
1001dSHotelPopulationDecay
03 Jul 2019   Contributor(s):: Dina Yagodich
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

1001cSPopulationDecayThenSome
18 Jun 2019   Contributor(s):: Dina Yagodich
This is an adaption of Modeling Scenario 1001SMandMDeathAndImmigration in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

1062SBacterialGrowth
15 Sep 2018   Contributor(s):: Arati Nanda Pati
We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...

1108SPoissonProcess
27 Aug 2018   Contributor(s):: Mehdi HakimHashemi
In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.

Dabbling in Differential Equation Modeling
25 Sep 2017   Contributor(s):: Brian Winkel
Brian Winkel, Director of SIMIODE, spoke on 27 September 2017 at a Noon gathering at the SUNY Potsdam School of Education and Professional Studies, Disciplined Inquiry in Education Seminar Series, organized by Dr. Sergei Abramovich School of Educaiton, SUNY Potsdam NY USA.Title: ...

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...

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 of...

2016BeckmanSanchezCache Modeling Through Differential Equations
08 Sep 2017   Contributor(s):: Brian Winkel
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:...

2014IMPULSLessonPlanEpidemicModeling
08 Sep 2017   Contributor(s):: Brian Winkel
IMPULS International Mathteacher Professionalization Using Lesson Study. 2014. Grade 12 Mathematics Lesson Plan: Epidemics. Part of http://www.impulstgu.org/en/ . Accessed 7 September 2017.Introduces a lesson for high school students using a difference equation approach to...

1991KotiahDifference Differential Equations Finance
07 Sep 2017   Contributor(s):: Brian Winkel
Kotiah, Thoddi C. T. 1991. Difference and differential equations in the mathematics of finance. International Journal of Mathematical Education in Science and Technology, 22(5): 783789.Abstract: Many problems arising in the mathematics of finance involve identical money flows at regular...

1994EveringhamRydellModeling Demand For Cocaine
25 Jun 2017   Contributor(s):: Susan S. Everingham, C. Peter Rydell
Everingham, Susan S. and C. Peter Rydell. 1994 Modeling the Demand for Cocaine. Rand Corporation: Santa Monica CA.Keywords: Cocaine, difference equation, model, two compartment, drugs, data, parameter estimation.This is a report prepared for the Office of National Drug Control Policy of the...

1001BSMAndMDeathImmigrationMystery
27 Jun 2016   Contributor(s):: Brian Winkel
We describe a classroom activity in which students use M&M candies to simulate death and immigration. Each student conducts an experiment with an immigration rate unique to that student  of that student's choice. Collected data on generation or iteration and population is then...

1001pgfSBirthDeathImmigration
09 Feb 2016   Contributor(s):: Chris McCarthy
We develop a mathematical model of a death and immigration process using m&m's as a stochastic process with the help of probability generating functions.

1006SFinancingSavingsAndLoans
31 May 2015   Contributor(s):: Brian Winkel
We describe two situations (Pa) one in which we are saving for a purpose and (2) one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation and in the second case we ask that the results of the model be used to examine some...

1005BSChemDataCollection
30 May 2015   Contributor(s):: Brian Winkel
We present a situation in which a chemistry graduate student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not keep track of...

1005ASChemDataCollection
30 May 2015   Contributor(s):: Brian Winkel
We present a situation in which a chemistry graduate student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, she only collects the data at the start and end of a number of ten minute intervals and does not keep track of when...

1005ASOilSlick
30 May 2015   Contributor(s):: Karen Bliss

1005SOilSlick
30 May 2015   Contributor(s):: Brian Winkel
We describe a modeling activity for students in which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...

Population Modeling with M and M's
30 May 2015   Contributor(s):: Brian Winkel
Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented. Physical activities involving MandM’s can be modeled by difference equations and several population phenomena, including death and immigration, are studied.

1004SMicroorganismImmigration
30 May 2015   Contributor(s):: Brian Winkel
We present a modeling opportunity for population death with nonconstant immigration and suggest the use of both discrete and continuous models with a comparison of results.