
Modeling Sublimation of Carbon Dioxide
31 May 2015
We report results in our efforts to model sublimation of carbon dioxide and the associated kinetics order and parameter estimation issues in our model.

Modeling a Mystery Circuit in Mathematics Class Using Differential Equations, Laplace Transforms, and Transfer Functions
31 May 2015
We discuss the introduction, student discovery, and teaching of a system of differential equations which model a circuit. In an engineering mathematics course we provide sufficient conceptual framework (Conservation of Charge and Kirchhoff's Circuit Laws) and background in differential...

Teaching Modeling with Partial Differential Equations: Several Successful Approaches
31 May 2015
We discuss the introduction and teaching of partial differential equations (heat and wave equations) via modeling physical phenomena, using a new approach that encompasses constructing difference equations and implementing these in a spreadsheet, numerically solving the partial...

Sourcing for Parameter Estimation and Study of Logistic Differential Equation
31 May 2015
We present two simulation activities for students to generate real data and several data sources for the purpose of estimating parameters in the logistic differential equation model.

Informed Conjecturing of Solutions for Differential Equations In a Modeling Context
31 May 2015
We examine two differential equations, (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their solution. We...

Discover for Yourself: An Optimal Control Model in Insect Colonies
31 May 2015
We describe the enlightening path of selfdiscovery afforded to the teacher of undergraduate mathematics. This is demonstrated as we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum...

1005BTChemDataCollection
30 May 2015  Modeling Scenarios
We present a situation in which a chemistry graduate student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not keep track of...

1005ATChemDataCollection
30 May 2015  Modeling Scenarios
We present a situation in which a chemistry graduate student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, she only collects the data at the start and end of a number of ten minute intervals and does not keep track of...

1005ATOilSlick
30 May 2015  Modeling Scenarios

1005TOilSlick
30 May 2015  Modeling Scenarios
We describe a modeling activity for students in which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...

Sylvanus Thayer Flipped Out Method Ahead of Its Time  JMM 2014
30 May 2015  Presentations
Sylvanus Thayer is dead, but the Thayer Method of teaching – modified as with all things – lives on at West Point. We discuss how students come to class prepared from reading and attempted scaffolded activities before class and how that energizes the classroom activities and...

Active Assessment and Group/ Individual Final Exams  JMM 2014
30 May 2015  Presentations
We present and discuss an approach we have used in a mathematical modeling course in which inclass assessment through overlooking small group work, presentations, routine “board" work in which students offer up their ideas simultaneously for teacher and peer feedback.The culmination...

Differential Equations Taught in an Original Way  2015 Jan 10  JMM
30 May 2015  Presentations
Application and modeling are beyond manipulation and solving in a differential equations course. We use modeling scenarios to drive the learning and to the mathematical concepts and techniques in a collegial learning community called SIMIODE  Systemic Initiative for Modeling Investigations and...