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## Resources

##### Includes clear efforts on Issues
Modeling Scenario
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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
Modeling Scenario
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##### 6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization Optimal Control Theory insect colony optimal control natural resources Pointryagin's Maximum Principle control variable
Potential Scenario
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##### 2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring constants and masses.
Hangtime Tauberian Identities Road Runner Wile E. Coyote
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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##### 2018-W_Hohenauer-Physical modelling based on first order ODEs
An introduction in techniques to solve first order ODEÂ´s is given. Barometric formula, charging and discharging of a capacitor including its application for AMV, magnetic induction and growth effects are discussed.
discharge capacitor magnetic field induction magnetic induction
Potential Scenario
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##### 2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics predator-prey circuit reaction spring mass pharmacokinetics cooling
Potential Scenario
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##### 2018-Meredith_Greer-Ella_Livesay-Mathematical Epidemiology Goes to College
In this article we present models that were inspired by two real-life outbreaks at a small residential college campus: H1N1 influenza in 2009 and, surprisingly, mumps in 2016.
epidemiology disease H1N1 Influenza outbreak
Potential Scenario
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##### 2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about the mathematics only.
compartment model pharmacokinetics pharmacodynamics orbits turnover
Potential Scenario
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##### 2018-Kovacs-Insperger-Retarded neutral and advanced differential equation models for balancing using an accelerometer
It is shown that slight modeling differences lead to significant qualitative change in the behavior of the system, which is demonstrated by means of the stability diagrams for the different models.
feedback Accelerometers functional differential equations semi-discretization D-subdivision method
Potential Scenario
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##### 2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from smokers in different type of population.
asthma tobacco smoke Liaoâ€™s Homotopy analysis Method ( environmental pollutants
Potential Scenario
153

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##### 2018-Hu-Huang-Dynamic Regulation Responding to an External Stimulus
This study examines the dynamic regulation process responding to an external stimulus. This study introduces the driven damped oscillator model which has an additional parameter to identify different patterns of the steady state.
dynamical systems regulation steady state sales model external stimulus
Potential Scenario
40

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##### 2018-Franklin_Chen-Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model
This kinetics manual has been successfully implemented in Physical Chemistry at UW-Green Bay in the fall semester of 2017, with the studentsâ€™ success rate greater than 80%.
kinetics Physical Chemistry Lotka Volterra equations Berkeley Madonna platform
Potential Scenario
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##### 2018-David_Bourne-Pharmacokinetics â€“ Source Material
This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.
bolus pharmacokinetics pharmacodynamic drug distribution
Potential Scenario
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5