12 Aug 2018 | Modeling Scenarios | Contributor(s):: Mary Vanderschoot
29 Jul 2018 | Modeling Scenarios | Contributor(s):: Jue Wang
This scenario guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and Gompertz. They examine the behaviors of the...
Kaabar, Mohammed-2018-A First Course in Linear Algebra: Study Guide for the Undergraduate Linear Algebra Course
29 Jul 2018 | Free Online Texts | Contributor(s):: Mohammed K A Kaabar
There are five chapters: Systems of Linear Equations, Vector Spaces, Homogeneous Systems, Characteristic Equation of Matrix, and Matrix Dot Product. It has also exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also...
Kaabar, Mohammed-2018-A Friendly Introduction to Differential Equations
29 Jul 2018 | Free Online Texts | Contributor(s):: Mohammed K A Kaabar
In this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In...
Modeling in Differential Equations Courses – SIMIODE Resources and Community
13 Jul 2018 | Presentations | Contributor(s):: Brian Winkel
Talk presented SIAM ED18 Minisymposium, Portland OR USA, 9-11 July 2018, by Brian Winkel, Director SIMIODE concerning the community and features of SIMIODE.
SIMIODE / SCUDEM-Assessment/Evaluation Plans and Results
13 Jul 2018 | Presentations | Contributor(s):: Jennifer Czocher, Barbara Edwards
Results of assessment and evaluation of SIMIODE workshops 2015 and projected workshop 2018 as well as SCUDEM I 2017 and SCUDEM II 2018 by BARBARA EDWARDS (Oregon State University, Corvallis) JENNIFER CZOCHER (Texas State University, San Marcos) are presented.
SCUDEM 2018 - Student Competition Using Differential Equations Modeling – Organization, Activities, Participation
11 Jul 2018 | Presentations | Contributor(s):: Alexandra Rose Hanson, Laura Nosler, Philip John Nosler, R. Corban Harwood
The Student Competition in Undergraduate Differential Equations Modeling (SCUDEM) is an annual international week-long competition designed to give students experience using differential equations to model real-world scenarios. Each team has a faculty coach, and at each regional competition host...
Engaging in Pedagogical Development, Applied Scholarship, and Professional Service with SIMIODE
11 Jul 2018 | Presentations | 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...