitting Hill Functions
Revisiting problems from Smith & Minton about Hill functions
Measuring Flow (of Orange Juice)
A short project introducing splines, monotonicity, continuity and differentiability, and derivatives.
Modeling with Series
#PREP2012
Modeling with Limits
#PREP2012
Optimization in One Variable
#PREP2012
Integration
#PREP2012
Differentiation
Notes on differentiation in a modeling-based calculus course
#PREP2012
Approximation with Polynomials
#PREP2012
Functions Functions for Modeling
Notes on teaching about functions in a modeling-based calculus course.
#PREP2012
Linear Models of Relationships
Some examples of uses of straight line functions to model relationships and the limitations of doing so.
Is Cooling Exponential?
Fitting exponential models to the temperature of cooling coffee. (Data collected by Stan Wagon.)
Mortgage differential equation
Finding the monthly payment by integrating a differential equation representing a mortgage payment.
Cobb-Douglas Production Function
An introduction to the Cobb-Douglas production function illustrating some features of the functional form.
Modeling Tides
A modeling example involving fitting sine waves to tide data to find the tidal period.