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1. 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. 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 non-linear (logistic growth) differential equations. The scenario is based on the deployment of the United States Army's 62nd Engineer Battalion to...

3. 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.

4. 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...

5. 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...

6. 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 student-designed restocking and fishing plan in a lake.  The mixture is of two species of fish, one being the current sole...

7. 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.

8. 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,...

9. 05 Oct 2016 | Modeling Scenarios

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

10. 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.

11. 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...

12. 15 Sep 2017 | Modeling Scenarios

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

13. 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 per-unit population growth leads to an understanding of the assumptions underlying each model. Parameters in...

14. 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...

15. 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...

16. 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...

17. 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.

18. 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.

19. 04 Sep 2017 | Modeling Scenarios

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

20. 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.