
2010PhillipsModeling and Calculus
11 Sep 2017  Contributor(s):: Brian Winkel
Phillips, Collin. 2010. Modelling and Calculus. Draft Text. 72 pp.Basically, this is what the author offers, “The interpretation and translation of natural and real world problems that are described in words into a specification and description of the modelling problem in the language of...

2012RuskinkoSwanAgentBased Fabric Modeling Using Differential Equations
11 Sep 2017  Contributor(s):: Brian Winkel
Rusinko, Joseph and Hannah Swan. 2012. AgentBased Fabric Modeling Using Differential Equations. CODEE Journal. 9(1):112. http://scholarship.claremont.edu/codee/vol9/iss1/7/ . Accessed 10 September 2017.Abstract: We use an agentbased modeling software, NetLogo, to simulate fabric drape by...

2012MisraMathematics Model for the Spread of Two Political Parties
11 Sep 2017  Contributor(s):: Brian Winkel
Misra, Arvind Kumar. 2012. A simple mathematical model for the spread of two political parties. Nonlinear Analysis: Modelling and Control. 17(3): 343–354.Abstract. In this paper, a nonlinear mathematical model for the spread of two political parties has been proposed and...

Chemical Reaction Rates Slides
11 Sep 2017  Contributor(s):: Brian Winkel
Chemical Reaction Rates Slides. PowerPoint. 105 slides.This is a presentation (short course) on both the mathematics and chemistry of chemical reaction rates. It is rich in illustrations and covers very basic information like units in reactions nicely. It goes into multiplestep reactions as...

2013HuberEtAlTeaching Differential Equations With Modeling
11 Sep 2017  Contributor(s):: Brian Winkel
2013HuberEtAlTeaching Differential Equations With Modeling. Notes from JMM 2013 Minicourse.From the preface, “Mathematical modeling has been an important part of our differential equations courses for many years and we appreciate the opportunity to share our passion and ideas with you....

2015UnpropogandaFilling and Draining Spherical Tank
11 Sep 2017  Contributor(s):: Brian Winkel
2015UnpropogandaMore on Filling a Spherical Tank, and Gravitational Drainage of a Spherical Tank. https://unpropaganda.wordpress.com/2015/06/14/moreonfillingasphericaltankandgravitationaldrainageofasphericaltank/ . Accessed 10 September 2017.One of several interesting columns...

2010SoetartEtAlSolving Differential Equations in R
11 Sep 2017  Contributor(s):: Brian Winkel
Soetaert, Karline, Thoas Petzoldt, R. Woodrow Setzer. 2010. Solving Differential Equations in R. The R Journal. 2(2): 515.Abstract: Although R is still predominantly applied for statistical analysis and graphical representation, it is rapidly becoming more suitable for mathematical computing....

2008PadirEtAlTeaching Differential Equations in a Diverse Classroom
10 Sep 2017  Contributor(s):: Brian Winkel
Padir, Taskin, Kimberly Muller, Collett Coullard. 2008. Teaching Differential Equations in a Diverse Classroom. ASEE Conference. 13 pp.Diverse means different kinds of engineering majors. The interesting portion of this paper are the descriptions of student projects offered: Vibrations of a...

2002NorbergBasic Life Insurance Mathematics
10 Sep 2017  Contributor(s):: Brian Winkel
Norberg, Ragnar. 2002. Basic Life Insurance Mathematics. http://www.math.ku.dk/~mogens/lifebook.pdf . Accessed 10 September 2017.Presents fundamentals of life insurance, mortality, savings, banks, finance, reserves, pensions, stochastic processes.Keywords: life insurance, mortality, savings,...

2013SlavikMixing Problems with Many Tanks
10 Sep 2017  Contributor(s):: Brian Winkel
Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly. 120: 806821.Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations. Keywords: tank, circula,...

2012BourneModeling fish stocks
10 Sep 2017  Contributor(s):: Brian Winkel
Bourne, Murray. 2012. BourneModeling fish stocks. https://www.intmath.com/blog/mathematics/modelingfishstocks7377 . Accessed 10 September 2017.Discusses many models of harvesting and consequences.Keywords: logistic, harvest, differential equation, model, first order, fish, fish...

