## Recently Published

##### 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.