
Approximating cosine and sine functions numerically
01 Mar 2018  Contributor(s): Hans Rudolf Schneebeli
Abstract:How can function values for sine or cosine be quickly and reliably numerically estimated? We consider equal circular motions on the unit circle in the complex plane and find sine and cosine as solutions of a differential equation. The two functions can be numerically...

Two competing populations: simulations with differential equations
01 Mar 2018  Contributor(s): Hans Rudolf Schneebeli, Claudio Marsan
Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the logistic...

Population Modeling
01 Mar 2018  Contributor(s): Hans Rudolf Schneebeli, Claudio Marsan
This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in Differentialgleichungen."Hans R....

Modeling Falling Bodies
01 Mar 2018  Contributor(s): Hans Rudolf Schneebeli
Modelling falling bodies is discussed using a computer algebra systemcalculator and introducing various traditional and elementary methods from calculus as well as numerics for dealing with the resulting ordinary differential equations.This article is in German under the title,...

SCUDEM II 2018 Modeling Problems and Team Submissions
10 Feb 2018  General Resources  Contributor(s): Brian Winkel
SCUDEM II 2018 PROBLEMS AND SUPPLEMENTAL ISSUESHere you will find one PDF document, SCUDEM II 2018 Problems A B C.pdf  as black box Download pdf above, containing all three of the Modeling Problems for use in SCUDEM II 2018, along with a reference paper for one of the problems....

1079SHomeHeating
30 Jan 2018  Modeling Scenarios  Contributor(s): Kurt Bryan
This project concerns the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return? Both scenarios are analyzed in a series of exercises.

1079THomeHeating
30 Jan 2018  Modeling Scenarios  Contributor(s): Kurt Bryan
This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return? Both scenarios are analyzed in a series of exercises. The...

Modeling the Opioid Epidemic in the United States
19 Jan 2018  Potential Scenario Ideas  Contributor(s): Brian Winkel, Bill Skerbitz
Bill Skerbitz, Wayzata High School, Plymouth MN USA, passed this along as an idea for a Modeling Scenario."When I met with Bev West, Emerita Ithaca College, Ithaca NY USA, she mentioned that they plan on putting out a special issue of the CODEE journal that is focused on matters of...

Dina Yagodich  Sneaking in LaTeX
19 Jan 2018  Presentations  Contributor(s): Dina Yagodich
Sneaking in LaTeXBy Dina Yagodich, Frederick Community CollegeThis talk was part of a different COntributed Paper Session, but was deemed appropriate to list here as the presenter was an organizer of the AMS Special Session on Modeling in Differential Equations  High School, TwoYear...

Yagodich, Winkel, Skerbitz, Harwood  Panel  Experience with Engaging in Modeling in a Differential
19 Jan 2018  Presentations  Contributor(s): Brian Winkel, Dina Yagodich, Richard Corban Harwood, Bill Skerbitz
Panel  Experience with Engaging in Modeling in a DifferentialBy Dina Yagodich, Frederick Community Colllege; Brian Winkel, SIMIODE; Bill Skerbitz, Wayzata High School; Corban Harwood, George Fox University.A panelgiven at the AMS Special Session on Modeling in Differential Equations...

Corban Harwood  Managing Project Logistics in Teaching Differential Equations
19 Jan 2018  Presentations  Contributor(s): Richard Corban Harwood
Managing Project Logistics in Teaching Differential EquationsByCorban Harwood , George Fox University.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January 2018.

Jennifer Czocher  What outcomes might we anticipate from students engaging concurrently with modeling and differential equations content?
19 Jan 2018  Presentations  Contributor(s): Jennifer Czocher
What outcomes might we anticipate from students engaging concurrently with modeling and differential equations content?ByJennifer Czocher, Texas State University  San Marcos.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear...

Farley and Tiffany  Time to Change our Traditional Differential Equations
19 Jan 2018  Presentations  Contributor(s): Patrice Geary Tiffany, Rosemary Carroll Farley
Time to Change our Traditional Differential Equations By Rosemary Farley and Patrice Tiffany, Manhattan College.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego...

Nathan Pennington  Modeling in an Integrated Mathematics and Physics Course
19 Jan 2018  Presentations  Contributor(s): Nathan Pennington
Modeling in an Integrated Mathematics and Physics CourseBy Nathan Pennington, Creighton University. A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913...

Christina Alvey – Zombie Apocalypse in a Mathematical Biology Course
19 Jan 2018  Presentations  Contributor(s): Christina Alvey
Zombie Apocalypse in a Mathematical Biology Course By Christina Alvey, Mount Saint Mary College. A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January...

Ted Theodosopoulos  Modeling Challenges for a High School Course on Differential Equations
19 Jan 2018  Presentations  Contributor(s): Ted Theodosopoulos
Modeling Challenges for a High School Course on Differential EquationsBy Ted Theodosopoulos, The Nueva School.A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA,...

Chris McCarthy  Modeling with Differential Equations: Student Projects and Research Opportunities
19 Jan 2018  Presentations  Contributor(s): Chris McCarthy
Modeling with Differential Equations: Student Projects and Research Opportunities By Chris McCarthy, Borough of Manhattan Community CollegeA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint...

Wandi Ding  Experience and Lessons Learned from Using SIMIODE Modeling Scenarios
19 Jan 2018  Presentations  Contributor(s): Wandi Ding
Experience and Lessons Learned from Using SIMIODE Modeling ScenariosBy Wandi Ding, Ryan Florida, Jeffrey Summers, Puran Nepal, Middle Tennesse State UniversityA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at...

Bill Skerbitz  The Logic of Logistics
19 Jan 2018  Presentations  Contributor(s): Bill Skerbitz
The Logic of LogisticsBy Bill Skerbitz, Wayzata High SchoolA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January 2018

Bauer and Sullivan  Brewing the Perfect Cup of Tea with Differential Equations
18 Jan 2018  Presentations  Contributor(s): Eric Sullivan, Jesica A Bauer
Brewing the Perfect Cup of Tea with Differential EquationsBy Jesica Bauer and Eric Sullivan, Carroll CollegeA talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913...