
6070TBeerBubbles
24 Apr 2018  Modeling Scenarios  Contributor(s): Michael Karls
The goal of this project is to set up and numerically solve a firstorder nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top. The system solution is then used to verify...

6070SBeerBubbles
24 Apr 2018  Modeling Scenarios  Contributor(s): Michael Karls
The goal of this project is to set up and numerically solve a firstorder nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top. The system solution is then used to verify...

SCUDEM II 2018 MathBowl Questions, Hints, Answers, and Score Sheets
22 Apr 2018  CompetitionsSCUDEM  Contributor(s): Brian Winkel
Here are the SCUDEM II 2018 MathBowl questions, hints, answers, and score sheets. For registered SIMIODE members in the Teachers Group, we post MathBowl answers with a MathBowl version with questions followed by answers to use in review after any competititve use. We include...

Scoring Rubric for SCUDEM 2018
18 Apr 2018  CompetitionsSCUDEM  Contributor(s): Brian Winkel
Here is the Scoring Rubric for the SCUDEM 2018 effort. This will be used for both Exeuctive Summary judging by coach/faculty only and for the Presentation judging by students and coach/faculty.This should give you some guidance on what you should convey in your final materials.

1105SAnimalFall
15 Apr 2018  Modeling Scenarios  Contributor(s): Brian Winkel
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

1105TAnimalFall
15 Apr 2018  Modeling Scenarios  Contributor(s): Brian Winkel
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.

3095SShotInWater
05 Apr 2018  Modeling Scenarios  Contributor(s): Kurt Bryan
This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene: Do bullets moving through water slow as dramatically as depicted in the movies, so that someone a few...

3095TShotInWater
05 Apr 2018  Modeling Scenarios  Contributor(s): Kurt Bryan
This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene: Do bullets moving through water slow as dramatically as depicted in the movies, so that someone a few...

1055TWaterFallingInCone
16 Mar 2018  Modeling Scenarios  Contributor(s): Brian Winkel
We offer an opportunity to model the height of a falling body of water in a right circular cone (funnel) and to estimate an appropriate parameter based on data collected from a video of the experiment found on YouTube. This is an application of Torricelli's Law.

1984HaysCompartmentModelsForHumanIodineMetabolism
07 Mar 2018  Potential Scenario Ideas  Contributor(s): Marguerite Hays
Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical Biosciences. 73: 317335.ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review...

2017Agmour EtAlOptimizationofFishermenProfitsExploitingCompetingSpecies
07 Mar 2018  Potential Scenario Ideas  Contributor(s): Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni
Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...

2017AllaliMathModelingOfAdaptiveImmunieResponsesHBVInfection
07 Mar 2018  Potential Scenario Ideas  Contributor(s): Karam Allali, Adil Meskaf, Abdessamad Tridane
Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13 pagesThis is an open access article distributed under the...

2017SuebcharoenPredatorPreyModelWithSwitchingForPredator
07 Mar 2018  Potential Scenario Ideas  Contributor(s): T. Suebchareon
Suebcharoen, T. 2017. Analysis of a PredatorPrey Model with Switching and StageStructure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11 pages.This is an open access article distributed under the Creative Commons Attribution License, which...

2017RumbosDifferentialEquaitonsANDModelingLectureNotes
03 Mar 2018  Potential Scenario Ideas  Contributor(s): Adolfo J. Rumbos
Rumbos, Adolfo J. 2017. Differential Equations and modeling. Lecture Notes. 129 pp.From the PrefaceDifferential equations are ubiquitous in the sciences. The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities...

FirstOrderModels
03 Mar 2018  Potential Scenario Ideas  Contributor(s): Unknown
Modeling with First Order EquationsMathematical models characterize physical systems, often using differential equations.Model Construction: Translating physical situation into mathematical terms. Clearly state physical principlesbelieved to govern process. Differential equation is a...

LeakingBucket: Differential Equations in Engineering
03 Mar 2018  Potential Scenario Ideas  Contributor(s): Unknown
Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...

2015SivakumarRajendranKineticModelBananaWaste
03 Mar 2018  Potential Scenario Ideas  Contributor(s): Pavithra Sivakumar, Lakshmanan Rajendran
Sivakumar, Pavithra and Lakshmanan Rajendran. 2012. Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste. Applied Mathematics. 5(1): 714.Abstract: The initial value problem in a kinetic model for biogas generation from...

2016CamporesiImpulsive response method using factorization.
03 Mar 2018  Potential Scenario Ideas  Contributor(s): Roberto Camporesi
Camporesi, Roberto. 2016. A fresh look at linear ordinary differential equations with constant coefficients. Revisiting theimpulsive response method using factorization. Int. J. Math. Educ. Sci. Technol. 47(1): 8299Summary: We present an approach to the impulsive response method for solving...

The Logistic Differential Equation
03 Mar 2018  Potential Scenario Ideas
The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...

Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers
03 Mar 2018  Free Online Texts  Contributor(s): Russell L. Herman
Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a selfpublished text book with excellent coverage and solid mathematics and theory to support...