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  1. 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.

  2. 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...

  3. 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...

  4. 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.

  5. 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...

  6. Discover for Yourself: An Optimal Control Model in Insect Colonies

    31 May 2015

    We describe the enlightening path of self-discovery 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...

  7. 1-005B-T-ChemDataCollection

    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...

  8. 1-005A-T-ChemDataCollection

    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...

  9. 1-005A-T-OilSlick

    30 May 2015 | Modeling Scenarios

  10. 1-005-T-OilSlick

    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 ...

  11. 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...

  12. 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 in-class 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...

  13. 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...