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  1. Secrets of the Mathematical Contest in Modeling

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    13 Nov 2018 | Articles and Publications | Contributor(s): Kelly Cline

    Published in 2009, Dr. Kelly Cline, Carroll College, Helena MT USA, discusses his evolving personal strategy for modeling competitions from young student participant to mature faculty coach. Dr....

    https://simiode.org/resources/secretsofmcm

  2. Approximating cosine and sine functions numerically

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    01 Mar 2018 | Articles and Publications | Contributor(s): Hans Rudolf Schneebeli

    Abstract: How can function values ​​for sine or cosine be quickly and reliably numerically estimated?  We consider equal circular motions on the unit circle in the complex plane and find...

    https://simiode.org/resources/4437

  3. Two competing populations: simulations with differential equations

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    01 Mar 2018 | Articles and Publications | 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...

    https://simiode.org/resources/4435

  4. Population Modeling

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    01 Mar 2018 | Articles and Publications | 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...

    https://simiode.org/resources/4433

  5. Modeling Falling Bodies

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    01 Mar 2018 | Articles and Publications | Contributor(s): Hans Rudolf Schneebeli

    Modelling falling bodies is discussed using a computer algebra system-calculator and introducing various traditional and elementary methods from calculus as well as  numerics for dealing with...

    https://simiode.org/resources/4431

  6. Modeling Contaminant Flow in the Puget Sound - Senior Thesis

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    01 Jun 2017 | Articles and Publications | Contributor(s): Jordan Christopher Trinka

    In this paper, we mathematically model contaminant flow in a two-dimensional domain of the Puget Sound using a finite element numerical solution to the advection-diffusion equation coupled with a...

    https://simiode.org/resources/3590

  7. Excel Advanced Solver for Partial Differential Equations

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    25 May 2017 | Articles and Publications | Contributor(s): Chahid Ghaddar

    We offer an illustration of PDASOLVE() an Excel Advanced Solver for Partial Differential Equations by Chahid Ghaddar of ExcelWorks (cghaddar@excel-works.com ) along with two articles concerning...

    https://simiode.org/resources/3582

  8. A Particular Solutions Formula For Inhomogeneous Arbitrary Order Linear Ordinary Differential Equations

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    24 May 2017 | Articles and Publications | Contributor(s): CLAUDE MICHAEL CASSANO

    A particular solution for any nonhomogeneous linear second, third, and fourth order ordinary differential equation is generally determined. Applying what was determined thus; and following by...

    https://simiode.org/resources/3581

  9. Let's Do It: Using Modeling in the Classroom

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    14 May 2017 | Articles and Publications | Contributor(s): Brian Winkel

     Winkel, B. J. 2017. Let's Do It: Using Modeling in the Classroom. MAA FOCUS.  37(2): 26-27. In this article the author, Brian Winkel, Director of SIMIODE, attempts to make the...

    https://simiode.org/resources/3563

  10. Informed Conjecturing in a Modeling Context Differential Equations

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    29 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    We examine two differential equations, (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning...

    https://simiode.org/resources/3425

  11. Vertical Projection in a Resisting Medium: Revelations on Observations of Mersenne

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    02 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Groetsch, C. W. and S. A. Yost. 2014. Vertical Projection in a Resisting Medium: Revelations on Observations of Mersenne. The American Mathematical Monthly. 21(6): 499-505. Article Abstract:...

    https://simiode.org/resources/3292

  12. Mathematical analysis of delay differential equation models of HIV-1 infection

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    02 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Nelson, Patrick W. and Alan S. Perelson. 2002. Mathematical analysis of delay differential equation models of HIV-1 infection. Mathematical Biosciences. 179: 73–94. Article Abstract:...

    https://simiode.org/resources/3289

  13. Analysis of logistic growth models

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    02 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Tsoularis, A. 2001. Analysis of logistic growth models. Research Letters in the Information and Mathematical Sciences. 2:23-46. Full article available at http://mro.massey.ac.nz/handle/10179/4341...

    https://simiode.org/resources/3290

  14. Differential Equation Models in Sociology

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    02 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Nielsen, Francois and Rachel A. Rosenfeld. 1981. Substantive Interpretations of Differential Equation Models. American Sociological Review. 46: 159-174. Article Abstract: The use of...

    https://simiode.org/resources/3291

  15. Beyond Newton's law of cooling – estimation of time since death

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    02 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Leinbach, Carl. 2011. Beyond Newton’s law of cooling – estimation of time since death. International Journal of Mathematical Education in Science and Technology. 42(6):...

    https://simiode.org/resources/3293

  16. What Goes Up Must Come Down

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    02 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Brauer, F. 1999. What Goes Up Must Come Down. American Mathematical Monthly. 108(5): 437-440. Article Abstract: NONE This paper is a wonderfully general analysis of the following, “It...

    https://simiode.org/resources/3294

  17. Curve fitting guide

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    01 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Fitting Models to Biological Data Using Linear and Nonlinear Regression: A Practical Guide to Curve Fitting Motulsky, Harvey and Arthur Christopoulos. 2001. Fitting Models to Biological Data...

    https://simiode.org/resources/3285

  18. Sustainability in a differential equations course: a case study of Easter Island

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    01 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Koss, Lorelei. 2011. Sustainability in a differential equations course: a case study of Easter Island. International Journal of Mathematical Education in Science and Technology. 42(4):...

    https://simiode.org/resources/3286

  19. Terminal velocity of a shuttlecock in vertical fall

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    01 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Peastrel, M., R. Lynch, and A. Armenti, Jr. 1980. Terminal velocity of a shuttlecock in vertical fall. American Journal of Physics. 48(7): 511-513. Article Abstract: We have performed a...

    https://simiode.org/resources/3287

  20. Predator-Prey Model of Guerrilla Warfare

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    01 Mar 2017 | Articles and Publications | Contributor(s): Brian Winkel

    Intriligator, Michael D. and Dagobert L. Brito. 1988. A Predator-Prey Model of Guerrilla Warfare. Synthese. 76(2): 235-244. Special issue: Formal Analysis in International Relations. Excerpt...

    https://simiode.org/resources/3288