Tags: data

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  1. 1-107-S-ClothDry

    27 Apr 2019 | | Contributor(s):: Brian Winkel

    We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...

  2. 1-053-S-SlimeSpread

    30 Aug 2018 | | Contributor(s):: Brian Winkel

    We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.

  3. 1-054-S-GrowthInFarmland

    14 Aug 2018 | | Contributor(s):: Richard Spindler

    An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...

  4. 1984-Hays-CompartmentModelsForHumanIodineMetabolism

    07 Mar 2018 | | Contributor(s):: Marguerite Hays

    Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical  Biosciences. 73: 317-335.ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review...

  5. Corban Harwood - Managing Project Logistics in Teaching Differential Equations

    19 Jan 2018 | | Contributor(s):: Richard Corban Harwood

    Managing Project Logistics in Teaching Differential EquationsByCorban Harwood -, George Fox University.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13 January 2018.

  6. Bauer and Sullivan - Brewing the Perfect Cup of Tea with Differential Equations

    18 Jan 2018 | | Contributor(s):: Eric Sullivan, Jesica A Bauer

    Brewing the Perfect Cup of Tea with Differential EquationsBy Jesica Bauer and Eric Sullivan, Carroll CollegeA talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13...

  7. 2014-Easton-MathModelsOfHealthFocusingOnDiabetes-DelayDEAndDataMining

    28 Nov 2017 | | Contributor(s):: Brian Winkel

    Easton, Jonathan. 2015.  Mathematical models of health focusing on diabetes: Delay differential equations and data mining . PhD Thesis.  Northumbria University Newcastle. http://nrl.northumbria.ac.uk/23582/. Accessed 27 November 2017.Abstract: Mathematical models have been applied to...

  8. 2000-deOliveraEtAl-PinholeWaterFlowFromCylindricalBottles

    26 Nov 2017 | | Contributor(s):: Brian Winkel

    2000. deOlivera, Paulo Murilo Castro, Antonio Delfino, Eden Vieira Costa and Carlos Alberto Faria Leite.  Pinhole Water Flow From Cylindrical Bottles. Phys.Educ. 35(2): 110-119.From the opening of the article,  "We performed an experiment on elementary hydrodynamics. The...

  9. 2012-Urbano-The Draining of a Plastic Bottle

    09 Oct 2017 | | Contributor(s):: Brian Winkel

    2012-Urbano, Lensyl. The Draining of a Plastic Bottle: Integrating a Physics Experiment into Calculus.  Montessori Muddle. http://montessorimuddle.org/2012/05/01/the-draining-of-a-jug-integrating-a-physics-experiment-into-calculus/ . Accessed 9 October 2017.Abstract: I punched a small hole...

  10. 1971-BoyesEtal-Lidocaine In Man

    09 Oct 2017 | | Contributor(s):: Brian Winkel

    Boyes, R. N., D. B. Scott, P. J. Jebson, M. J. Godman, and D. G. Julian, M.D. 1971. Lidocaine in Man.  Clinical Pharmacology and Therapeutics. 12(1): 105-116.Abstract: Plasma levels of lidocaine were measured in 5 normal male volunteers following both intravenous and oral administration of...

  11. 2000-deOliveiraEtAl- Pin-hole water flow from cylindrical bottles

    09 Oct 2017 | | Contributor(s):: Brian Winkel

    de Oliveira, Paulo Murilo Castro , Antonio Delfino, Eden Vieira Costa and Carlos Alberto Faria Leite. 2000Pin-hole water flow from cylindrical bottles.  Phys. Educ. 35(2): March.  110-119. From the article, “We performed an experiment on elementary hydrodynamics. The basic...

  12. Experiences with Teaching Differential Equations in Context Using Modeling

    25 Sep 2017 | | Contributor(s):: Brian Winkel

    Brian Winkel, Director SIMIODE, gave a talk at Department of Mathematics, Seminar, at Clarkson University, Potsdam NY USA on 28 September 2017.Title: Experiences with Teaching Differential Equations in Context Using ModelingAbstract: We share experiences and examples of using modeling to...

  13. Dabbling in Differential Equation Modeling

    25 Sep 2017 | | Contributor(s):: Brian Winkel

    Brian Winkel, Director of SIMIODE, spoke on 27 September 2017 at a Noon gathering at the SUNY Potsdam School of Education and Professional Studies, Disciplined Inquiry in Education Seminar Series, organized by Dr. Sergei Abramovich School of Educaiton, SUNY Potsdam NY USA.Title: ...

  14. Ramsay-From Data To Differential Equations

    23 Sep 2017 | | Contributor(s):: Brian Winkel

    Ramsay, Jim.  From Data To Differential Equations. Presentation. 52 slides.Themes:Differential equations are powerful tools for modeling data.There are new methods for estimating differential equations directly from data.Some examples are offered, drawn from chemical engineering and...

  15. 2009-Wilson-Differential Equation Models for Forecasting Highway Traffic Flow

    23 Sep 2017 | | Contributor(s):: Brian Winkel

    Wilson, R. Eddie. 2009. Differential Equation Models for Forecasting Highway Traffic FlowPresentation at Conference on Traffic Modelling. The Open University, Milton Keynes, UK. 31 March. 32 slides. This talk builds the mathematical model for traffic flow and addresses the issues of...

  16. 2015-Enderling-Integrating experimental data to calibrate quantitative cancer models

    23 Sep 2017 | | Contributor(s):: Brian Winkel

    Enderling, Heiko. 2015. Integrating experimental data to calibrate quantitative cancer models . Preprint.  3 pp.Abstract:  For quantitative cancer models to be meaningful and interpretable the number of unknown parameters must be kept minimal. Experimental data can be utilized to...

  17. Wu-Mathematical Biology Models Using Experimental Data

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Wu, Hulin.  Development of Mathematical Biology Models by Rigorously Using Experimental Data: Statistical Inverse Problems for Differential Equation Models. PowerPoint. 47 slides._ Inverse Problems and Methods for ODE Models_ Application Examples– Example 1: A Complex Influenza...

  18. 2011-WentworthEtAl-Optimal harvesting models for fishery populations

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Wentworth, Corinne, Masami Fujiwara, and Jay Walton. 2011.  Optimal harvesting models for fishery populations. REU paper.  17 pp.Abstract. Fishery management is the consideration of the ecological effects of harvesting. Fisherman work to provide fish for a growing human population but...

  19. 2001-KerleyKnisley-Using data to motivate models in differential equations

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Knisley, Jeff and Lyndell Kerley. 2001.  Using data to motivate the models used in introductory differential equations. PRIMUS. 11(20): 111-123.Abstract: Although data is often used to estimate parameters for models in calculus and differential equations, the models themselves are seldom...

  20. 2013-Greer-Modeling Cyanobacteria in Lake Ecosystems

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Greer, Meredith L., Holly A. Ewing, Kathryn L. Cottingham, and Kathleen C. Weathers. 2013.  Source: Collaborative Understanding of Cyanobacteria in Lake Ecosystems. The College Mathematics Journal.  44(5): 376-385.Understanding the system is central to mathematical modeling. What...