
1003STextIntroNumericalMethods
10 Jan 2019   Contributor(s):: Brian Winkel
We ask students to develop two numerical methods for solving first order differential equations geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different step sizes.

2008HuangLiModelingLongTermLongitudinalHIVDynamics
01 Dec 2017   Contributor(s):: Brian Winkel
Huangi, Y. and T. Lu. 2008. Modeling longterm longitudinal HIV dynamics with applications to an AIDS clinical study. The Annals of Applied Sciences. 2(4): 13841408.Abstract: A virologic marker, the number of HIV RNA copies or viral load, is currently used to evaluate...

Sousa  mathispower4u Differential Equations Videos
10 Sep 2017   Contributor(s):: Brian Winkel
Sousa, James. mathispower4u Differential Equations Videos.http://www.mathispower4u.com/diffeq.php . Accessed 10 September 2017. Here is a list of just the Introduction to Differential Equations videosIntroduction to Differential Equation TerminologyDifferential Equations: Find the...

Chapter Nine – Mathematical Models with Differential Equations.
10 Sep 2017   Contributor(s):: Brian Winkel
Chapter Nine – Mathematical Models with Differential Equations. From unknown text. pp. 582622. http://higheredbcs.wiley.com/legacy/college/anton/0470183454/add_materials/mathematical_modeling_with_diff_equations.pdfThis is a rich chapter from unknown text with rich text and...

KatulENV264  Applied DE in Env Sci Models
10 Sep 2017   Contributor(s):: Brian Winkel
Katul, Gabriel G. ENV264 Applied Differential Equations in Environmental Sciences. Notes.Many environmental problems require the construction and solution to equations (or systems of equations) that involve relations between rates and states of environmental variables. The objective of this...

2014ShaferPharmacokinetis Basis Targeted Controlled Infusion
09 Sep 2017   Contributor(s):: Brian Winkel
Shafer, Steven. The Pharmacokinetic and Pharmacodynamic Basis of Target Controlled Infusion. 60 pp. https://web.stanford.edu/~sshafer/LECTURES.DIR/Notes/CCIP.DOC . Accessed on 7 September 2017. From the introduction of the paper, “Pharmacokinetics and pharmacodynamics provide...

1999AllenLoveAndDifferentialEquations
09 Sep 2017   Contributor(s):: Brian Winkel
Allen, David M. 1999. Love and differential equations: An Introduction to Modeling. PowerPoint Presentation. 44 slides.This is a set of slides with lots of topics touched upon briefly, but in the end there is an analysis of the Romeo and Juliet relationship.Keywords: differential equation,...

2013ClarkeSkibaModels In Physical Training
09 Sep 2017   Contributor(s):: Brian Winkel
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   Contributor(s):: Brian Winkel
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   Contributor(s):: Brian Winkel
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   Contributor(s):: Brian Winkel
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...

2015Ryu Engineering Mathematics  Differential Equations
03 Mar 2017   Contributor(s):: Jaeku Ryu
Ryu, Jaeku. 2015. ShareTechNote. Engineering Math – Differential Equations. http://www.sharetechnote.com/html/EngMath_DifferentialEquation.html . Accessed on 31 May 2015.This is a remarkable set of rich resources for engineering education and we note the strong conviction of the...

1991WatsonProbability Models in a Differential Equations Course
26 Jun 2015   Contributor(s):: Jane M. Watson
Watson, Jane M. 1991. Building probability models in a differential equations course. International Journal of Mathematical Education in Science and Technology. 22(4): 507517.Article Abstract: An application is considered of elementary differential equations rarely, if ever, used in first...

1999Single Modeling with Slime
25 Jun 2015   Contributor(s):: Richard M. Single
Single, Richard M.. 1999. DIFFERENCE QUOTIENTS, DERIVATIVES, AND DATA THROUGH MODELING WITH SLIME.PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 9(3): 279288Article Abstract: In this article, I present an experiment ...

Ten Equations that Changed Biology
25 Jun 2015   Contributor(s):: John R. Jungck
Jungck, John R. 1007. Ten Equations that Changed Biology: Mathematics in ProblemSolving Biology Curricula. Bioscene. 23(1): 1135.The author is a member of the Department of Biology, Beloit College, Beloit, WI USA.From the introduction, "These equations were...

2015Nelson Differential Equations and a Poster Project
25 Jun 2015   Contributor(s):: Dawn Nelson
Nelson, Dawn.Differential Equations and a Poster Project. Department of Mathematics, Bates College, Lewiston ME. http://abacus.bates.edu/~dnelson/DE_port.pdf. Accessed 22 June 2015.This is a wonderful assignment sheet with all attendant pedagogical and instrutional materials for students...

ODEs Models in Systems Biology
24 Jun 2015   Contributor(s):: Claudio Altafini
Altafini, Claudio. 2007. ODEs Models in Systems Biology  Lecture 5 & 6. 27 pp. http://people.sissa.it/~altafini/teach/SISSA07/lect07Dprn2.pdf . Accessed 22 June 2015.This is a set of slides for two lectures given in 2007 and contains materials on elementary reaction kinetics, enzyme...

2011Zhao Systems Biology  Differential Equations  Survey
24 Jun 2015   Contributor(s):: D. I. Zhao
Zhao, D. I. 2011. Differential Equation Models for Systems Biology: A Survey. Computational Analysis and Modeling, Lousiana Tech University, Ruston LA USA. 30 pp. http://www.advancedcomputing.cn/sys_bio_review.pdf . Accessed 22 June 2015.Abstract: In this paper, we will...

2015 BioModels Database
20 Jun 2015 
Article Review and AnnotationBioModels Database. 2015. The European Bioinformatics Institute. http://www.ebi.ac.uk/biomodelsmain/ . Accessed 15 March 2015.“Part of the European Molecular Biology Laboratory at the Wellcome Trust Genome Campus, Hinxton, Cambridgeshire, CB10 1SD,...

2008FoglerGurmen Elements of Chemical Reaction Engineering
20 Jun 2015   Contributor(s):: H. Scott Fogler, M. Nihat Gurmen
Fogler, H. Scott and M. Nihat Gurmen. 2008. Elements of Chemical Reaction Engineering: Strategies for Creative Problem Solving. http://www.umich.edu/~elements/07chap/html/07prof5.htm. Accessed 12 March 2015.This is a website with lots of modeling information, exercises, and lessons. The...