
1119SDairyFarming
20 Sep 2020  Modeling Scenarios
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.

1119SDairyFarming
20 Sep 2020  Modeling Scenarios  Contributor(s): Jessica Libertini
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.

1096SOpAmpDifferentiator
09 Aug 2020  Modeling Scenarios  Contributor(s): Jessica Libertini
In this validationoriented setup, the output waveform (function) of a operational amplifier type of differentiator circuit is determined analytically from the first order governing ordinary differential equation and the results are compared with the data acquired from analyzing the numerical...

1088SRoomTemperature
15 Jun 2020  Modeling Scenarios  Contributor(s): Jessica Libertini
Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

1136SMarriageAge
11 Jun 2020  Modeling Scenarios  Contributor(s): Jessica Libertini
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are firstorder ordinary differential equations (which...

1136SMarriageAge
11 Jun 2020  Modeling Scenarios
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are firstorder ordinary differential equations (which...

1128SRocketFlight
04 Jun 2020  Modeling Scenarios  Contributor(s): Jessica Libertini
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.

1124SWorldPopulation
30 May 2020  Modeling Scenarios  Contributor(s): Jessica Libertini
We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be xySTitleStudentVersionCzech.

6045SCholeraTranmission
19 Apr 2020  Modeling Scenarios
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

6045SCholeraTranmission
19 Apr 2020  Modeling Scenarios
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

Transient and Steady State response in RC or RL circuits
16 Apr 2020  Presentations  Contributor(s): Jessica Libertini
Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

2014WronaEtAlTwocompartmentModelAsTeachingToolForCholesterolHomeostasis
06 Apr 2020  Potential Scenario Ideas
2014WronaEtAlTwocompartmentModelAsTeachingToolForCholesterolHomeostasisWrona, Artur, Joanna Balbus, Olga Hrydziuszko, and Krystian Kubica. 2015. How We Teach: Classroom And Laboratory Research Projects  Twocompartment model as a teaching tool for cholesterol homeostasis. Adv...

2013DontwiEtAlModelingMemorizationAndForgetfulnessUsingDE
05 Apr 2020  Potential Scenario Ideas
2013DontwiEtAlModelingMemorizationAndForgetfulnessUsingDEDontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11. Available from...

2012ObenbDentehEtAlModelingStudentAffinityForLecture
05 Apr 2020  Potential Scenario Ideas
2012ObenbDentehEtAlModelingStudentAffinityForLectureObengDenteh1, W., Odum KoduaNana1, S. Owusu Ansah1, R. Kwame Ansah1 and Alex Quashie Nyamadu. 2012. Modelling Students’ Affinity for Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University...

1999McCartneyCareyModelingTrafficFlow
05 Apr 2020  Potential Scenario Ideas  Contributor(s): Jessica Libertini
1999McCartneyCareyModelingTrafficFlowMcCartney, Mark and Malachy Carey. 1999. Modelling Traffic Flow: Solving and Interpreting Differential Equations. Teaching Mathematics and its Applications: An International Journal of the IMA. 18(3):...

2011YafiaDEModelingMalignantTumorCellsInCompetitionWithImmuneSystem
04 Apr 2020  Potential Scenario Ideas
2011YafiaDEModelingMalignantTumorCellsInCompetitionWithImmuneSystemYAFIA, RADOUANE. 2011. A STUDY OF DIFFERENTIAL EQUATION MODELING MALIGNANT TUMOR CELLS IN COMPETITION WITH IMMUNE SYSTEM. International Journal of Biomathematics. 4(2): 185206Abstract: In this...

2019KossSIR Models_ Differential Equations that Support the Common Good
02 Apr 2020  Potential Scenario Ideas
2019KossSIR Models_ Differential Equations that Support the Common GoodKoss, Lorelei. 2019. SIR Models: Differential Equations that Support the Common Good. CODEE Journal. 12 (2019): Article 6. https://scholarship.claremont.edu/codee/vol12/iss1/6/ .12 pages.Abstract: This...

2016BarbarossaKuttlerMathModelOfBacteriaCommunication
01 Apr 2020  Potential Scenario Ideas
2016BarbarossaKuttlerMathModelOfBacteriaCommunicationBarbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 117.Abstract: Quorum sensing is a bacterial celltocell communication mechanism...

2018BrinksIllnessDeathModelInChronicDiseaseEpidemiology
29 Mar 2020  Potential Scenario Ideas
2018BrinksIllnessDeathModelInChronicDiseaseEpidemiologyBrinks, Ralph. 2018. IllnessDeath Model in Chronic Disease Epidemiology:Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018,...

2013PescitelliLotkaVolterraPredatorPreyWithPredatingScavenger
29 Mar 2020  Potential Scenario Ideas
2013PescitelliLotkaVolterraPredatorPreyWithPredatingScavengerPescitelli, Monica. 2013. Lotka Volterra PredatorPrey Model with a PredatingAbstract: The classic Lotka Volterra equations are used to model the population dynamicsbetween two species: a predator and its prey....