
3099SPullBack
03 Aug 2021   Contributor(s):: Brody Dylan Johnson
This handson modeling scenario guides students through the development of an empirical model for the velocity and distance traveled of a simple pullback toy. Students can record videos and extract data using their own pullback toy or use data included in the student version. Two different...

Paula Grafton Young
Professor of MathematicsChair, Department of Mathematics and Computer ScienceDirector, Center for Teaching Excellence and InnovationSalem College
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2018Hu, Yueqin and Yunhui Huang  Dynamic Regulation Responding to an External Stimulus: A Differential Equation Model.
04 Apr 2020   Contributor(s):: Brian Winkel
Hu, Yueqin and Yunhui Huang. 2018. Dynamic Regulation Responding to an External Stimulus: A Differential Equation Model. Multivariate Behav Res. 53(6): 925939.See https://pubmed.ncbi.nlm.nih.gov/30456992/ .Abstract: This study examines the dynamic regulation...

2016Barbarossa, Maria Vittoria and Christina Kuttler  Mathematical Modeling of Bacteria Communication in Continuous Cultures.
01 Apr 2020   Contributor(s):: Brian Winkel
Barbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 117.See https://www.researchgate.net/publication/303246621_Mathematical_Modeling_of_Bacteria_Communication_in_Continuous_Cultures...

2007Ramsay, J. O., G. Hooker, D. Campbell and J. Cao  Parameter estimation for differential equations: a generalized smoothing approach.
01 Apr 2020   Contributor(s):: Brian Winkel
Ramsay, J. O., G. Hooker, D. Campbell and J. Cao. 2007. Parameter estimation for differential equations: a generalized smoothing approach. J. R. Statist. Soc. B. 69(5): 741–796.See https://ideas.repec.org/a/bla/jorssb/v69y2007i5p741796.html . Summary: We...

2011KochNoble, G. A.  Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling
29 Mar 2020   Contributor(s):: Brian Winkel
KochNoble, G. A. 2011. Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling. Math. Model. Nat. Phenom. 6(6): 227244.See https://www.mmnpjournal.org/articles/mmnp/pdf/2011/06/mmnp201166p227.pdf . Abstract: Pharmacokinetics is an excellent way to...

2014GonzalezParra, Gilberto and Abraham J. Arenas  A Mathematical Model for Social Security Systems with Dynamical Systems.
26 Mar 2020   Contributor(s):: Brian Winkel
GonzalezParra, Gilberto and Abraham J. Arenas. 2014. A Mathematical Model for Social Security Systems with Dynamical Systems. Ingeniería y Ciencia. 10(19):...

2018Gavin, Henri P. 2018. Dynamics of Simple Oscillators (single degree of freedom systems)
24 Mar 2020   Contributor(s):: Brian Winkel
Gavin, Henri P. 2018. Dynamics of Simple Oscillators (single degree of freedom systems). Department of Civil and Environmental EngineeringDuke University. Notes. 39 pp.IntroductionThis document describes free and forced dynamic responses of simple oscillators (sometimes...

2009Haran, Murali  An introduction to models for disease dynamics. Presentation
20 Mar 2020   Contributor(s):: Brian Winkel
Haran, Murali. 2009. An introduction to models for disease dynamics. Presentation. 68 slides. Opening slides: Useful to model and understand disease dynamics because: Important for basic science as well as public policy. Models for infectious diseases are...

2016Moura, Scott  Chapter 1: Modeling ad Systems Analysis. Class Notes for CE 295
20 Mar 2020   Contributor(s):: Brian Winkel
Moura, Scott. 2016. Chapter 1: Modeling ad Systems Analysis. Class Notes for CE 295 — Energy Systems and Control, University of California, Berkeley. 20 pp.Overview: The fundamental step in performing systems analysis and control design in energy systems is mathematical...

2008San Andrés, Luis  Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
16 Mar 2020   Contributor(s):: Brian Winkel
San Andrés, Luis. 2008. Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces. MEEN 617 NotesPresentation. 39 pp.See https://oaktrust.library.tamu.edu/handle/1969.1/93269 .Walk through the cases in context of second order linear constant...

2019Fan, Xinghua, Xuxia Li, and Jiuli Yin  Impact of environmental tax on green development: A nonlinear dynamical system analysis.
13 Mar 2020   Contributor(s):: Brian Winkel
Fan, Xinghua, Xuxia Li, and Jiuli Yin. 2019. Impact of environmental tax on green development: A nonlinear dynamical system analysis. PLos One. 14(9): e0221264.See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6726139/ .Abstract: With green development...

2013GonzalezParra, Gilberto and Abraham J. Arenas  A Mathematical Model for Social Security Systems with Dynamical Systems.
09 Dec 2018   Contributor(s):: Brian Winkel
GonzalezParra, Gilberto and Abraham J. Arenas. 2014. A Mathematical Model for Social Security Systems with Dynamical Systems. Ingeniería y Ciencia. 10(19):...

6065SInternetPlatformUsers
30 Oct 2018   Contributor(s):: Victoria Rayskin
A model estimating the volume of users interacting through a twosided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2dimensional dynamical system. The model will illustrate how the question of existence of closed orbits can be investigated....

Caleb Monoran
I am an undergraduate at Idaho State University seeking to obtain a dual major degree in Mathematics and Physics. I've had a strong passion for mathematics since my 8th grade, when I first...
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Mohammed K A Kaabar
Mohammed Kaabar received all his undergraduate and graduate degrees in Mathematics from Washington State University (WSU), Pullman, WA, USA. He is a former lab instructor and math tutor at the Math...
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David Jaures Jaures FOTSA FOTSA MBOGNE
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1994Blanchard, Paul  Teaching Differential Equations With a Dynamical Systems Viewpoint. Notes.
09 Sep 2017   Contributor(s):: Brian Winkel
Blanchard, Paul. 1993. Teaching Differential Equations With a Dynamical Systems Viewpoint. Notes. 11 pp.See https://www.tandfonline.com/doi/abs/10.1080/07468342.1994.11973642 . This is an early discourse on the dynamical system view point of teaching differential equations with...

2014Allen, Robert F., Cassandra Jens, and Theodore J. Wendt  Perturbations in Epidemiological Models: When zombies attack, we can survive!
09 Sep 2017   Contributor(s):: Brian Winkel
Allen, Robert F., Cassandra Jens, and Theodore J. Wendt. 2014. Perturbations in Epidemiological Models: When zombies attack, we can survive! Letters in Biomathematics. 1(2): 173180.See...

2011Koch, Gretchen A.  Mathematical Modelling of Natural Phenomena Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling
09 Sep 2017   Contributor(s):: Brian Winkel
Koch, Gretchen A. 2011. Mathematical Modelling of Natural Phenomena Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling . Preprint of article to appear in Mathematical Modelling of Natural Phenomena. 6(6):...