Tags: phase

All Categories (1-20 of 20)

  1. 1-100-S-EngineeringDemographics

    20 Aug 2021 | | Contributor(s):: Brody Dylan Johnson, Elodie Pozzi

    The goal of this activity is to show students how population models can be used to examine social issues. The students will examine three different population models and will use numerical methods to apply each model to demographic data for the percentage of engineering degrees awarded to women...

  2. 1-114-S-EarthClimate

    09 Dec 2019 | | Contributor(s):: Terrance Pendleton

    In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth from solar radiation, emission of radiation to outer space, and Earth's...

  3. 1-134-S-LanguageDynamics

    08 Aug 2021 | | Contributor(s):: Jennifer Crodelle

    Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another. By answering a list of questions, students will explore how changing the status of a language will alter the...

  4. 1-137-S-SheepGraze

    03 Mar 2021 | | Contributor(s):: Mary Vanderschoot

    One of the most well-known mathematical models in ecology is the Lotka-Volterra predator-prey system of differential equations. Initially, this model was used to analyze interactions between two animal populations. But ecologists discovered that it could also be applied to plant (`prey') and...

  5. 1-139-S-PlantsVsHerbivores

    08 Mar 2021 | | Contributor(s):: Mary Vanderschoot

    In a recent study of plants and herbivores on an island in the North Sea, ecologists made a surprising observation: Instead of more vegetation resulting in more grazers, more vegetation resulted in fewer grazers. Consequently, the ecologists hypothesized that, as the vegetation grew more dense,...

  6. 1-142-S-WaterBottles

    22 Aug 2021 | | Contributor(s):: Brody Dylan Johnson, Elodie Pozzi

    This project involves the application of Newton's law of cooling to the study of insulated water bottles. Students have the option to conduct experiments with their own bottles outside of class or use data included in the student version. The modeling scenario leads the students through an...

  7. 2002-Fay, T. - The Pendulum Equation. 

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

    Fay, T. 2001.The Pendulum Equation.  Int. J. Math. Educ. Sci. Technology.  33(4): 505-519.See https://www.tandfonline.com/doi/abs/10.1080/00207390210130868. Abstract:We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for...

  8. 2003-Fay, T.H. and S. D. Graham - Coupled spring equations. 

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

    Fay, T.H. and S. D. Graham. 2003. Coupled spring equations.  Int.J. Math. Educ. Sci. Technol. 34(1): 65-79.  See https://www.tandfonline.com/doi/abs/10.1080/0020739021000029258 . ABSTRACT Coupled spring equations for modelling the motion of two springs with...

  9. 2004-Jones, M. and D. Thomas - Controlling wound healing through debridement.  Preprint.

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

    Jones, M. and D. Thomas. Controlling wound healing through debridement.  Preprint.See https://digitalcommons.montclair.edu/appliedmath-stats-facpubs/33/. Abstract. The formation of slough (dead tissue) on a wound is widely accepted as an inhibitor to natural wound healing....

  10. 2011-Pulley, Lucas C. - Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations.

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

    Pulley, Lucas C. 2011. Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations.  Southern Illinois Universitiy, Honors Theses. Paper 344.See https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1349&context=uhp_theses .Abstract: The main...

  11. 2012-Levermore. David - First-Order Ordinary Differential Equations II:  Graphical Methods and Applications

    01 Dec 2017 | | Contributor(s):: Brian Winkel

    Levermore. David. 21012. First-Order Ordinary Differential Equations II:  Graphical Methods and Applications. University of Maryland. Notes. 23 pp.5. First-Order Equations: General Theory5.1. Well-Posed Problems 25.2. Existence and Uniqueness 36. First-Order Equations:...

  12. 2017-Peletier, L. A. - Ordinary Differential Equations in Pharmacodynamics. Notes.

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

    Peletier, L. A. 2018   Ordinary Differential Equations in Pharmacodynamics. Notes. 23 pp.See http://www.math.leidenuniv.nl/~peletier/azcourse04.pdf . Accessed 8 September 2017.Good mix of theory, application, solution technique in a number of areas of applications of...

  13. 2018-Schneebeli, Hans R. - Population Modeling

    01 Mar 2018 | | Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan

    This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in...

  14. 2018-Schneebeli, Hans Rudolf and Claudio Marsan - Two competing populations: simulations with differential equations

    01 Mar 2018 | | Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan

    Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the...

  15. 2020-Harwood, Corban - Remote Teaching Module: Introduction to Modeling

    28 Jul 2020 | | Contributor(s):: Corban Harwood

    We place here and in the Supporting Documents all the materials in support of the SIMIODE Remote Teaching Module.Introduction to ModelingThis Remote Teaching Module introduces modeling with first order differential equations and motivates students to fully engage in the solution and...

  16. 2020-Winkel, Brian - Remote Teaching Module - Modeling the Spread of Oil Slick

    10 Jun 2020 | | Contributor(s):: Brian Winkel

    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...

  17. 3-004-S-VanderPol

    21 Mar 2017 | | Contributor(s):: Mark A. Lau Kwan

    This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation. The spreadsheet features a number of dynamic controls that permit the user to alter the parameters of the Van der Pol equation and explore the...

  18. 5-002-S-PhasePortraitForRelationshipDynamics

    15 Aug 2019 | | Contributor(s):: Lawrence C Udeigwe

    The different possible dynamics of a two-person romantic relationship are modeled -- as a linear two dimensional system of equations -- and analyzed. Students are guided to explore how the mathematical model of one relationship type can be obtained by modifying the mathematical model of another....

  19. 7-020-S-ThermometerInVaryingTempStream

    22 Aug 2018 | | Contributor(s):: Norman Loney

    We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

  20. SIMIODE EXPO 2021 - (B5-R3) - Using Mobile Apps to Enhance Learning in Differential Equations

    28 Feb 2021 | | Contributor(s):: Tim Lucas

    SIMIODE EXPO 2021 - B5-R3 - Technology use - depth, use, type,  in discovery, in analysis - Track 1Using Mobile Apps to Enhance Learning in Differential EquationsTim Lucas, Pepperdine University, Malibu CA USAThis was a presentation made at the SIMIODE EXPO 2021  - see...