
6020TAlgaeSelfReplenishment
11 Dec 2015  Modeling Scenarios
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. After reading a summary of news articles on the incident, students create an ODE system model from a verbal description of the factors, visualize this system using an executable Java applet...

BiologyDriven Approaches to Teaching Differential Equations
30 Sep 2015  Presentations
At the International Symposium on Biomathematics and Ecology Education and Research 2015 (see https://about.illinoisstate.edu/biomath/beer/Pages/default.aspx), 911 October 2015, Illinois State University, State Farm Hall of Business 145, 9:159:40 AM , Brian Winkel gives talk,...

5012TLipoproteinMetabolism
10 Sep 2015  Modeling Scenarios
Data from a study on the amounts of lowdensitylipoprotein (LDL), a form of cholesterol, in blood plasma is presented. Students build, validate, and use a compartment model of the kinetic exchange of the LDL between the extravascular body tissue and the blood plasma.

3042TCatapultLaunch
09 Sep 2015  Modeling Scenarios
We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to give the best lift.

3035TStadiumDesign
07 Sep 2015  Modeling Scenarios
For a given playing field outline how high must the outfield fence be at each point in order to make a home run equally likely in all fair directions?

2006LeMasurierNonstandard Topics for Student Pesentations in Differential Equations
29 Aug 2015  Potential Scenario Ideas
LeMasurier, Michelle. 2006. Nonstandard Topics for Student Presentations in Differential Equations. PRIMUS. 16(4): 349357.This is an amazing paper in which the author offers 33 presentation topics with full paginated citations from 27 references. At Hamilton College, where the...

Differential Equations (TextBook)
10 Aug 2015  General Resources
Decker, R. and B. Albright. 2015. Differential Equations. Available at http://uhaweb.hartford.edu/rdecker/deckeralbrightsummer15.pdf . Accessed 10 August 2015.This is a 301 page text covering the traditional topics of an ordinary differential equations course through Laplace Transforms....

CUPM Curriculum Guide  Differential Equations
21 Jul 2015  Articles and Publications
2015 CUPM Curriculum Guide to Majors in the Mathematical Sciences, Course Area Reports. (Ordinary) Differential Equations. http://www2.kenyon.edu/Depts/Math/schumacherc/public_html/Professional/CUPM/2015Guide/Course%20Groups/OrdDiffeq.pdf

The College Mathematics JournalDifferential Equations Articles  Reviews
29 Jun 2015  General Resources
Judson, Tom, Chris Leary, and Mike Breen. Reviews of Differential Equations Articles in recent issues of The College Mathematics Journal.Almost all of the articles are listed at http://www.maa.org/pubs/cmjindex/cmjindex.html which is an index compiled c. 2000 by These Donald E. Hooley,...

1968WagnerEtAlPerformance Test Scores and LSD
26 Jun 2015  Potential Scenario Ideas
Wagner, J. G.,G. K. Aghajanian, and O. H. L. Bing. 1968. Correlation of performance test scores with tissue concentration of lysergic acid diethylamide. Clinical pharmacology and therapeutics. 9(5): 635638.This paper offers a two compartment model of lysergic acid diethylamide (LSD) in...

1991WatsonProbability Models in a Differential Equations Course
26 Jun 2015  Potential Scenario Ideas
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...

1992BulteDeflection Curve  the Differential Equation
26 Jun 2015  Potential Scenario Ideas
Bulte, C. H. F. 1992. The differential equation of the deflection curve. International Journal of Mathematical Education in Science and Technology. 23(1): 563.Article Abstract: This paper presents the derivation and the physical meaning of the general fourthorder linear differential...

1977MackeyGlassOscillation and Chaos in Physiological Control Systems
26 Jun 2015  Potential Scenario Ideas
Mackey, Michael C. and Leon Glass. 1977. Oscillation and Chaos in Physiological Control Systems. Science. 197: 287289.Article Abstract: Firstorder nonlinear differentialdelay equations describing physiological control systems are studied. The equations display a broad diversity of...

2015Nelson Differential Equations and a Poster Project
25 Jun 2015  Potential Scenario Ideas
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  Presentations
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...

TextChapter 31  Differential Equations
24 Jun 2015  Articles and Publications
Text  Chapter 31  Differential Equations. 68 pp.We found this originally as a text source for Harvard University differential equation course, but cannot locate the source. Nevertheless this is a beautifully written chapter with many, many worked examples and models. Models are in many fields,...

TextMathematics Modelling in Systems Biology
24 Jun 2015  Articles and Publications
Ingalls, Brian. 2012. Mathematical Modelling in Systems Biology. Applied Mathematics, University of Waterloo. Preprint. 396 pp. http://www.math.uwaterloo.ca/~bingalls/MMSB/ . Accessed 1 May 2015.This set of notes for a book is very impressive with many, many areas of biology touched...

2011Zhao Systems Biology  Differential Equations  Survey
24 Jun 2015  Potential Scenario Ideas
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...

NotesQualitative Analysis of Differential Equations
22 Jun 2015  Articles and Publications
Panfilov, Alexander. 2010. Qualitative Analysis of Differential Equations. 2010. Theoretical Biology, Utrecht University. http://wwwbinf.bio.uu.nl/panfilov/bioinformatica/bioinf10.pdf . Accessed 22 June 2015.This is a set of notes with derivations, motivating illustrations, exercises, and some...

NotesLectures on Differential Equations
22 Jun 2015  Articles and Publications
Tracy, Craig A. 2015. Lectures on Differential Equations. Department of Mathematics, University of California, Davis CA 95616 USA. https://www.math.ucdavis.edu/~tracy/courses/math22B/22BBook.pdf . Accessed on 22 June 2015.This set of notes is for quarter length course and consist of good...