
5022TColdPill
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...

1065TAlgal 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...

6004TVillageEpidemic
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...

1028TSouthernSweetIcedTea
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.

3010TEnergyInSpringSystem
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 massspring system.

1024TMalariaControl
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 nonlinear (logistic growth) differential equations. The scenario is based on the deployment of the United States Army's 62nd Engineer Battalion to...

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,...

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, 3:154:15, 1 May 2016, E101.Abstract: We share a history and examples of a personal evolution for modeling...

3030TSecondOrderIntro
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,...

3030SSecondOrderIntro
22 Apr 2016  Modeling Scenarios

6015TCombatingEbolaEpidemic
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...

6025TWhalesAndKrill
18 Feb 2016  Modeling Scenarios
Students will use Excel to observe qualitative behavior in a simulation of a predatorprey 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...

1050TBargingAhead
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,...

SIMIODE  Building a Learning Community to Teach ModelingFirst Differential Equations  A CONVERSATION
04 Feb 2016  Presentations
A presentation, SIMIODE  Building a Learning Community to Teach ModelingFirst 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.

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 AMSMAA JMM, Seattle WA USA.

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.

SIMIODE  Building a Learning Community to Teach ModelingFirst 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

1034TFishMixing
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 studentdesigned restocking and fishing plan in a lake. The mixture is of two species of fish, one being the current sole...

3060TDataToDifferentialEquation
24 Dec 2015  Modeling Scenarios
Students use their knowledge of secondorder linear differential equations in conjunction with physical intuition of springmass systems to estimate the damping coefficient and spring constant from data. The data is presented as ...

3060SDataToDifferentialEquation
24 Dec 2015  Modeling Scenarios
Students use their knowledge of secondorder linear differential equations in conjunction with physical intuition of springmass 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...