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  1. 5-022-T-ColdPill

    28 Jul 2016 | Modeling Scenarios

    A model for the flow of a cold pill drug through the gastrointestinal compartment to the bloodstream compartment of a human subject is proposed. Students solve the system of differential equation model, use kn own parameter values, and plot solutions. Students also determine maximum amount of...

  2. 1-065-T-Algal Blooms

    26 Jul 2016 | Modeling Scenarios

    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994. After reading a summary of articles written on the incidents, students are guided through the process of creating a first order differential equation from a verbal model of the...

  3. 6-004-T-VillageEpidemic

    04 Jul 2016 | Modeling Scenarios

    Students are offered data from a  plague  epidemic  that occurred in the   middle of the seventeenth century in Eyam, a small English village.  With only two assumptions offered to students they are to build a mathematical model of a set of  differential (or...

  4. 1-028-T-SouthernSweetIcedTea

    25 Jun 2016 | Modeling Scenarios

    We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea.  We ask students to build a mathematical model using the data to predict how long the tea should steep before essentially reaching saturation.

  5. 3-010-T-EnergyInSpringSystem

    07 Jun 2016 | Modeling Scenarios

    As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring system.

  6. 1-024-T-MalariaControl

    06 May 2016 | Modeling Scenarios

    This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations. The scenario is based on the deployment of the United States Army's 62nd Engineer Battalion to...

  7. Teaching Differential Equations Using a Modeling First Approach in SIMIODE

    27 Apr 2016 | Presentations

    A presentation, "Teaching Differential Equations Using a Modeling First Approach in SIMIODE," at the contributed Paper Session on Pedagogy,  at the MAA Metro  New York Section held at Vaughn College of Aeronautics and Technology, 4:55 - 5:10, 1 May 2016,...

  8. Integrating writing and projects into mathematics courses

    27 Apr 2016 | Presentations

    Presentation slides for  Project NExT Panel – Teaching with Projects and Technology at MAA Metro New York Section held at Vaughn College of Aeronautics and Technology, 3:15-4:15, 1 May 2016, E101.Abstract: We share a history and examples of a personal evolution for modeling...

  9. 3-030-T-SecondOrderIntro

    22 Apr 2016 | Modeling Scenarios

    Abstract:  We outline the solution strategies involved in solving second order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities. COMMENTS (to teacher): We have assembled all the techniques,...

  10. 3-030-S-SecondOrderIntro

    22 Apr 2016 | Modeling Scenarios

  11. 6-015-T-CombatingEbolaEpidemic

    28 Feb 2016 | Modeling Scenarios

    This project offers students a chance to make a policy recommendation (funding decision) based on the analysis of a nonlinear system of differential equations (disease model). The scenario is taken from the fall of 2014 when the Ebola outbreak in West Africa had killed thousands, and the United...

  12. 6-025-T-WhalesAndKrill

    18 Feb 2016 | Modeling Scenarios

    Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.  Students are asked to explain terms in the system of differential equations, compute population values using...

  13. 1-050-T-BargingAhead

    10 Feb 2016 | Modeling Scenarios

    As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy. Since expended energy is proportional to the force, and since the force is proportional to the speed, traveling too fast is inefficient. However,...

  14. SIMIODE - Building a Learning Community to Teach Modeling-First Differential Equations - A CONVERSATION

    04 Feb 2016 | Presentations

    A presentation, SIMIODE - Building a Learning Community to Teach Modeling-First Differential Equations  - A CONVERSATION,  by Dr. Brian Winkel, Director SIMIODE, Cornwall NY USA at Oregon Institute of Technology, Klamath Falls OR USA on 21 January 2016.

  15. Teaching Differential Equations the SIMIODE Way

    04 Feb 2016 | Presentations

    Teaching Differential Equations the SIMIODE Way, a presentation by John B. Thoo, Yuba College, Marysville CA at the Contributed Paper Session: The Teaching and Learning of Undergraduate Ordinary Differential Equations 2016 AMS-MAA JMM, Seattle WA USA.

  16. Modeling First Techniques Just In Time

    04 Feb 2016 | Presentations

    A Presentation by Dr. Eric Sullivan (Teacher) and Elizabeth Sullivan (Student) from Carroll College, Helena MT USA describing how differential equations is taught in a modeling first manner.

  17. SIMIODE - Building a Learning Community to Teach Modeling-First Differential Equations

    03 Feb 2016 | Presentations

    Talk given by Brian Winkel, Director of SIMIODE, at Joint Mathematics Meetings 2016 at the Contributed Paper Session:  Teaching and Learning of Undergraduate Ordinary Differential Equations, 9:00 AM Friday, 8 January 2016, Washington State Convention Center, Rm 617

  18. 1-034-T-FishMixing

    24 Dec 2015 | Modeling Scenarios

    This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a student-designed restocking and fishing plan in a lake.  The mixture is of two species of fish, one being the current sole...

  19. 3-060-T-DataToDifferentialEquation

    24 Dec 2015 | Modeling Scenarios

     Students  use their knowledge of second-order linear differential equations in    conjunction with physical intuition of spring-mass systems to estimate the damping    coefficient and spring constant from data.  The data is presented as ...

  20. 3-060-S-DataToDifferentialEquation

    24 Dec 2015 | Modeling Scenarios

    Students use their knowledge of second-order linear differential equations in conjunction with physical intuition of spring-mass systems to estimate the damping coefficient and spring constant from data. The data is presented as {%5Cit total distance traveled} instead of displacement so the...