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2020-Clark, William and Anthony Stefan - Modeling Guide and Resources for Student and Coach
25 Jul 2020 | Contributor(s):: William Clark, Anthony Stefan
This is a Modeling Guide for SCUDEM V 2020 and a set of Useful Resources prepared by Anthony Stefan, Florida Institute of Technology, Melbourne FL USA and William Clark, Dixie State University, St. George UT USA serving as Science Gateway Community Institute and SIMIODE Summer 2020...
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2020-Winkel, Brian - Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs
16 Jun 2020 | Contributor(s):: Brian Winkel
We place here all the materials in support of the SIMIODE Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs. This Module is about second order, linear, ordinary differential equations.The class lesson starts with building a model of a spring-mass using...
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2020-Winkel, Brian - Remote Teaching Module - Modeling the Spread of Oil Slick
10 Jun 2020 | Contributor(s):: Brian Winkel
We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling the Spread of Oil Slick.This module contains1) (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...
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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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1-062-S-BacterialGrowth
15 Sep 2018 | | Contributor(s):: Arati Nanda Pati
We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...
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9-001-Text-S-SkinBurnModelNumericalMethods
18 Aug 2018 | | 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...
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1-054-S-GrowthInFarmland
14 Aug 2018 | | 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...
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SCUDEM III 2018 Local Site Host Coordinator GuideBook
20 May 2018 | | 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.
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SCUDEM III 2018 Local Site Host Coordinator Guide Book
05 Jan 2018 | | Contributor(s):: Brian Winkel
For this Group, SCUDEM III 2018 Local Site Host Coordinators, we have prepared a complete SCUDEM III 2018 Local Site Host Coordinator Guide Book of responsibilities and actions necessary for a successful SCUDEM III 2018 event. We know the Guide Book looks large, but there...
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SCUDEM III 2018 Local Site Host Coordinator Guide Book
05 Jan 2018 | | Contributor(s):: Brian Winkel
In this Group, SCUDEM 2018 Local Site Host Coordinators, under Files in SCUDEM2018 LocalSiteHostCoordinator GuideBook you will find a complete Guide Book of responsibilities and actions necessary for a successful SCUDEM 2018 event. We offer it here as a General Resource as...
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SCUDEM III 2018 Local Site Host Coordinator Guide Book
05 Jan 2018 | | Contributor(s):: Brian Winkel
In this Group, SCUDEM 2018 Local Site Host Coordinators, under Files in SCUDEM2018 LocalSiteHostCoordinator GuideBook you will find a complete Guide Book of responsibilities and actions necessary for a successful SCUDEM 2018 event. We offer it here as a General Resource as...
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1-052-S-SaltWaterTanks
27 Nov 2016 | | Contributor(s):: Brian Winkel
We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.
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1-058-S-WaterClocks
26 Nov 2016 | | Contributor(s):: Sania Qureshi, Brian Winkel
We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the water flow out. First, we review the principles and derivation of the applicable physics in...
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1-039-S-StochasticPopModels
11 Sep 2016 | | Contributor(s):: Dan Flath
We offer students the opportunity to develop several strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t. We go further...
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1-036-S-NeutralBuoyancy
03 Jun 2016 | | Contributor(s):: John Thomas Sieben
Things float or they don’t. Well, it’s not quite that simple. In this exercise we lead students through applications of several laws of physics to develop and solve differential equations that will predict where in a water column a weight with an attached lift bag will become...
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1-050-S-BargingAhead
10 Feb 2016 | | Contributor(s):: Timothy Pennings
As captain of a barge, you need to determine how fast to transportyour barge up river against the current in order to minimize the expended energy.Since expended energy is proportional to the force, and since the force is proportional to the speed, traveling too fast is inefficient. However, if...
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2015-MAA CUPM Curriculum Guide - Differential Equations
21 Jul 2015 | | Contributor(s):: Brian Winkel
2015 CUPM Curriculum Guide to Majors in the Mathematical Sciences, Course Area Reports. (Ordinary) Differential Equations.http://www2.kenyon.edu/Depts/Math/schumacherc/public_html/Professional/CUPM/2015Guide/Course%20Groups/OrdDiffeq.pdf
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2015-MAA CUPM - Technology and the Mathematics Curriculum
21 Jul 2015 | | Contributor(s):: Brian Winkel
2015 CUPM Curriculum Guide to Majors in the Mathematical SciencesTechnology and the Mathematics Curriculum, pp. 81-92. http://www.maa.org/sites/default/files/pdf/CUPM/pdf/CUPMguide_print.pdf.
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1-026-S-Evaporation
04 Jun 2015 | | Contributor(s):: Brian Winkel
We provide data (in EXCEL and Mathematica files) on evaporation of 91% isopropyl alcohol in six different Petri dishes and one conical funnel and on evaporation of water in one Petri dish. We ask students to develop a mathematical model for the rate of evaporation for the alcohol mixture...
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1-025-S-MixingItUp
04 Jun 2015 | | Contributor(s):: Brian Winkel
Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.