## Tags: Open-ended

### All Categories (1-20 of 20)

1. 29 May 2020 | | 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.

2. 15 Dec 2018 | | Contributor(s):: Brian Winkel

We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

3. 26 Aug 2017 | | Contributor(s):: Brian Winkel

We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

4. 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.

5. 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.

6. 23 Jul 2016 | | Contributor(s):: Brian Winkel

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

7. 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.

8. 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...

9. 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...

10. 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.

11. 04 Jun 2015 | | Contributor(s):: Brian Winkel

We offer a problem of determining the necessary drug administration in order to keep a dogsedated with specific information on half-life for an exponentially decaying presence of the drug in the body.

12. 03 Jun 2015 | | Contributor(s):: Brian Winkel

We present several situations in which differential equation models serve to aid in sleuthing and general investigations. One involves initial speed given information about constant deceleration and distance to stop in traffic incident; one involves modeling a steel ball launched vertically and...

13. 02 Jun 2015 | | Contributor(s):: Brian Winkel

Students are asked to determine the time of death given both environmental temperature situations and two observations of body temperature under several different circumstances.

14. 02 Jun 2015 | | Contributor(s):: Brian Winkel

We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.

15. 31 May 2015 | | Contributor(s):: Brian Winkel

We describe two situations (Pa) one in which we are saving for a purpose and (2) one in which we are borrowing for a purpose.  In the first case we ask for discrete and continuous model of the situation and in the second case we ask that the results of the model be used to examine some...

16. 30 May 2015 | | Contributor(s):: Brian Winkel

We present a situation in which a chemistry graduate student is assigned the  task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not keep track of...

17. 30 May 2015 | | Contributor(s):: Brian Winkel

We present a situation in which a chemistry graduate student is assigned the  task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, she only collects the data at the start and end of a number of ten minute intervals and does not keep track of when...

18. 30 May 2015 | | Contributor(s):: Karen Bliss

19. 30 May 2015 | | Contributor(s):: Brian Winkel

We describe a modeling activity for students in  which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...

20. 12 May 2015 | | Contributor(s):: Brian Winkel

We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.