Tags: Open-ended

All Categories (1-20 of 20)

  1. 3-026-S-SpringInverseProblem

    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. 1-063-S-ThreeHoleColumn

    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. 1-043-S-CoolingUpAndDown

    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. 1-059-S-ContainerShapeFallingWater

    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. 1-044-S-CollegeBound

    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. 1-051-S-OneTankSaltModel

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

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

  7. 1-028-S-SouthernSweetIcedTea

    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. 1-029-S-ConeToCubeFlow

    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. 1-021-S-FeralCatControl

    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. 1-022-S-SpreadOfTechnology

    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. 1-016-S-DogDrugs

    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. 1-013-S-Sleuthing

    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. 1-045-S-TimeOfDeath

    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. 1-040-S-OutcomeSavings

    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. 1-006-S-FinancingSavingsAndLoans

    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. 1-005B-S-ChemDataCollection

    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. 1-005A-S-ChemDataCollection

    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. 1-005A-S-OilSlick

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

  19. 1-005-S-OilSlick

    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. 1-003-S-CollegeSavings

    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.