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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

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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

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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

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164

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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

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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

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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 16–24 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

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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

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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

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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

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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.

vaccine malaria migration eradication seasonality

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2014-Danielsen-Sørensen-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

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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

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2013-Michael-Evans-Growth and Decay

Sometimes, we can describe processes of growth and decay—whether physical, chemical, biological or sociological—by mathematical models.

exponential growth exponential decay isotopes populations resource depletion

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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

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2013-Boscolo-Stellato-Undergraduate study of harmonic and parametric motion of a simple spring-mass system from motion waveforms

In this paper, we describe a laboratory exercise that caters to beginning students while giving those with more background an opportunity to explore more complex aspects of the motion.

laboratory experiment spring mass air friction apparatus waveforms