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  1. 3-105-S-FrequencyResponse

    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.

  2. 3-027-S-BobbingDropping

    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.

  3. 1-088-S-RoomTemperature

    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...

  4. 1-136-S-MarriageAge

    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 first-order ordinary differential equations (which...

  5. 1-128-S-RocketFlight

    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.

  6. 1-124-S-WorldPopulation

    30 May 2020 | Modeling Scenarios

    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 x-y-S-Title-StudentVersion-Czech.

  7. 1-124-S-WorldPopulation

    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 x-y-S-Title-StudentVersion-Czech.

  8. 3-026-S-SpringInverseProblem

    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. 5-010-S-DNADegradation

    21 Apr 2020 | Modeling Scenarios

    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

  10. 6-045-S-CholeraTranmission

    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. Transient and Steady State response in RC or RL circuits

    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...

  12. 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...

  13. 2014-WronaEtAl-Two-compartmentModelAsTeachingToolForCholesterolHomeostasis

    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. 2013-DontwiEtAl-ModelingMemorizationAndForgetfulnessUsingDE

    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. 2012-Obenb-DentehEtAl-ModelingStudentAffinityForLecture

    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. 1999-McCartneyCarey-ModelingTrafficFlow

    05 Apr 2020 | Potential Scenario Ideas | Contributor(s): Jessica Libertini

    1999-McCartneyCarey-ModelingTrafficFlowMcCartney, 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):...

  17. 2011-Yafia-DEModelingMalignantTumorCellsInCompetitionWithImmuneSystem

    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...

  18. 2019-Koss-SIR Models_ Differential Equations that Support the Common Good

    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...

  19. 2016-BarbarossaKuttler-MathModelOfBacteriaCommunication

    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...

  20. 2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma Effects

    01 Apr 2020 | Potential Scenario Ideas

    2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma EffectsJoseph ,G Arul J. and S Balamuralitharan. 2018. A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM.  IOP Conf. Series: Journal of Physics: Conf. Series. 1000:...

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