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3-099-S-PullBack
03 Aug 2021 | | Contributor(s):: Brody Dylan Johnson
This hands-on modeling scenario guides students through the development of an empirical model for the velocity and distance traveled of a simple pull-back toy. Students can record videos and extract data using their own pull-back toy or use data included in the student version. Two different...
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Paula Grafton Young
Professor of MathematicsChair, Department of Mathematics and Computer ScienceDirector, Center for Teaching Excellence and InnovationSalem College
https://www.simiode.org/members/5554
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Jeremy Schiff
https://www.simiode.org/members/5473
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Andrew Paul Eden
https://www.simiode.org/members/5106
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3-027-S-BobbingDropping
10 Jul 2020 | | Contributor(s):: Brian Winkel
We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.
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2020-Winkel, Brian - Remote Teaching Module - Modeling a Falling Column of Water
07 Jun 2020 | | Contributor(s):: Brian Winkel
{xhub:include type="stylesheet" filename="pages/resource.css"}{xhub:include type="stylesheet" filename="pages/scudem-accordion.css"}We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling the Falling Column of Water.This module...
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1-128-S-RocketFlight
04 Jun 2020 | | Contributor(s):: Brian Winkel
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its fall to earth.
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3-026-S-SpringInverseProblem
29 May 2020 | | Contributor(s):: Brian Winkel
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.
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2006-Chaachoua, Hamid and Ayse Saglam - Modelling by differential equations
04 Apr 2020 | | Contributor(s):: Brian Winkel
Chaachoua, Hamid and Ayse Saglam. 2006. Modelling by differential equations. Teaching Mathematics and its Applications: An International Journal of the IMA. 25(1): 15–22.See https://academic.oup.com/teamat/article-abstract/25/1/15/1681312 .Abstract: This paper aims to show...
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2003-Bohren, Craig F - Dimensional analysis, falling bodies, and the fine art of not solving differential equations
13 Mar 2020 | | Contributor(s):: Brian Winkel
Bohren, Craig F. 2003. Dimensional analysis, falling bodies, and the fine art of not solving differential equations. Am. J. Physics. 72(4): 534-537.See http://pages.erau.edu/~reynodb2/ps303/Bohren_2004_AJP_DimensionalAnalysis.pdf .Abstract: Dimensional analysis is a simple,...
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Lester Ingber
Prof. Lester Ingber has published over 100 papers and books in theoretical physics, neuroscience, finance, optimization, combat analysis, karate, and education. Through Lester Ingber Research (LIR)...
https://www.simiode.org/members/4402
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9-020-S-HeatDiffusion
14 Oct 2019 | | Contributor(s):: Kimberly Spayd, James Puckett
This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...
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3-011-S-EulerBallThrowing
19 Aug 2019 | | Contributor(s):: Chris McCarthy
If a tennis ball is thrown through the air it will eventually hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will maximize the distance the ball lands from the thrower taking into account air...
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1-063-S-ThreeHoleColumn
15 Dec 2018 | | Contributor(s):: Brian Winkel
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.
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Caleb Monoran
I am an undergraduate at Idaho State University seeking to obtain a dual major degree in Mathematics and Physics. I've had a strong passion for mathematics since my 8th grade, when I first...
https://www.simiode.org/members/3206
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2018-Pennington, Nathan - Modeling in an Integrated Mathematics and Physics Course
19 Jan 2018 | | Contributor(s):: Nathan Pennington
Modeling in an Integrated Mathematics and Physics CourseBy Nathan Pennington, Creighton University. 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, San Diego CA,...
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2007-Chern, I-Liang - Mathematical Modeling and Differential Equations. Notes.
11 Sep 2017 | | Contributor(s):: Brian Winkel
Chern, I-Liang. 2007. Mathematical Modeling and Differential Equations. Notes. 223 pp.See http://www.math.ntu.edu.tw/~chern/notes/ode2015.pdf . Accessed 10 September 2017.From the first chapter,In science, we explore and understand our real world by observations, collecting...
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1-043-S-CoolingUpAndDown
26 Aug 2017 | | Contributor(s):: Brian Winkel
We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.
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Celso Melchiades Doria
I was a Full Professor at the Mathematics Department of the Federal University of Santa, Brazil. Since 2019 I am retired, though I am still lecturing, guiding graduate students and doing research...
https://www.simiode.org/members/1910
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Fitzpatrick, Richard-2011-Newtonian Dynamics
05 Mar 2017 | | Contributor(s):: Brian Winkel
Author: Fitzpatrick, RichardDate of Publication: Accessed on 5 March 2017Title: Newtonian DynamicsLocation: http://farside.ph.utexas.edu/teaching/336k/Newton.pdfRichard Fitzpatrick is a Professor of Physics at The University of Texas at Austin, Austin TX USA with a passion for...