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  1. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios

    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.

  2. 1-001d-S-HotelPopulationDecay

    03 Jul 2019 | Modeling Scenarios

    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.

  3. 1-032-S-DigoxinElimination

    17 Aug 2018 | Modeling Scenarios

    We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

  4. 1-066-S-USCensusModeling

    15 Sep 2017 | Modeling Scenarios

    The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

  5. 1-081-S-TumorGrowth

    09 Jun 2018 | Modeling Scenarios

    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

  6. 1-108-S-PoissonProcess

    27 Aug 2018 | Modeling Scenarios

    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.

  7. 1-115-S-ModelingWithFirstOrderODEs

    04 Sep 2017 | Modeling Scenarios

    Several models using first order differential equations are offered with some questions on formulating a differential equations model

  8. 1-143-S-PopulationModelVariationsMATLAB

    17 Feb 2019 | Modeling Scenarios

    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations.  They will also work with other utilities...

  9. 1966-IntriligatorBrito-Predator-Prey Model of Guerrilla Warfare

    20 Jun 2015 | Potential Scenario Ideas

    Article Review and Annotation Intriligator, Michael D.  and Dagobert L. Brito. 1988.  A Predator-Prey Model of Guerrilla Warfare. Synthese . 76(2): 235-244. Special issue: Formal Analysis in International Relations. Excerpt from Article Abstract: “The purpose of this paper is to...

  10. 1968-WagnerEtAl-Performance 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): 635-638.This paper offers a two compartment model of lysergic acid diethylamide (LSD) in volunteer...

  11. 1975-Griffel-Teaching Formation of Differential Equations

    20 Jun 2015 | Potential Scenario Ideas

    Article Review and AnnotationGriffel, D. H. 1975. Teaching the formation and solution of differential equations. International Journal of  Mathematical Education in Science and Technology. 6(4): 467-473Article Abstract:  A description of a course for mathematics and physics students in...

  12. 1977-MackeyGlass-Oscillation 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: 287-289.Article Abstract: First-order nonlinear differential-delay equations describing physiological control systems are studied. The equations display a broad diversity of...

  13. 1981-NielsenRosenfeld-Substantive Interpretations of Differential Equation Models in Sociology

    20 Jun 2015 | Potential Scenario Ideas

    Nielsen, Francois and Rachel A. Rosenfeld. 1981.  Substantive Interpretations of Differential Equation Models.  American Sociological Review.  46: 159-174. This paper offers a rich (albeit captured in 1981) set of materials on using differential equations in sociology. The examples...

  14. 1984-Davis-NumericalMethods - Modeling For Chemical Engineering-Text

    09 Sep 2017 | Potential Scenario Ideas

    Davis, Mark. E. 1984. Numerical Methods and Modeling for Chemical Engineers.  NewYork:  John Wiley & Sons.  264 pp.From the PrefaceThis book is an introduction to the quantitative treatment of differential equations that arise from modeling physical phenomena in the...

  15. 1987-Rodin-Murthy-ComparativeEvalOfMathModelingBooks

    09 Dec 2018 | Potential Scenario Ideas

    Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 17-28.Abstract: In this paper we present a comparative evaluation of books on mathematical modelling that have appeared in the last 1.5 years.While dated this gives the...

  16. 1991-Watson-Probability 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): 507-517.Article Abstract: An application is considered of elementary differential equations rarely, if ever, used in first...

  17. 1992-Bulte-Deflection 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): 5-63.Article Abstract:  This paper presents the derivation and the physical meaning of the general fourth-order linear differential...

  18. 1992-Kenney-Differential equations and the AIDS epidemic

    20 Jun 2015 | Potential Scenario Ideas

    Kenney, Emelie A. 1992.  Differential equations and the AIDS epidemic: a lecture for Calculus II Students.  PRIMUS. 2(4): 386-392. Article Abstract:  This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study...

  19. 1994-Blanchard-Differential Equations Dynamical System Viewpoint

    09 Sep 2017 | Potential Scenario Ideas

    Blanchard, Paul. 1993.  2011. Teaching Differential Equations With a Dynamical Systems Viewpoint. Notes. 11 pp.This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.Keywords:  differential equations, model,...

  20. 1994-Yamaguti-Descrete Models in Social Sciences

    10 Sep 2017 | Potential Scenario Ideas

    Yamaguti, M. 1994. Discrete Models in Social Sciences. Computers Math. Applic. 28(10-12):   263-267.Abstract: Behaviors of solutions of a differential equation and its discretization sometimes differ greatly from each other. For example, even if a differential equation has no chaotic...