Engaging in Pedagogical Development, Applied Scholarship, and Professional Service with SIMIODE
11 Jul 2018 | Contributor(s):: R. Corban Harwood
This talk will give personal examples of the many opportunities available to instructors in engaging with the SIMIODE community. These include being trained in and developing a modeling-first (inquiry-based) pedagogy to improve student learning, incorporating applied mathematics research into...
09 Jun 2018 | Modeling Scenarios | Contributor(s):: Ryan Miller, Randy Boucher
Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...
30 May 2018 | Modeling Scenarios | Contributor(s):: Stanley Florkowski, Ryan Miller
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting...
SCUDEM II 2018 MathBowl Questions and Hints
21 May 2018 | Competitions-SCUDEM
Here is the SCUDEM II 2018 MathBowl. We include both PowerPoint and PDF versions.We include instructions and hints to use.We include a version of SCUDEM II 2018 MathBowl with just the questions as well as blank and filled in answer sheets for use in local events by anyone.Enjoy!
SCUDEM-II-2018 Author Comments
21 May 2018 | Competitions-SCUDEM | Contributor(s):: Brian Winkel
This is a set of comments on the problems for SCUDEM II 2018 and modeling in general by the problem author, Dr. Kelly Black, University of Georgia, Athens GA USA.
SCUDEM III 2018 Local Site Host Coordinator GuideBook
20 May 2018 | General Resources | Contributor(s):: Brian Winkel
We post a SCUDEM III 2018 Local Site Host Coordinator GuideBook. This is a complete description of activities and responsibilities for serving as a Local Site Host Coordinator. It is based on effective and efficient activities for success and lessons learned from SCUDEM I 2017 and SCUDEM II 2018.
20 May 2018 | Modeling Scenarios | Contributor(s):: Steven Morse, Brian Allen, Stanley Florkowski
The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle. This setting allows us to also employ multivariable optimization as a means of model fitting and multivariable integration in the context of...
24 Apr 2018 | Modeling Scenarios | Contributor(s):: Michael Karls
The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top. The system solution is then used to verify...
Scoring Rubric for SCUDEM 2018
18 Apr 2018 | Competitions-SCUDEM | Contributor(s):: Brian Winkel
Here is the Scoring Rubric for the SCUDEM 2018 effort. This will be used for both Exeuctive Summary judging by coach/faculty only and for the Presentation judging by students and coach/faculty.This should give you some guidance on what you should convey in your final materials.
15 Apr 2018 | Modeling Scenarios | Contributor(s):: Brian Winkel
This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.
05 Apr 2018 | Modeling Scenarios | Contributor(s):: Kurt Bryan
This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene: Do bullets moving through water slow as dramatically as depicted in the movies, so that someone a few...
07 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Marguerite Hays
Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical Biosciences. 73: 317-335.ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review...
07 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni
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...
07 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Karam Allali, Adil Meskaf, Abdessamad Tridane
Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13 pagesThis is an open access article distributed under the...
07 Mar 2018 | Potential Scenario Ideas | Contributor(s):: T. Suebchareon
Suebcharoen, T. 2017. Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11 pages.This is an open access article distributed under the Creative Commons Attribution License, which...
03 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Adolfo J. Rumbos
Rumbos, Adolfo J. 2017. Differential Equations and modeling. Lecture Notes. 129 pp.From the PrefaceDifferential equations are ubiquitous in the sciences. The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities...
03 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Unknown
Modeling with First Order EquationsMathematical models characterize physical systems, often using differential equations.Model Construction: Translating physical situation into mathematical terms. Clearly state physical principlesbelieved to govern process. Differential equation is a...
LeakingBucket: Differential Equations in Engineering
03 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Unknown
Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...
The Logistic Differential Equation
03 Mar 2018 | Potential Scenario Ideas
The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...
2016-Camporesi-Impulsive response method using factorization.
03 Mar 2018 | Potential Scenario Ideas | Contributor(s):: Roberto Camporesi
Camporesi, Roberto. 2016. A fresh look at linear ordinary differential equations with constant coefficients. Revisiting theimpulsive response method using factorization. Int. J. Math. Educ. Sci. Technol. 47(1): 82-99Summary: We present an approach to the impulsive response method for solving...