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## Resources

##### Includes clear efforts on Issues
Modeling Scenario
49

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##### 1-015-Torricelli-ModelingScenario
We help students develop a model (Torricelli's Law) for the height of a falling column of water with a small hole in the container at the bottom of the column of water through which water exits the column.
data Spanish tank column of water aperture Torricelli's Law Conservation of Energyt Solver water flow Excel Solver
Technique Narrative
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##### 1-015-DimensionlessVariables-TechniqueNarrative
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's.
linearization dimensional analysis time scale scaling dimensionless variables spatial scale
Potential Scenario
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##### 2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum
We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.
projects technical writing interdisciplinary skills
Potential Scenario
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##### 2017-Jun_Liu-Hammer Throwing parameters optimization model research based on flight dynamical differential equation
With progress of times, sports techniques are also rapidly developing, in order to let Chinese hammer throwers more quickly improve themselves levels.
sports projectile hammer throw release angle
Potential Scenario
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##### 2017-GR_Gustafson-Differential Equations Course Materials
There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices,...
chemostat microbes biomass forecasting transfer compartment pesticides earthquake tank heating lidocaine brine heartbeats nutrient flow aquarium electric networks circuits logging building cascade
Potential Scenario
15

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##### 2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
We examine the dynamics of gambling among young people aged 16â€“24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention and control strategies.
reproductive number Gambling epidemic sensitivity index youth gambling
Potential Scenario
4

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##### 2015-The European Bioinformatics Institute-BioModels Database
BioModels Database is a repository of computational models of biological processes. Models described from literature are manually curated and enriched with cross-references.
computational biology BioModels Database bio database life science experiments
Potential Scenario
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##### 2006-Michael_Coleman-Population Modeling with Ordinary Differential Equations
We will investigate some cases of differential equations population models beyond the separable case and then expand to some basic systems of ordinary differential equations.
population dynamics
Potential Scenario
4

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##### 2014-Patel-Schlijper-Models of Consumer Behavior
The problem posed to the Study Group was to construct models for consumer behaviour that might be useful in tools for brand management in markets for fast-moving consumer goods.
consumer behavior market share
Potential Scenario
5

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##### 2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.
Potential Scenario
4

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##### 2014-Danielsen-SÃ¸rensen-Using authentic sources in teaching logistic growth
This 12 page offering develops issues and questions about using historical materials to motivate mathematics study and develops 9 very rich exercises
real data logistic historical materials
Potential Scenario
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##### 2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive
In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population.
epidemiology dynamical systems zombies bifurcation perturbation
Potential Scenario
4

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##### 2013-Michael-Evans-Growth and Decay
Sometimes, we can describe processes of growth and decayâ€”whether physical, chemical, biological or sociologicalâ€”by mathematical models.
exponential growth exponential decay isotopes populations resource depletion
Potential Scenario
4

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##### 2013-Kose-Kunze-Climate Modeling in the Calculus and Differential Equations Classroom
We introduce here the basic principles of climate science for a one-dimensional Energy Balance Model (EBM),
climate change Energy Balance Models ice albedo
Potential Scenario
3

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