Tags: difference equation

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  1. 1-001d-S-HotelPopulationDecay

    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.

  2. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | | Contributor(s):: Dina Yagodich

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  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.

  3. 1-062-S-BacterialGrowth

    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...

  4. 1-108-S-PoissonProcess

    27 Aug 2018 | | Contributor(s):: Mehdi Hakim-Hashemi

    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.

  5. 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: ...

  6. 2015-Sayama-Intro 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/introduction-to-the-modeling-and-analysis-of-complex-systems/ . Accessed 10 September 2017.From web site, “Introduction to the...

  7. 2017-Tracy-Lectures 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 one-quarter course in differential equations. The approach is to tie the study of...

  8. 2016-BeckmanSanchez-Cache 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:...

  9. 2014-IMPULS-LessonPlan-EpidemicModeling

    08 Sep 2017 | | Contributor(s):: Brian Winkel

    IMPULS- International Math-teacher Professionalization Using  Lesson Study. 2014. Grade 12 Mathematics Lesson Plan:  Epidemics. Part of http://www.impuls-tgu.org/en/ .  Accessed 7 September 2017.Introduces a lesson for high school students using a difference equation approach to...

  10. 1991-Kotiah-Difference 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): 783-789.Abstract: Many problems arising in the mathematics of finance involve identical money flows at regular...

  11. 1994-EveringhamRydell-Modeling 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...

  12. 1-001B-S-MAndM-DeathImmigrationMystery

    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...

  13. 1-001pgf-S-BirthDeathImmigration

    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. 

  14. 1-006-S-FinancingSavingsAndLoans

    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...

  15. 1-005B-S-ChemDataCollection

    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...

  16. 1-005A-S-ChemDataCollection

    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...

  17. 1-005A-S-OilSlick

    30 May 2015 | | Contributor(s):: Karen Bliss

  18. 1-005-S-OilSlick

    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 ...

  19. 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. 

  20. 1-004-S-MicroorganismImmigration

    30 May 2015 | | Contributor(s):: Brian Winkel

    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

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