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  1. 2017-Ballard-Dice Activities for DE Models

    20 Mar 2020

    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...

  2. 2016-Rodriguez-ApplicationOfSIRModel

    20 Mar 2020

    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...

  3. 2016-Tanioka-ModelingEconGrowthUsingDE

    20 Mar 2020

    2016-Tanioka-ModelingEconGrowthUsingDETanioka, Chad. 2016. Modeling Economic Growth Using Differential Equations. Presentation. 28 clides1. Introduction2. Setting up the model3. Solow's fundamental differential equation4. Solving for equilibrium solutions

  4. 2016-Chern-MathModeling-ODE

    20 Mar 2020

    2016-Chern-MathModeling-ODEChern, I-Liang. 2016.  MATHEMATICAL MODELING AND ORDINARY DIFFERENTIAL EQUATIONS. Department of Mathematics, National Taiwan University. Notes. 223 pp.Table of Contents:1 First-Order Single Differential Equations 11.1 What is mathematical...

  5. 2004-Thoumasis-MathDietModel

    20 Mar 2020

    2004-Thoumasis-MathDietModelToumasis, Charalampos. 2004. A mathematical diet model.  Teaching Mathematics and Its Applications: International Journal of the IMA. 23(4) 165 - 171. Preprint offered.Abstract:Emphasis on problem solving and mathematical modeling has...

  6. 2004-Thoumasis-MathDietModel

    20 Mar 2020

    2004-Thoumasis-MathDietModelToumasis, Charalampos. 2004. A mathematical diet model.  Teaching Mathematics and Its Applications: International Journal of the IMA. 23(4) 165 - 171. Preprint offered.Abstract:Emphasis on problem solving and mathematical modeling has...

  7. 2011-Winkel-ParameterEstimation-Chemical Kinetics

    16 Mar 2020

    2011-Winkel-ParameterEstimation-Chemical KineticsWinkel, Brian. 2011. Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology. 42(1): 37-51.Abstract: We discuss the need for devoting time in...

  8. 2010-Singh-ModelingTechnologyInnovations

    16 Mar 2020

    2010-Singh-ModelingTechnologyInnovationsSingh, Amritbir and Ravi Kant Mishra. 2010. A MATHEMATICAL MODELING APPROACH TO STUDY GROWTHRATE OF GRASSROOTS TECHNOLOGICAL INNOVATIONS. IJRRAS 3(2): 177-183.Abstract: In this paper we have proposed a simple mathematical model by using...

  9. 2013-KoseKunze-ClimateModeling

    15 Mar 2020

    2013-KoseKunze-ClimateModelingKose, Emekand Jennifer Kunze. 2013. Climate Modeling in the Calculus andDifferential Equations Classroom. THE COLLEGE MATHEMATICS JOURNAL. 44(5): 424-427.Introduction:  We introduce here the basic principles of climate science for a...

  10. 2008-Chernyshov EtAl-Modeling EconomicDynamicsInDifferentialForm

    15 Mar 2020

    2008-Chernyshov EtAl-Modeling EconomicDynamicsInDifferentialFormChernyshov, S. I.. V. S. Ponomarenko, and  A. V. Voronin. 2008. The Problem of Modelling of Economic Dynamicsin Differential Form. Notes. 35 pp.Introduction:The authors have tried to analyze procedures...

  11. 2005-Breitling-ModelingBiologicalSystemsWithDifferentialEquations-PowerPoint

    15 Mar 2020

    2005-Breitling-ModelingBiologicalSystemsWithDifferentialEquationsBreitling, Rainer. 2005. Modelling Biological Systems with Differential Equations. PowerPoint Presntation. 51 slides.Outline:•Part 1: Why modelling?•Part 2: The statistical physics of...

  12. 2020-Stepien, Kostelich, Kuang. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review.

    27 Feb 2020 | Potential Scenario Ideas

    Stepien, Kostelich, Kuang. 2020. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review. 62(1): 244-263. This is an amazing article in support of a unique approach to an applied mathematics course based on the relationship between mathematics and cancer. We...

  13. JMM 2020 MAA Minicourse #10 Wall to Wall Modeling Scenarios for Differential Equations

    20 Jan 2020 | Presentations

    Joint Mathematics Meetings 2020 MAA Minicourse #10Wall to Wall Modeling Scenarios for Differential EquationsWe offer up the materials from the Minicourse. The actual files are found in Supporting Docs.Part A – Thursday, 16 January 2020, 9:00 AM - 11:00 AM Room 704, Meeting Room...

  14. JMM 2020 AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses

    20 Jan 2020 | Presentations

    We present the titles and abstracts as well as complete presentation for talks given at AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses, Room 108, Meeting Room Level, Colorado Convention Center, held at JMM 2020, 18 January 2020, Denver CO...

  15. 5-015-S-RunnerSynchronize

    13 Jan 2020 | Modeling Scenarios

    The goal is for students to practice finding and classifying equilibria of a one-variable system in this modeling context while also introducing variables defined on a restricted domain (the circle).

  16. 2-005-Text-S-LinearizeItAll

    09 Dec 2019 | Technique Narratives

    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

  17. 2-005-Text-S-LinearizeItAll

    09 Dec 2019 | Technique Narratives

    Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

  18. 10-001-S-TilingHallway

    12 Sep 2019 | Modeling Scenarios

    Students will investigate difference equations through the context of tiling hallways. Students will observe patterns in the tiling which will lead to a difference equation model. Solutions will be calculated by iteration.  Then students will be introduced to the concept of the shift...

  19. 1-084-S-GoingViral

    31 Aug 2019 | Modeling Scenarios

    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom).  Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.  Finally, students solve the...

  20. 9-015-S-UnearthingTruth

    28 Aug 2019 | Modeling Scenarios

    This project introduces electrical resistivity tomography, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current. Specifically, a known electrical current is injected into an object (for example, the earth) and...

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