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1. 20 Aug 2018 | Modeling Scenarios | Contributor(s):: Jue Wang

This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of...

2. 18 Aug 2018 | Technique Narratives | Contributor(s):: Swarn Singh

It is not always possible to solve a differential equation analytically.This material makes an effort to teach the basics of numerical methods for first order differential equations by following graphical and numerical approaches. Here we also discuss the order of accuracy of the methods and...

3. 18 Aug 2018 | Technique Narratives | Contributor(s):: Suruchi Singh

The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Here we learn to solve a heat equation numerically. It is difficult to study the behavior of temperature in problems with interfaces analytically so...

4. 18 Aug 2018 | Modeling Scenarios | Contributor(s):: Natali Hritonenko

The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...

5. 17 Aug 2018 | Modeling Scenarios | Contributor(s):: Therese Shelton

We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This activity can be used to introduce compartmentalized...

6. 15 Aug 2018 | Modeling Scenarios | Contributor(s):: Therese Shelton

We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a reaction in the language of pharmacokinetics -- the study of how drugs move in the body. This simple activity can be used to introduce differential equations, and it can...

7. 15 Aug 2018 | Modeling Scenarios | Contributor(s):: Therese Shelton

We model the amount of aspirin absorbed by the human body at a constant rate. This is a ``zero-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body. This simple activity can be used to introduce differential equations and it can be used to...

8. 15 Aug 2018 | Modeling Scenarios | Contributor(s):: Shinemin Lin

In this project we use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel.

9. 14 Aug 2018 | Modeling Scenarios | Contributor(s):: Richard Spindler

An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...

10. 12 Aug 2018 | Modeling Scenarios | Contributor(s):: Meredith Greer

11. 12 Aug 2018 | Modeling Scenarios | Contributor(s):: Mary Vanderschoot

12. 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...

13. 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...

14. 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...

15. 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.

16. 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.

17. 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...

18. 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...

19. 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...

20. 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...