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  1. Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs

    16 Jun 2020 | Contributor(s): Karen Bliss

    We place here all the materials in support of the SIMIODE Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs. This  Module is about second order, linear, ordinary differential equations.The class lesson starts with building a model of a spring-mass using...

  2. 1-088-S-RoomTemperature

    15 Jun 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    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...

  3. Remote Teaching Module - Modeling the Spread of Oil Slick

    10 Jun 2020 | General Resources | Contributor(s): Karen Bliss

    We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling the Spread of Oil Slick.This module contains1)  (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...

  4. 3-031-S-SpringCost

    28 May 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

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

  5. 5-010-S-DNADegradation

    21 Apr 2020 | Modeling Scenarios | Contributor(s): Karen Bliss

    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...

  6. 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...

  7. 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...

  8. 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...

  9. 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...

  10. 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...

  11. 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...

  12. 2009-NoakeSleigh-AirflowInfectionHospitalWards

    29 Mar 2020 | Potential Scenario Ideas | Contributor(s): Karen Bliss

    2009-NoakeSleigh-AirflowInfectionHospitalWardsNoakes, Catherine J. and P. Andrew Sleigh. 2009. Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards. J. R. Soc. Interface. 6: S791-S-800.Abstract: Understanding the risk of...

  13. 2017-GuptaKumar-GlucoseMetabolism

    27 Mar 2020 | Potential Scenario Ideas

    2017-GuptaKumar-GlucoseMetabolismGupta, Richa  and Deepak Kumar. 2017.  Numerical Model for Glucose Metabolism for Various Types of Food and Effect of Physical Activities on Type 1 Diabetic Patient. Applied Mathematics. 7(2): 19-22Abstract: This work displays a...

  14. 2013-Sutton-SecondOrderLinearODE's-PartII

    27 Mar 2020 | Presentations

    2013-Sutton-SecondOrderLinearODE's-PartIIPresentation by Craig J. Sutton, Department of Mathematics, Dartmouth CollegeMath 23 Differential Equations. 2013. 45 slidesCovers basics or undetermined coefficiens and variation of parameters with applications to mechanicl vibrations

  15. 2018-Baxter-Modeling Public Opinion

    26 Mar 2020 | Potential Scenario Ideas

    2018-Baxter-Modeling Public OpinionBaxter, Arden. 2018.  Modeling Public Opinion. Rollins College.1 IntroductionPopulation models are used to study the dynamics of a population. In particular, dynamic population models are applied to populations that gain and lose...

  16. 2019-EkiciPlyley-Inquiry-BasedModelingPopulationLogisticDE

    23 Mar 2020 | Potential Scenario Ideas

    2019-EkiciPlyley-Inquiry-BasedModelingPopulationLogisticDEEkici, Celil  and Chris Plyley. 2019. Inquiry-Based Modeling of Population Dynamics With Logistic Differential and Difference Equations. PRIMUS. 29(6): 553-570.Freely available at the Mathematical Association of America...

  17. 2018-Sonntag_LectureNotes-MathSystemsBiology

    22 Mar 2020 | Potential Scenario Ideas

    2018-Sonntag_LectureNotes-MathSystemsBiologySontag, Eduardo D. 2018. Lecture Notes on Mathematical Systems Biology.  305 pp. http://www.sontaglab.org/publications.html. Accessed 20 March 2020.The first version of these notes dates back to 2005. They were originally heavily...

  18. 2011-CasaXPS-Mechanics ApplicationsDEs

    20 Mar 2020 | Potential Scenario Ideas

    2011-CasaXPS-Mechanics ApplicationsDEsCasaXPS. 2011 Variable Forces and Differential Equations. www.casaxps.com.     Table of ContentsVariable Forces and Differential Equations  2Differential Equations  3Second Order Linear Differential...

  19. 2017-Goulet-Parameter Estimation in Chemical Kinetics

    20 Mar 2020 | Potential Scenario Ideas

    2017-Goulet-Parameter Estimation in Chemical KineticsGoulet, D. 2017. Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments. SIAM REVIEW. 58(2): 331–353.Abstract. In many chemical and biological applications, systems of differential equations containing...

  20. 2016-Rodriguez-ApplicationOfSIRModel

    20 Mar 2020 | Potential Scenario Ideas

    2016-Rodriguez-ApplicationOfSIRModelRodrigues, Helena Sofia. 2016. Application of SIR epidemiological model: newtrends. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND INFORMATICS. 10: 92-97. 2016Abstract: The simplest epidemiologic model composed by mutually exclusive compartments SIR...

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