Tags: order

Modeling Scenarios (41-60 of 84)

  1. 6-040-S-StruggleForExistence

    23 Nov 2016 | | Contributor(s):: Brian Winkel

    We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters.

  2. 1-059-S-ContainerShapeFallingWater

    22 Nov 2016 | | Contributor(s):: Brian Winkel

    We examine many different physical situations to determine the time it takes a fixed volume of water to flow out of different shape containers through the same size exit hole at the bottom of the container.

  3. 7-010-S-MultipleDoses

    12 Oct 2016 | | Contributor(s):: Brian Winkel

    Two possible multiple dose drug administration regimens are offered for modeling. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and the other involves steady drip flow over short periods of time....

  4. 1-061-S-PotatoCooling

    05 Oct 2016 | | Contributor(s):: Brian Winkel

    We model the cooling of a baked potato and compare it to student-collected data.

  5. 1-039-S-StochasticPopModels

    11 Sep 2016 | | Contributor(s):: Dan Flath

    We offer students the opportunity to develop several strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t. We go further...

  6. 1-044-S-CollegeBound

    31 Jul 2016 | | Contributor(s):: Brian Winkel

    Preparing for four years of college for a friend of the family's newborn is the task. Making assumptions about costs, timing, interest rates, and fiscal capabilities are the order of the day.

  7. 1-051-S-OneTankSaltModel

    23 Jul 2016 | | Contributor(s):: Brian Winkel

    We offer students a chance to model a one compartment salt mixing model.

  8. 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...

  9. 1-028-S-SouthernSweetIcedTea

    25 Jun 2016 | | Contributor(s):: Troy Henderson

    We offer raw data collected from a webcam and a thermometer for evaluating the strength of steeping tea.  We ask students to build a mathematical model using the data to predict how long the tea should steep before essentially reaching saturation.

  10. 1-033-S-SouthernBarbeque

    22 Jun 2016 | | Contributor(s):: Troy Henderson

    We offer raw data collected from two thermometers used in the smoking process of Southern barbecue.  One thermometer measures the temperature inside of the smoke chamber and the other measures the internal temperature of the meat.  This data can be used to model and predict the amount...

  11. 1-036-S-NeutralBuoyancy

    03 Jun 2016 | | Contributor(s):: John Thomas Sieben

    Things float or they don’t.  Well, it’s not quite that simple. In this exercise we lead students through applications of several laws of physics to develop and solve differential equations that will predict where in a water column a weight with an attached lift bag will become...

  12. 1-041-S-AirToTop

    19 May 2016 | | Contributor(s):: John Thomas Sieben

    Divers, especially novice divers, have concerns about running out of breathing air while at depth.  One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using...

  13. 1-032-S-WordPropagation

    07 Apr 2016 | | Contributor(s):: Rachelle DeCoste, Rachel Bayless

    This activity is a gentle introduction to modeling via differential equations. The students will model the rate at which the word jumbo has propagated through English language texts over time.

  14. 1-029-S-ConeToCubeFlow

    02 Mar 2016 | | Contributor(s):: Sania Qureshi

    We consider a configuration of two containers. An inverted right circular cone with a hole in point at the bottom  is suspended above an open-topped cube which also has a hole in the center of the bottom. The cone is filled with water and we wish to model the water flow from cone to cube and...

  15. 1-055-S-WaterFallingInCone

    27 Feb 2016 | | Contributor(s):: Brian Winkel

    There are three videos associated with this Modeling Scenario and all are available on SIMIODE YouTube Channel: Capture-3 YouTube Version SlowMoCapture-1 YouTube Version SlowMoCapture-2 YouTubeVersion and as streaming videos or down loads in this Modeling Scenario under the Supporting Docs Tab...

  16. 1-021-S-FeralCatControl

    24 Jan 2016 | | Contributor(s):: Rachel Bayless, Nathan Pennington

    This activity is structured as a letter from a company seeking assistance with a mathematical problem. The students will act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use...

  17. 1-034-S-FishMixing

    24 Dec 2015 | | Contributor(s):: Eric Sullivan, Elizabeth Anne Carlson

    This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a student-designed restocking and fishing plan in a lake. The mixture is of two species of fish, one being the current sole...

  18. 1-022-S-SpreadOfTechnology

    27 Nov 2015 | | Contributor(s):: Brian Winkel

    We examine  plots on the  spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.

  19. 1-011A-S-Kinetics

    06 Jun 2015 | | Contributor(s):: Karen Bliss

     Adapted from 1-11-Kinetics, SIMIODE modeling scenario.  We help students see the connection between college level chemistry course work and their differential equations coursework.  We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and...

  20. 1-027-S-StochasticProcesses

    04 Jun 2015 | | Contributor(s):: Brian Winkel

    We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.  We work to build our model of random events which...