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6-026-S-FakingGause
30 Oct 2020 | Modeling Scenarios
We use a fake or toy data set to permit discovery of the parameters in a two population protozoan model used to study paramecium and yeast competiton in the 1930's studies of G.~F.~Gause in the Soviet Union.
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1-119-S-DairyFarming
20 Sep 2020 | Modeling Scenarios
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.
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3-105-S-FrequencyResponse
22 Jul 2020 | Modeling Scenarios
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
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3-105-S-FrequencyResponse
22 Jul 2020 | Modeling Scenarios
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
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3-027-S-BobbingDropping
10 Jul 2020 | Modeling Scenarios
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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1-136-S-MarriageAge
11 Jun 2020 | Modeling Scenarios
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...
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1-124-S-WorldPopulation
30 May 2020 | Modeling Scenarios
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.
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3-026-S-SpringInverseProblem
29 May 2020 | Modeling Scenarios
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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5-010-S-DNADegradation
21 Apr 2020 | Modeling Scenarios
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...
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5-010-S-DNADegradation
21 Apr 2020 | Modeling Scenarios
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...
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6-045-S-CholeraTranmission
19 Apr 2020 | Modeling Scenarios
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...
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6-045-S-CholeraTranmission
19 Apr 2020 | Modeling Scenarios
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...
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Transient and Steady State response in RC or RL circuits
16 Apr 2020 | Presentations
Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...
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Transient and Steady State response in RC or RL circuits
16 Apr 2020 | Presentations
Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...
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2019-Elishakoff-DifferentialEquationsLoveANDLoveDifferentiaEquations
06 Apr 2020 | Potential Scenario Ideas
2019-Elishakoff-DifferentialEquationsLoveANDLoveDifferentiaEquationsElishakoff, Isaac. 2019. Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 1-22 SynopsisIn this paper, simple ordinary differential...
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2014-WronaEtAl-Two-compartmentModelAsTeachingToolForCholesterolHomeostasis
06 Apr 2020 | Potential Scenario Ideas
2014-WronaEtAl-Two-compartmentModelAsTeachingToolForCholesterolHomeostasisWrona, Artur, Joanna Balbus, Olga Hrydziuszko, and Krystian Kubica. 2015. How We Teach: Classroom And Laboratory Research Projects -- Two-compartment model as a teaching tool for cholesterol homeostasis. Adv...
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2013-DontwiEtAl-ModelingMemorizationAndForgetfulnessUsingDE
05 Apr 2020 | Potential Scenario Ideas
2013-DontwiEtAl-ModelingMemorizationAndForgetfulnessUsingDEDontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11. Available from...
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2013-DontwiEtAl-ModelingMemorizationAndForgetfulnessUsingDE
05 Apr 2020 | Potential Scenario Ideas
2013-DontwiEtAl-ModelingMemorizationAndForgetfulnessUsingDEDontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11. Available from...
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2012-Obenb-DentehEtAl-ModelingStudentAffinityForLecture
05 Apr 2020 | Potential Scenario Ideas
2012-Obenb-DentehEtAl-ModelingStudentAffinityForLectureObeng-Denteh1, W., Odum Kodua-Nana1, S. Owusu Ansah1, R. Kwame Ansah1 and Alex Quashie Nyamadu. 2012. Modelling Students’ Affinity for Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University...
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2012-Obenb-DentehEtAl-ModelingStudentAffinityForLecture
05 Apr 2020 | Potential Scenario Ideas
2012-Obenb-DentehEtAl-ModelingStudentAffinityForLectureObeng-Denteh1, W., Odum Kodua-Nana1, S. Owusu Ansah1, R. Kwame Ansah1 and Alex Quashie Nyamadu. 2012. Modelling Students’ Affinity for Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University...