## What's New:

### Modeling Scenarios feed

1. 22 Jul 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

2. 14 Jul 2020 | Modeling Scenarios | Contributor(s):: Therese Shelton, Brian Winkel

We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.

3. 10 Jul 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

4. 15 Jun 2020 | Modeling Scenarios | Contributor(s):: Tracy Weyand

Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

5. 11 Jun 2020 | Modeling Scenarios | Contributor(s):: Tracy Weyand

Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are first-order ordinary differential equations (which...

6. 04 Jun 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.

7. 30 May 2020 | Modeling Scenarios | Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel

We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

8. 29 May 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

9. 28 May 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

10. 13 May 2020 | Modeling Scenarios | Contributor(s):: Jue Wang

The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. The virus is spreading rapidly. Infectious disease modeling is an essential part of the effort to minimize the spread and help predict the likely course of an epidemic. How can we use...

11. 06 May 2020 | Modeling Scenarios | Contributor(s):: Will Mitchell

We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not necessarily mathematicians).

12. 21 Apr 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

13. 19 Apr 2020 | Modeling Scenarios | Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson

In modern society, creating and disseminating information is easier than ever. While this allows access to information on unprecedented scales, the validity of the information can be difficult to determine. Clickbait, propaganda, misleading headlines, biased news outlets, and social media posts...

14. 19 Apr 2020 | Modeling Scenarios | Contributor(s):: Urmi Ghosh-Dastidar

A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

15. 14 Apr 2020 | Modeling Scenarios | Contributor(s):: Erdi KARA

We will explore a model which describes the process of entry into marriage by an individual. In the model, rate of change in the fraction of the cohort already married will be investigated along with two governing assumptions; social pressure experienced by unmarried individual increases as...

16. 24 Mar 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

We are given data on a falling Styrofoam ball and we seek to model this motion.

17. 07 Mar 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

We model the fall of a piece of ice which is falling from a high building in New York City.

18. 23 Feb 2020 | Modeling Scenarios | Contributor(s):: Lukasz Grabarek

Students will model attrition between two opposing forces using m&m candies. Through experiment and data collection, students will determine the parameters describing the fighting strength of each force, solve the system, arrive at Lanchester's N-square Law and use it to analyze a...

19. 13 Jan 2020 | Modeling Scenarios | Contributor(s):: Eli E Goldwyn

The goal is for students to practice finding and classifying equilibria of a one-variable system in this modeling context while also introducing variables defined on a restricted domain (the circle).

20. 12 Jan 2020 | Modeling Scenarios | Contributor(s):: Terrance Pendleton

We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential equation model.