
1001cSPopulationDecayThenSome
18 Jun 2019  Modeling Scenarios
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.

1024TMalariaControl
06 May 2016  Modeling Scenarios
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and nonlinear (logistic growth) differential equations. The scenario is based on the deployment of the United States Army's 62nd Engineer Battalion to...

1028TSouthernSweetIcedTea
25 Jun 2016  Modeling Scenarios
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.

1032SDigoxinElimination
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 ``firstorder reaction'' in the language of pharmacokinetics  the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

1032TDigoxinElimination
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 ``firstorder reaction'' in the language of pharmacokinetics  the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

1034TFishMixing
24 Dec 2015  Modeling Scenarios
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...

1044TCollegeBound
31 Jul 2016  Modeling Scenarios
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.

1050TBargingAhead
10 Feb 2016  Modeling Scenarios
As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy. Since expended energy is proportional to the force, and since the force is proportional to the speed, traveling too fast is inefficient. However,...

1061TPotatoCooling
05 Oct 2016  Modeling Scenarios
We model the cooling of a baked potato and compare it to studentcollected data.

1064TTorricelliBox
14 Aug 2017  Modeling Scenarios
The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.

1065TAlgal Blooms
26 Jul 2016  Modeling Scenarios
This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994. After reading a summary of articles written on the incidents, students are guided through the process of creating a first order differential equation from a verbal model of the...

1066SUSCensusModeling
15 Sep 2017  Modeling Scenarios
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled.

1066TUSCensusModeling
15 Sep 2017  Modeling Scenarios
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions. Analysis of the perunit population growth leads to an understanding of the assumptions underlying each model. Parameters in...

1081STumorGrowth
09 Jun 2018  Modeling Scenarios
Students will transform, solve, and interpret a tumor growth scenario using nonlinear 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...

1081TTumorGrowth
09 Jun 2018  Modeling Scenarios
Students will transform, solve, and interpret a tumor growth scenario using nonlinear 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...

1095TRatingChessPlayers
17 Aug 2016  Modeling Scenarios
The goal of this activity is to have students build a mathematical model involving a system of first order difference equations from a verbal description of a scenario. In the first part of the activity, students will read a description of a method used to rate chess players. From the verbal...

1108SPoissonProcess
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.

1108TPoissonProcess
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.

1115SModelingWithFirstOrderODEs
04 Sep 2017  Modeling Scenarios
Several models using first order differential equations are offered with some questions on formulating a differential equations model

1115TModelingWithFirstOrderODEs
04 Sep 2017  Modeling Scenarios
Several models using first order differential equations are offered with some questions on formulating a differential equations model with solutions provided.