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1-005C-S-OilSlick
17 Jan 2022 | | Contributor(s):: Jennie D'Ambroise
We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate. This model enlightens students as to how derivatives are used in applications as well as a brief introductory encounter with parameter estimation for a linear,...
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SCUDEM III 2018 - Author Commentary on Problems and Submissions
06 Jan 2019 | | Contributor(s):: KELLY BLACK
The Fall 2018 SIMIODE Challenge Using Differential Equations Modeling (SCUDEM III 2018) featured three problems. Some observations of the work submitted by the student teams is given here. It is assumed that the reader is familiar with the three problems which are available on the SIMIODE website.
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SCUDEM III 2018 PROBLEMS AND SUPPLEMENTAL MATERIALS
23 Nov 2018 | | Contributor(s):: Brian Winkel
SCUDEM III 2018 PROBLEMS AND SUPPLEMENTAL MATERIALSIn addition to Problems and Team Submissions (see Supplemental Docs Tab) you can see MathBowl materials and Faculty Development Workshop materials used on Challenge Saturday, 27 October 2018. Just click on the title you want above. Faculty...
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SCUDEM II 2018 Modeling Problems and Team Submissions
10 Feb 2018 | | Contributor(s):: Brian Winkel
SCUDEM II 2018 PROBLEMS AND SUPPLEMENTAL ISSUESHere you will find one PDF document, SCUDEM II 2018 Problems A B C.pdf - as black box Download pdf above, containing all three of the Modeling Problems for use in SCUDEM II 2018, along with a reference paper for one of the problems....
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2017-Emerson, Bruce - Wonderful World of Differential Equations
11 Sep 2017 | | Contributor(s):: Brian Winkel
Wonderful World of Differential Equations. Notes. 52 pp. http://coccweb.cocc.edu/bemerson/PhysicsGlobal/Courses/PH213/PH213Learning/PH213WebR/documents/DiffEqIntro.pdf . Accessed 11 September 2017.This is a terrific set of noted with models and applications woven into the material at...
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2016-aynter, Jonathan and George Hughbanks - Teaching Math Modeling: Emphasizing the Transform Step with MicroProjects
06 Sep 2016 | | Contributor(s):: Jonathan Paynter, George Hughbanks
This paper describes and evaluates an effort to improve first-year college math students’ ability to quantitatively setup a mathematical model given an ill-defined problem. Six specific assignments were created for a treatment group of 70 students as part of a course of 250 students. Grade...
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2016-Winkel, Brian - Complex, Technology-Based Problems in Calculus
09 Aug 2016 | | Contributor(s):: Brian Winkel
This presentation was offered at the MAA MathFest, Columbus OH, 4 August 2016 at Themed Contributed Paper Session #4, CAMP-Calculus Applied Mathematics Projects.We revisit a rich set of problems for calculus involving applications to reality using technology at...
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1-020-S-IceMelt
04 Jun 2015 | | Contributor(s):: Brian Winkel
We offer up the claim of a store catalog that its ice ball mold allows users to "... make ice balls that outlast cubes and won't water drinks down." We ask students to build a mathematical model to defend or contradict this claim.
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5-001-S-LSDAndProblemSolving
02 Jun 2015 | | Contributor(s):: Brian Winkel
We ask students to build differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature. We offer students the opportunity to build a model to fully analyze the administration and absorption of LSD in 8 student volunteers. We also...
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1-005B-S-ChemDataCollection
30 May 2015 | | Contributor(s):: Brian Winkel
We present a situation in which a chemistry graduate student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not keep track of...
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1-005A-S-ChemDataCollection
30 May 2015 | | Contributor(s):: Brian Winkel
We present a situation in which a chemistry graduate student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, she only collects the data at the start and end of a number of ten minute intervals and does not keep track of when...
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1-005A-S-OilSlick
30 May 2015 | | Contributor(s):: Karen Bliss
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1-005-S-OilSlick
30 May 2015 | | Contributor(s):: Brian Winkel
We describe a modeling activity for students in which modeling with difference and differential equations is appropriate. We have used this model in our coursework for years and have found that it enlightens students as to the model building process and parameter estimation for a ...