
2013ClarkeSkibaModels 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...

2011PulleyAnalyzingPredatorPreyModels
09 Sep 2017
Pulley, Lucas C. 2011. Analyzing PredatorPrey 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...

2014AllenEtAlPerturbations 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): 173180.Abstract: In this paper, we investigate the existence of stabilitychanging bifurcations in epidemiological...

2017TracyLectures 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 onequarter course in differential equations. The approach is to tie the study of...

2013GonzeNumerical 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...

2016StarlingEtAlModelingLocalBrewery
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. 26:3,188196.Abstract: We describe a modeling project designed for an ordinary differential equations (ODEs) course using firstorder and systems...

2015LutzerExpected 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): 339348.Abstract: We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the...

2011LeinbachBeyond 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, 765774.Abstract: The estimate of the time since death and, thus, the time of death is strictly that, an...

2015PendrillEagerTrampoline Jumping Model
09 Sep 2017
Pendrill. AnnMarie and David Eager. 2015. Free fall and harmonic oscillations: analyzing trampoline jumps. Physics Education. 50(1): 19.http://iopscience.iop.org/article/10.1088/00319120/50/1/64/meta . Accessed 5 September 2017. (This is an authorcreated, uncopyedited version of an...

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,...

1999HaninWhichTankEmptiesFirst
09 Sep 2017
Hanin, Leonid G. 1999. Which tank empties first? The American Mathematical Monthly. 106(10): 943947. 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...

2009RecktenwaldTankDrainingExercise
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...

Math2300Torrielli'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...

2016BeckmanSanchezCache 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:...

2015CollazoRiver CruzAponteAvian Influenza Model Puerto Rico
08 Sep 2017
CollazoRivera, M and M. CruzAponte. 2015. Avian Influenza Type AH5N1 Epidemiological Model: Puerto Rico as a Case Study. SM Vaccines and Vaccination Journal. 1(1) 1005. Abstract: Our research foused on Avian Influenza Type AH5N1, specifically on an epidemiological model centered in...

2014BrunEtAlModelingTrickLasso
08 Sep 2017
Brun, PierreThomas, 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...

2015UpretiSarkarLaplace Transforms And Its Applications
08 Sep 2017
Upreti, Sandhya and Ms. Piyali Sarkar. 2015. Laplace Transforms and its Applications. IJIRT. 1(6): 19431945. http://ijirt.org/master/publishedpaper/IJIRT101182_PAPER.pdf . Accessed 7 April 2017.Abstract: Laplace transform is applied in various areas of engineering and science....

2015BeierGevertzHowardTumor 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): 297325.Abstract: The use of modeling projects serves to...

2014VanceEadsThree Species Nonlinear Pop Model Analysis
08 Sep 2017
Vance, James and Christina Eads. 2014. Sensitivity Analysis of a ThreeSpecies Nonlinear Response Omnivory Model with Predator Stage Structure. Letters in Biomathematics. 1(1): 7786.Abstract: Omnivory is defined as feeding on more than one trophic level and is ubiquitous in most natural...

2010BoucherDetermining Dissolved Oxygen Levels
08 Sep 2017
Boucher, Randy. 2010. Determining Dissolved Oxygen Levels. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies.20(4): 362368.ABSTRACT: This project was used in a mathematical modeling and introduction to differential equations course for firstyear...