## Resources: All

Find a resource
1. 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...

2. 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...

3. 22 Apr 2018 | Competitions-SCUDEM | Contributor(s): Brian Winkel

Here are the SCUDEM II 2018 MathBowl questions, hints, answers, and score sheets.   For registered SIMIODE members in the Teachers Group, we post MathBowl answers with a MathBowl version with questions followed by answers to use in review after any competititve use. We include...

4. 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.

5. 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.

6. 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.

7. 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...

8. 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...

9. 16 Mar 2018 | Modeling Scenarios | Contributor(s): Brian Winkel

We offer an opportunity to model the height of a falling body of water in a right circular cone (funnel) and to estimate an appropriate parameter based on data collected from a video of the experiment found on YouTube. This is an application of Torricelli's Law.

10. 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...

11. 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...

12. 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...

13. 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...

14. 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...

15. 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...

16. 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...

17. 03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Pavithra Sivakumar, Lakshmanan Rajendran

Sivakumar, Pavithra and  Lakshmanan Rajendran. 2012.  Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste. Applied Mathematics. 5(1): 7-14.Abstract: The initial value problem in a kinetic model for biogas generation from...

18. 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...

19. 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...

20. 03 Mar 2018 | Free Online Texts | Contributor(s): Russell L. Herman

Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a self-published text book with excellent coverage and solid mathematics and theory to support...