
SIMIODE  Building a Learning Community to Teach ModelingFirst Differential Equations  A CONVERSATION
04 Feb 2016
A presentation, SIMIODE  Building a Learning Community to Teach ModelingFirst Differential Equations  A CONVERSATION, by Dr. Brian Winkel, Director SIMIODE, Cornwall NY USA at Oregon Institute of Technology, Klamath Falls OR USA on 21 January 2016.

Teaching Differential Equations the SIMIODE Way
04 Feb 2016
Teaching Differential Equations the SIMIODE Way, a presentation by John B. Thoo, Yuba College, Marysville CA at the Contributed Paper Session: The Teaching and Learning of Undergraduate Ordinary Differential Equations 2016 AMSMAA JMM, Seattle WA USA.

Modeling First Techniques Just In Time
04 Feb 2016
A Presentation by Dr. Eric Sullivan (Teacher) and Elizabeth Sullivan (Student) from Carroll College, Helena MT USA describing how differential equations is taught in a modeling first manner.

SIMIODE  Building a Learning Community to Teach ModelingFirst Differential Equations
03 Feb 2016
Talk given by Brian Winkel, Director of SIMIODE, at Joint Mathematics Meetings 2016 at the Contributed Paper Session: Teaching and Learning of Undergraduate Ordinary Differential Equations, 9:00 AM Friday, 8 January 2016, Washington State Convention Center, Rm 617

3060SDataToDifferentialEquation
24 Dec 2015  Modeling Scenarios
Students use their knowledge of secondorder linear differential equations in conjunction with physical intuition of springmass systems to estimate the damping coefficient and spring constant from data. The data is presented as {%5Cit total distance traveled} instead of displacement so the...

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,...

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. The...

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

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 volunteer...

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...

2015NelsonDifferential 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...

2011ZhaoSystems 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...

NotesMathematical Modeling and Ordinary Differential Equations
22 Jun 2015  Articles and Publications
Chern, ILiang. 2008. Mathematical Modeling and Ordinary Differential Equations. Notes. Department of Mathematics, National Taiwan University. http://scicomp.math.ntu.edu.tw/wiki/images/c/c0/Chern_ode.pdf . Accessed 22 June 2015.This a set of notes using Maple and tied to a version of Boyce...

2001EdwardsBuckmireDifferential Equation Models of Cinematic BoxOffice Dynamics
20 Jun 2015  Potential Scenario Ideas
Edwards, David A. and Ron Buckmire. 2001. A differential equation model of North American cinematic boxoffice dynamics. IMA Journal of Management Mathematics. 12: 4174. Article Abstract: A new mathematical model is presented for the boxoffice dynamics of a motion picture released in North...

2008FoglerGurmenElements of Chemical Reaction Engineering
20 Jun 2015  Potential Scenario Ideas
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...

2007MyersWinkelMystery Circuit Analysis
20 Jun 2015  Potential Scenario Ideas
Myers, Joseph and Brian Winkel. 2007. Mystery Circuit in Mathematics Class. The UMAP Journal. 28(1): 1525. Article Abstract: We discuss the introduction, student discovery, and teaching of a system of differential equations that model a circuit. In an engineering mathematics...