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1. 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. 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. 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.

4. 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.

5. 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...

6. 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...

7. 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...

8. 01 Apr 2020 | Potential Scenario Ideas

2018-WinkleEtAl-ModelingMechanicalInteractionsInGrowingPopulationsBacteria.pdfWINKLE,JAMES J. , OLEG IGOSHIN, MATTHEW R. BENNETT, KREŠIMIR JOSIC,AND WILLIAM OTT. 2018. MODELING MECHANICAL INTERACTIONS IN GROWING POPULATIONS OF ROD-SHAPED BACTERIA. Phys. Biol. 14(5):...

9. 01 Apr 2020 | Potential Scenario Ideas

1977-Freedman-Mathematical models of population interactions with dispersal. I Stability of two habitatsFREEDMAN, H. I. AND PAUL WALTMAN, 1977. MATHEMATICAL MODELS OF POPULATION INTERACTIONS WITHDISPERSAL. I: STABILITY OF TWO HABITATS WITH AND WITHOUTA PREDATOR.  SIAM J....

10. 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:...

11. 01 Apr 2020 | Potential Scenario Ideas

2007-RamseyEtAl-ParameterEstforDE-SmoothingApproachJ. R. Statist. Soc. B (2007)69, Part 5, pp. 741–796Ramsay, J. O.. G. Hooker, D. Campbell and J. Cao. 2007. Parameter estimation for differential equations: a generalized smoothing approach. J. R. Statist. Soc....

12. 26 Mar 2020 | Potential Scenario Ideas

2015-Capaldi-SimulatingReiintroPassengerPidgeonBoggess, Erin, Jordan Collignon, and Alanna Riederer. 2015.  Mathematical Modeling in Ecology: Simulating the Reintroduction of the Extinct Passenger Pigeon (Ectopistes migratorius).Valparaiso University. Abstract: The...

13. 24 Mar 2020 | Potential Scenario Ideas

2018-Reed-Mathematical Models of Mosquito PopulationsReed, Hanna. 2018. Mathematical Models of Mosquito Populations. University of Central Florida.Honors Theses. 38 pp.ABSTRACTThe intent of this thesis is to develop ordinary differential equation models to better understandthe...

14. 22 Mar 2020 | Potential Scenario Ideas

2013-DeboeckEtAl-ReservoirModel-DEModelOfPsychRegulationDeboeck, P. R., & Bergeman, C. S. (2013). The reservoir model: A differential equation model of psychological regulation. Psychological Methods, 18(2), 237-256.Abstract: Differential equation models can be used to describe the...

15. 20 Mar 2020 | Potential Scenario Ideas

2017-Ballard-Dice Activities for DE ModelsIntroduction: This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a real-world scenario. Each can be used either...

16. 20 Mar 2020 | Potential Scenario Ideas

2017. Rosario-Mathematical-Model-for-Future-Population-Scenario-In-India-And-China-An-Econometric-ApproachRosario, G. Michael and Dr. M. James Antony. 2017. Mathematical Model for Future Population Scenario In India And China – An Econometric Approach. International...

17. 15 Mar 2020 | Potential Scenario Ideas

2013-Nelson-Population Modeling with Delay Differential EquationsNelson, Shawna. 2013 Population Modeling with Delay Differential Equations. Master of Science Thesis. Rochester Institute of Technology, Rechester NY USA.Abstract: We investigate a delay differential equation system...

18. 15 Mar 2020 | Potential Scenario Ideas

2006-Ruan-DelayDifferentialEquationsinSingleSpeciesDynamicsRuan, Shigui. 2006. DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS. In O. Arino et al. (eds.), Delay Differential Equations and Applications. Springer, Berlin, 2006, pp. 477-517.Contents1. Introduction2....

19. 13 Mar 2020 | Potential Scenario Ideas

2012-Moore-Using Projects Math And Engineering CoursesMoore, Hassan. 2012. Using projects to stimulate learning in mathematics and engineering mathematics courses. American Society of Engineering Education. 120th ASEE Annual Conference and Exposition. Paper ID #7658.Abstract: An...

20. 13 Mar 2020 | Potential Scenario Ideas

2012-Wali EtAl-MathModelUgandaPopulationGrowthWali, Augustus. 2012. Mathematical Modeling of Uganda Population Growth. Applied Mathematical Sciences. 6(84): 4155 - 4168Abstract: Uganda is a landlocked country in East Africa. It is bordered on the east by Kenya, north by Sudan,...