15 Jun 2020 | | Contributor(s):: Tracy Weyand
Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...
30 May 2020 | | Contributor(s):: Lenka Pribylova, Jan Sevcik, Pavel Morcinek, Brian Winkel
We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.
11 Jun 2020 | | Contributor(s):: Tracy Weyand
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are first-order ordinary differential equations (which...
2001-Knisley, Jeff and Lyndell Kerley - Using data to motivate the models used in introductory differential equations.
11 Sep 2017 | | Contributor(s):: Brian Winkel
Knisley, Jeff and Lyndell Kerley. 2001. Using data to motivate the models used in introductory differential equations. PRIMUS. 11(2): 111-123.See https://www.tandfonline.com/doi/abs/10.1080/10511970108965983 .Abstract: Although data is often used to estimate parameters for models in...
2014-Monagan, Michael - The House Warming Model. Department of Mathematics
05 Apr 2020 | | Contributor(s):: Brian Winkel
Monagan, Michael. 2014. The House Warming Model. Department of Mathematics, Simon Fraser UniversitySee http://www.cecm.sfu.ca/~mmonagan/papers/HouseReporter.pdf .Maple commands: s o l v e , c o l l e c t , d s o l v e , o d e p l o t , D E p l o tIntroduction:...
2014-Monagan, Michael - The Mortgage Payment Problem: Approximating a Discrete Process with a Differential Equation
29 Mar 2020 | | Contributor(s):: Brian Winkel
Monagan, Michael. 2014. The Mortgage Payment Problem: Approximating a Discrete Process with a Differential Equation. 5 pages.See http://www.cecm.sfu.ca/CAG/papers/MortgageReporter.pdf .Paper relates logistic equation and mortgage payments and uses Maple code.
2018-Farley, Rosemary and Patrice Tiffany - Time to Change our Traditional Differential Equations
19 Jan 2018 | | Contributor(s):: Patrice Geary Tiffany, Rosemary Carroll Farley
Time to Change our Traditional Differential Equations By Rosemary Farley and Patrice Tiffany, Manhattan College.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings,...
2018-Unknown - The Logistic Differential Equation - Notes
03 Mar 2018 | | Contributor(s):: Brian Winkel
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...
2020-Serrano, Sergio - Differential Equation text using modeling and Maple
11 Apr 2021 | | Contributor(s):: Brian Winkel
We share news of a rich source of materials for undergraduates studying differential equations.DIFFERENTIAL EQUATIONS. Applied Mathematical Modeling, Nonlinear Analysis, and Computer Simulation in Engineering and Science, Sergio E. Serrano, Ph.D.An introduction to ordinary...
2021-Bryan, Kurt - SIMIODE Textbook Code Materials Arranged by Software
04 Jul 2021 | | Contributor(s):: Kurt Bryan
SIMIODE Textbook ResourcesPreambleThe various scripts and routines below are preliminary versions that support the exercises and projects throughout the book, especially those that involve data or large symbolic or numerical computations (they will be "official" in late August...
31 Mar 2019 | | Contributor(s):: Mitaxi Pranlal Mehta
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...
SIMIODE EXPO 2021 - (B1-MR) - Using a Modeling First Approach and Maple in a Traditional Differential Equations Class
28 Feb 2021 | | Contributor(s):: Rosemary Carroll Farley
SIMIODE EXPO 2021 - (B1-MR) How do I Cover the 'Normal' Stuff?Using a Modeling First Approach and Maple in a Traditional Differential Equations ClassRosemary Farley, Manhattan College, Riverdale NY USAThis was a presentation made at the SIMIODE EXPO 2021 -...