Calculus for Engineers IISample Problems on mathematical modeling with differential equations
10 Sep 2017  Contributor(s):: Brian Winkel
Calculus for Engineers IISample Problems on mathematical modeling with differential equations. https://www.maths.tcd.ie/~manuela/Sample_1.pdf . Accessed 10 September 2017.Five modeling activities involved with emptying various tanks, projectile motion with resistance, and population growth and...

2015SayamaIntro to Modeling and Analysis of Complex Systems
10 Sep 2017  Contributor(s):: Brian Winkel
Sayama, U. 2015. Intro to Modeling and Analysis of Complex Systems. Geneseo NY: Open SUNY Textbooks. 498 pp.Available at https://textbooks.opensuny.org/introductiontothemodelingandanalysisofcomplexsystems/ . Accessed 10 September 2017.From web site, “Introduction to the...

2014Bozkurt Peker Mathematical modelling of HIV epidemic and stability analysis
10 Sep 2017  Contributor(s):: Brian Winkel
Bozkurt, Fatma and Fatma Peker. 2014. Mathematical modelling of HIV epidemic and stability analysis. Advances in Difference Equations. 95 http://www.advancesindifferenceequations.com/content/2014/1/95 . Accessed 10 September 2017.Abstract: A nonlinear mathematical model of differential...

SmithSimple Epidemic Models
10 Sep 2017  Contributor(s):: Brian Winkel
Smith, Robert. Simple Epidemic Models. PowerPoint. 26 Slides.http://mysite.science.uottawa.ca/rsmith43/MAT4996/Epidemic.pdf . Accessed 10 September 2017.First slide, Construct ODE (Ordinary Differential Equation) models Relationship between...

2009EdelsteinKeshetNotes Differential Equations
10 Sep 2017  Contributor(s):: Brian Winkel
EdelsteinKeshet, Leah. 2009. Chapter 11 – Differential Equations. http://ugrad.math.ubc.ca/coursedoc/math103/keshet.notes/chapter11Notes.pdf . Accessed 10 September 2017.Thorough and very readable material on many topics in differential equation, e.g., separation of variable,...

Hundley Local Linear Analysis of Nonlinear Autonomous DEs
10 Sep 2017  Contributor(s):: Brian Winkel
Hundley, D. Local Linear Analysis of Nonlinear Autonomous DEs. Notes. 4 pp.. http://people.whitman.edu/~hundledr/courses/M244S14/M244/LinearizationNote.pdf .Accessed 10 September 2017.Thorough and very readable material on linearization issues with rich examples (geometric) and...

2011YuanEtAlReal Life Applications of ODEs for Undergraduates
10 Sep 2017  Contributor(s):: Brian Winkel
Yuan, Yhe, Stephan V. Joubert, Ying Hal. 2011.Real life applications of ODEs for Undergraduates https://lupucezar.files.wordpress.com/2011/02/yuan.pdf . Accessed 10 September 2017.Abstract: This study introduces reallife mathematical theories and models of international relationships suitable...

2017ZivaripiranParameter Estimation of Mathematical Models Described by Differential Equations
10 Sep 2017  Contributor(s):: Brian Winkel
Zivaripiran, Hossein. Parameter Estimation of Mathematical Models Described by Differential Equations. PowerPoint. 32 Slides. http://www.cs.toronto.edu/~hzp/index_files/presentations/ST2hossein.pdf . Accessed 10 September 2017.Statistical attempts at parameter estimation given data are...

2007SteffensenDEs in Finance and Life Insurance
10 Sep 2017  Contributor(s):: Brian Winkel
Steffensen, Mogen. 2007. Differential Equations in Finance and Life Insurance. In: Jensen, B.S. and Palokangas, T. (2007) Stochastic Economic Dynamics. CBS press.From the opening of the paper,“The mathematics of finance and the mathematics of life insurance were always...