
6040SStruggleForExistence
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.

1059SContainerShapeFallingWater
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.

7010SMultipleDoses
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....

1061SPotatoCooling
05 Oct 2016   Contributor(s):: Brian Winkel
We model the cooling of a baked potato and compare it to studentcollected data.

1039SStochasticPopModels
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...

1044SCollegeBound
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.

1051SOneTankSaltModel
23 Jul 2016   Contributor(s):: Brian Winkel
We offer students a chance to model a one compartment salt mixing model.

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...

1028SSouthernSweetIcedTea
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.

1033SSouthernBarbeque
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...

1036SNeutralBuoyancy
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...

1041SAirToTop
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...

1032SWordPropagation
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.

1029SConeToCubeFlow
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 opentopped 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...

1055SWaterFallingInCone
27 Feb 2016   Contributor(s):: Brian Winkel
There are three videos associated with this Modeling Scenario and all are available on SIMIODE YouTube Channel: Capture3 YouTube Version SlowMoCapture1 YouTube Version SlowMoCapture2 YouTubeVersion and as streaming videos or down loads in this Modeling Scenario under the Supporting Docs Tab...

1021SFeralCatControl
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...

1034SFishMixing
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 studentdesigned restocking and fishing plan in a lake. The mixture is of two species of fish, one being the current sole...

1022SSpreadOfTechnology
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.

1011ASKinetics
06 Jun 2015   Contributor(s):: Karen Bliss
Adapted from 111Kinetics, 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...

1027SStochasticProcesses
04 Jun 2015   Contributor(s):: Brian Winkel
We build the infinite set of first order differential equations for modeling a stochastic process, the socalled 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...