19 Apr 2020 | | 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...
14 Aug 2019 | | Contributor(s):: Eli E Goldwyn
The scenario uses an Inquiry Based Learning approach to walk the students through the creation and understanding of a differential equation describing how fluid in a water bottle will change its temperature to approach the ambient temperature in a room. The goal is for the students to understand...
27 Apr 2019 | | Contributor(s):: Brian Winkel
We build a mathematical model for the rate at which drying takes place in a cloth wet with water while hanging in air. A model can be based on underlying physical principles. Such a model is called an analytic model. Or your model could be based on observations and reasoned terms in your...
2014-Merwin, Katelyn - Analysis of a Partial Differential Equation and Real World Applications Regarding Water Flow in the State of Florida - Thesis
09 Sep 2017 | | Contributor(s):: Brian Winkel
Merwin, Katelyn. 2014. Analysis of a Partial Differential Equation and Real World Applications Regarding Water Flow in the State of Florida. Thesis. Embry-Riddle Aeronautical University. McNair Scholars Research Journal. Vol. 1, Article 8.Available at:...
17 Apr 2017 | | Contributor(s):: Brian Winkel
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow from a container.
17 Apr 2017 | | Contributor(s):: Brian Winkel
We offer an experiment in which data is collected to ascertain a parameter in the differential equation formulation of Torricelli's Law for water flow out of a cylindrical container.
26 Nov 2016 | | Contributor(s):: Sania Qureshi, Brian Winkel
We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the water flow out. First, we review the principles and derivation of the applicable physics in...
04 Mar 2016 | | Contributor(s):: Brian Winkel
This is a study of modeling a falling object in liquid. We provide a video (in two versions - .mov and .mp4) which will enable you to collect data on a falling object in water to compare with your model and to estimate parameters using data you can collect from the video. VIDEO Version 1 -...
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...
2006-Ashline, George and Joanna Ellis-Monaghan - How high? How fast? How long? Modeling water rocket flight with calculus.
25 Jun 2015 | | Contributor(s):: Joanna Ellis-Monaghan, George Ashline
Ashline, George and Joanna Ellis-Monaghan. 2006. How high? How fast? How long? Modeling water rocket flight with calculus. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 16(2): 121-137.See https://www.tandfonline.com/doi/abs/10.1080/10511970608984140...
2015-Goodnow, Jennifer, Richard Orr, and David Ross - Mathematical Models of Water Clocks.
25 Jun 2015 | | Contributor(s):: Jennifer Goodenow, Richard Orr, David Ross
Goodnow, Jennifer, Richard Orr, and David Ross. 2015. Mathematical Models of Water Clocks. 18 pp. http://www.nawcc-index.net/Articles/Goodenow-WaterClocks.pdf . Accessed 22 May 2015. Mathematics, Rochester Institute of Technology, Rochester NY USA.This is a historical tour of...
04 Jun 2015 | | Contributor(s):: Brian Winkel
We provide data (in EXCEL and Mathematica files) on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of evaporation for the alcohol mixture...
02 Jun 2015 | | Contributor(s):: Brian Winkel
We offer data on the temperature of water in a beaker which resides in a room of constant temperature and also in an environment of nonconstant temperature. Students are encouraged to consider both empirical and analytic modeling approaches. We offer additional data sets in Excel spreadsheets...