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1. 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.

2. 22 Jul 2020 | Modeling Scenarios

We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

3. 14 Jul 2020 | Modeling Scenarios

In this modeling activity, students examine the spring-mass-dashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...

4. 14 Jul 2020 | Modeling Scenarios

In this modeling activity, students examine the spring-mass-dashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is...

5. 14 Jul 2020 | Modeling Scenarios

We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.

6. 10 Jul 2020 | Modeling Scenarios

We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

7. 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 first-order ordinary differential equations (which...

8. 29 May 2020 | Modeling Scenarios

We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

9. 28 May 2020 | Modeling Scenarios

This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

10. 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...

11. 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...

12. 16 Apr 2020 | Presentations

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...

13. 06 Apr 2020 | Potential Scenario Ideas

2014-WronaEtAl-Two-compartmentModelAsTeachingToolForCholesterolHomeostasisWrona, Artur, Joanna Balbus,  Olga Hrydziuszko,  and Krystian Kubica. 2015. How We Teach: Classroom And Laboratory Research Projects -- Two-compartment model as a teaching tool for cholesterol homeostasis. Adv...

14. 05 Apr 2020 | Potential Scenario Ideas

2013-DontwiEtAl-ModelingMemorizationAndForgetfulnessUsingDEDontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11. Available from...

15. 05 Apr 2020 | Potential Scenario Ideas

2012-Obenb-DentehEtAl-ModelingStudentAffinityForLectureObeng-Denteh1, W., Odum Kodua-Nana1, 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...

16. 04 Apr 2020 | Potential Scenario Ideas

2011-Yafia-DEModelingMalignantTumorCellsInCompetitionWithImmuneSystemYAFIA, RADOUANE. 2011. A STUDY OF DIFFERENTIAL EQUATION MODELING MALIGNANT TUMOR CELLS IN COMPETITION WITH IMMUNE SYSTEM. International Journal of Biomathematics. 4(2):  185-206Abstract: In this...

17. 02 Apr 2020 | Potential Scenario Ideas

2019-Koss-SIR 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...

18. 01 Apr 2020 | Potential Scenario Ideas

2016-BarbarossaKuttler-MathModelOfBacteriaCommunicationBarbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 1-17.Abstract: Quorum sensing is a bacterial cell-to-cell communication mechanism...

19. 29 Mar 2020 | Potential Scenario Ideas

2018-Brinks-IllnessDeathModelInChronicDiseaseEpidemiologyBrinks, Ralph. 2018. Illness-Death Model in Chronic Disease Epidemiology:Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018,...

20. 29 Mar 2020 | Potential Scenario Ideas

2013-Pescitelli-LotkaVolterraPredator-Prey-WithPredatingScavengerPescitelli, Monica. 2013. Lotka Volterra Predator-Prey Model with a PredatingAbstract: The classic Lotka Volterra equations are used to model the population dynamicsbetween two species: a predator and its prey....