## Tags: order

### Resources (81-100 of 119)

1. 07 Apr 2016 | | Contributor(s):: Rachelle DeCoste, Rachel Bayless

This activity is a gentle introduction to modeling via differential equations. The students will model the rate at which the word jumbo has propagated through English language texts over time.

2. 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...

3. 27 Feb 2016 | | Contributor(s):: Brian Winkel

There are three videos associated with this Modeling Scenario and all are available on SIMIODE YouTube Channel: Capture-3 YouTube Version SlowMoCapture-1 YouTube Version SlowMoCapture-2 YouTubeVersion and as streaming videos or down loads in this Modeling Scenario under the Supporting Docs Tab...

4. 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...

5. 24 Dec 2015 | | Contributor(s):: Eric Sullivan, Elizabeth Anne Carlson

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...

6. 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.

7. 21 Sep 2015 | | Contributor(s):: John Thoo

John  Thoo, Department of Mathematics and Statistics, Yuba College, offers detailed narrative review on his use of this material

8. 26 Jun 2015 | | Contributor(s):: C. H. F. Bulte

Bulte, C. H. F. 1992. The differential equation of the deflection curve. International Journal of Mathematical Education in Science and Technology. 23(1): 5-63.See https://www.tandfonline.com/doi/abs/10.1080/0020739920230106 .Article Abstract:  This paper presents the derivation...

9. 26 Jun 2015 | | Contributor(s):: Michael C. Mackey, Leon Glass, William Clark

Mackey,  Michael C. and Leon Glass. 1977. Oscillation and Chaos in Physiological Control Systems. Science. 197: 287-289.See https://www.science.org/doi/abs/10.1126/science.267326 .Article Abstract: First-order nonlinear differential-delay equations describing physiological control...

10. 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...

11. 22 Jun 2015 | | Contributor(s):: Alexander Panfilov

Panfilov, Alexander. 2010. Qualitative Analysis of Differential Equations. 2010. Theoretical Biology, Utrecht University. 116 pp. http://www-binf.bio.uu.nl/panfilov/bioinformatica/bioinf10.pdf . Accessed 22 June 2015.This is a set of notes with derivations, motivating illustrations,...

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

Winkel, B. J.  2010.  Parameter estimates in differential equation models for chemical kinetics. International Journal of Mathematical Education in Science and Technology.  42(1):  37- 51.See https://www.tandfonline.com/doi/abs/10.1080/0020739X.2010.500806...

13. 06 Jun 2015 | | Contributor(s):: Karen Bliss

Adapted from 1-11-Kinetics, SIMIODE modeling scenario.  We help students see the connection between college level chemistry course work and their differential equations coursework.  We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and...

14. 04 Jun 2015 | | Contributor(s):: Brian Winkel

We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.  We work to build our model of random events which...

15. 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...

16. 04 Jun 2015 | | Contributor(s):: Brian Winkel

Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.

17. 04 Jun 2015 | | Contributor(s):: Brian Winkel

We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation. The data shows and the intrinsic growth rates confirm that the false rumor spread faster than true rumor.

18. 04 Jun 2015 | | Contributor(s):: Brian Winkel

We offer up the claim of a store catalog  that   its ice ball mold allows users to  "... make ice balls that outlast cubes and won't water drinks down."  We ask students to build a mathematical model to defend or contradict this claim.

19. 04 Jun 2015 | | Contributor(s):: Brian Winkel

We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining the validity of the logistic  model in these situations.

20. 04 Jun 2015 | | Contributor(s):: Brian Winkel

We offer a physical situation, using a grid and M and M candies, to simulate the spread of disease. Students conduct the simulation and collect the data which is used to estimate parameters (in several ways)  in a differential equation model for the spread of the disease. Students ...