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  1. 2013-ClarkeSkiba-Models In Physical Training

    09 Sep 2017

    Clarke, D. C. and P. F. Skirba. 2013. Rationale and resources for teaching the mathematical modeling of athletic training and performance. Adv Physiol Edu. 37: 134–152.Abstract:  A number of professions rely on exercise prescription to improve health or athletic performance, including...

  2. 2011-Pulley-AnalyzingPredatorPreyModels

    09 Sep 2017

    Pulley, Lucas C. 2011. Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations.  Southern Illinois Universitiy, Honors Theses. Paper 344.Abstract: The main operating concern of all species in any ecosystem or natural environment is rooted in the battle for...

  3. 2014-AllenEtAl-Perturbations In Epidemiological Models Zombies Attack

    09 Sep 2017

    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): 173-180.Abstract: In this paper, we investigate the existence of stability-changing bifurcations in epidemiological...

  4. 2017-Tracy-Lectures On Differential Equation

    09 Sep 2017

    Tracy, Craig A. 2017. Lectures on Differential Equations.  Notes. 165 pp. https://www.math.ucdavis.edu/~tracy/courses/math22B/22BBook.pdf . Accessed 7 September 2017.The author says,“These notes are for a one-quarter course in differential equations. The approach is to tie the study of...

  5. 2013-Gonze-Numerical MethodsforODE

    09 Sep 2017

    Gonze, Didier. 2013.  Numerical methods for Ordinary Differential Equations. Notes. 15 pp.http://homepages.ulb.ac.be/~dgonze/TEACHING/numerics.pdf. Accessed 8 September 2017.The paper begins,“Differential equations can describe nearly all systems undergoing change. They are widespread...

  6. 2016-StarlingEtAl-ModelingLocalBrewery

    09 Sep 2017

    Starling, James K., Timothy J. Povich. And Michael Findlay. 2016. The Local Brewery: A Project for Use in Differential Equations Courses. PRIMUS. 26:3,188-196.Abstract:  We describe a modeling project designed for an ordinary differential equations (ODEs) course using first-order and systems...

  7. 2015-Lutzer-Expected Value Introduce Laplace Transform

    09 Sep 2017

    Lutzer, Carl V.  2015. Using Expected Value to Introduce the Laplace Transform. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 25(4): 339-348.Abstract: We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the...

  8. 2011-Leinbach-Beyond Newtons Law Of Cooling Time Of Death

    09 Sep 2017

    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, 765-774.Abstract:  The estimate of the time since death and, thus, the time of death is strictly that, an...

  9. 2015-PendrillEager-Trampoline Jumping Model

    09 Sep 2017

    Pendrill. Ann-Marie and David Eager. 2015. Free fall and harmonic oscillations: analyzing trampoline jumps. Physics Education. 50(1): 1-9.http://iopscience.iop.org/article/10.1088/0031-9120/50/1/64/meta . Accessed 5 September 2017. (This is an author-created, un-copyedited version of an...

  10. BobbingObjectInWater

    09 Sep 2017

    Introduction to Second Order Linear Equations- Bobbing Object in Water. 2 pp.This is a nice treatment of developing a model of a bobbing object in water from first principles with some nice additional questions which would make a nice Modeling Scenario.Keywords:  buoyancy, bobbing, water,...

  11. 1999-Hanin-WhichTankEmptiesFirst

    09 Sep 2017

    Hanin, Leonid G. 1999. Which tank empties first?  The American Mathematical Monthly.  106(10): 943-947.  Preprint.From the opening of the paper, “Suppose that water towers like those shown in Figure 1 are initially filled with water and have the same volume, height, and...

  12. 2009-Recktenwald-TankDrainingExercise

    09 Sep 2017

    Recktenwald, G. 2009. Tank Draining Exercise.   http://eet.cecs.pdx.edu/expt/tankdrain/pdf/tankDrainingLabExercise_Fall09.pdf . 16 pp. Accessed 7 September 2017.As part of an experience Engineering in Everyday Things this paper describe deep mathematics, including differential equations...

  13. Math2300-Torrielli'LawExercises

    08 Sep 2017

    Math2300- Torricelli’s Law Exercises. University of Colarado.  https://math.colorado.edu/math2300/projects/2300Project12ToricelliSol.pdf . Accessed 7 September 2017.This is a set of completely worked out exercises which could be the basis for a Modeling Scenario based on...

  14. 2016-BeckmanSanchez-Cache Modeling Through Differential Equations

    08 Sep 2017

    Beckmann, Nathan and  Daniel Sanchez.  2015. . Comp[uter Science and Artiial Intelligence Laboratory, MIT. Cache Calculus: Modeling Caches through Differential Equations https://people.csail.mit.edu/sanchez/papers/2016.cachecalc.cal.pdf.  Access 6 September 2017.Abstract:...

  15. 2015-Collazo-River Cruz-Aponte-Avian Influenza Model Puerto Rico

    08 Sep 2017

    Collazo-Rivera, M and M. Cruz-Aponte. 2015. Avian Influenza Type A-H5N1 Epidemiological Model: Puerto Rico as a Case Study.  SM Vaccines and Vaccination Journal. 1(1) 1005. Abstract: Our research foused on Avian Influenza Type A-H5N1, specifically on an epidemiological model centered in...

  16. 2014-BrunEtAl-ModelingTrickLasso

    08 Sep 2017

    Brun, Pierre-Thomas, Neil Ribe, and Basile Audoly. 2014. An introduction to the mechanics of the lasso. Proc. R. Soc. A 470. 18 pp.Abstract: Trick roping evolved from humble origins as a cattlecatching tool into a sport that delights audiences all over the world with its complex patterns or...

  17. 2015-UpretiSarkar-Laplace Transforms And Its Applications

    08 Sep 2017

    Upreti,  Sandhya  and Ms. Piyali Sarkar.  2015. Laplace Transforms and its Applications. IJIRT. 1(6): 1943-1945. http://ijirt.org/master/publishedpaper/IJIRT101182_PAPER.pdf . Accessed 7 April 2017.Abstract: Laplace transform is applied in various areas of engineering and science....

  18. 2015-BeierGevertzHoward-Tumor Growth Modeling

    08 Sep 2017

    Beier, Julie C., Jana L. Gevertz, and  Keith E. Howard. 2015. Building Context with Tumor Growth Modeling Projects in Differential Equations. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 25(4): 297-325.Abstract: The use of modeling projects serves to...

  19. 2014-VanceEads-Three Species Nonlinear Pop Model Analysis

    08 Sep 2017

    Vance, James and  Christina Eads. 2014. Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure. Letters in Biomathematics. 1(1): 77-86.Abstract: Omnivory is defined as feeding on more than one trophic level and is ubiquitous in most natural...

  20. 2010-Boucher-Determining Dissolved Oxygen Levels

    08 Sep 2017

    Boucher, Randy.  2010.  Determining Dissolved Oxygen Levels. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies.20(4):  362-368.ABSTRACT: This project was used in a mathematical modeling and introduction to differential equations course for first-year...

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