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1. 06 Apr 2020

2019-Hu-ModellingLongitudinalDataWithDEsHu,Yueqin and Raymond Treinen. 2019.  A one-step method for modelling longitudinal datawith differential equations. British Journal of Mathematical and Statistical Psychology. 72: 38–60Abstract: Differential equation models...

2. 24 Mar 2020

2018-Reed-Mathematical Models of Mosquito PopulationsReed, Hanna. 2018. Mathematical Models of Mosquito Populations. University of Central Florida.Honors Theses. 38 pp.ABSTRACTThe intent of this thesis is to develop ordinary differential equation models to better understandthe...

3. 20 Mar 2020

2017-Ballard-Dice Activities for DE ModelsIntroduction: This document includes descriptions of four activities that are appropriate for a calculus or differential equations class, all using dice to motivate a differential equation model for a real-world scenario. Each can be used either...

4. 15 Mar 2020

2006-MacWilliams-Developing ODES To DescribePaperHelicopterMacWilliams, Matt. 2006.  Developing Ordinary Differential Equations to Describe the Motion of a Paper Helicopter. The Review: A Journal of Undergraduate Student Research. 8(8): 33-42.Abstract: Since George...

5. 02 Sep 2019 | Modeling Scenarios

Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...

6. 31 Aug 2019 | Modeling Scenarios

Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom).  Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.  Finally, students solve the...

7. 28 Apr 2019 | Modeling Scenarios

In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

8. 04 Mar 2019 | Modeling Scenarios

We offer students an opportunity to generate unique data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the parameters and try to explain how the simulation...

9. 03 Mar 2019 | Modeling Scenarios

In this validation-oriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared to...

10. 07 Mar 2018 | Potential Scenario Ideas

Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...

11. 19 Jan 2018 | Presentations

Experience and Lessons Learned from Using SIMIODE Modeling ScenariosBy Wandi Ding, Ryan Florida, Jeffrey Summers, Puran Nepal, Middle Tennesse State UniversityA talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at...

12. 19 Jan 2018 | Presentations

The Logic of LogisticsBy Bill Skerbitz, Wayzata High SchoolA talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13 January 2018

13. 18 Jan 2018 | Presentations

Comparing Simulations with Solutions for Classical Differential Equation Models By Daniel J. Teague, North Carolina School of Science and Mathematics  A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at...

14. 28 Nov 2017 | Potential Scenario Ideas

Busch, Julian. 2012. Continuous simulation with ordinary differential equations.  PowerPoint slides. 41 slides.This is a talk given with emphasis on differential equations and numerical methods leading to application for N-body simulation. Keyword: differential equation, N-body,...

15. 09 Sep 2017 | Potential Scenario Ideas

Wedenberg, Minna. 2005. Pharmacokinetic modeling of gastric emptying and small intestinal transit time in dogs using paracetamol and sulfasalazine as markers. Master’s Degree Project.  Uppsala Universitet. 41 pp.From the introductionThe development of new drug substances is a complex,...

16. 08 Sep 2017 | Potential Scenario Ideas

Wilensky, U. and K. Reisman. 2006. Thinking Like a Wolf, a Sheep, or a Firefly: Learning Biology Through Constructing and Testing Computational Theories--an Embodied Modeling Approach. Cognition Instruction. 24(2): 171-209.Abstract:Biological phenomena can be investigated at multiple...

17. 03 Sep 2017 | Potential Scenario Ideas

Erdman, Donald  (SAS Institute Inc., Cary, NC) and  Maurice M. Morelock, (Boehringer Ingelheim Pharmaceuticals). 1996.   A Study of Kinetics: The Estimation and Simulation of Systems of First-Order Differential...

18. 30 Nov 2016 | Modeling Scenarios

This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example. In groups, students run repeated simulations, collect data, derive a differential...

19. 19 Sep 2016 | Free Online Texts

Wilson, H. R. (1999) Spikes, Decisions & Actions: Dynamical Foundations of Neuroscience, Oxford University Press, Oxford UK. 324 pp.This text is offered freely by the author at the  http://cvr.yorku.ca/webpages/wilson.htm#book .In the preface to the book the author offers a rationale for...

20. 24 Dec 2015 | Modeling Scenarios

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...