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# SIMIODE

## Resources

##### Includes clear efforts on Issues
Modeling Scenario
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##### 1-038-Ebola-ModelingScenario
Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the modeling process to the logistic growth model.
population dynamics data analysis exponential growth Ebola logistic epidemic
Modeling Scenario
390

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154

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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
Modeling Scenario
448

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302

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##### 3-061-ChemEngApps-ModelingScenario
Students go through a chemical engineering problem: calculate concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation; then analyze the concentration as the radius of the catalyst...
Spanish porous medium catalyisis cyclohexene hydrogel dehydrogenation hyperbolic trig functions
Modeling Scenario
478

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2362

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##### 5-001-LSD-ModelingScenario
We describe the use of a two compartment model of a linear system of first order linear differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature.
LSD Spanish compartment pharmacokinetics lysergic acid diethylamide
Modeling Scenario
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312

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##### 1-030-EyeModel-ModelingScenario
We offer a mathematical modeling experience using differential equations to model the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region of the retina.
retinal surgery Akaike Information Criterion Spanish sum of square errors surgery retiona ophthalmology eye intraocular gas bubble
Modeling Scenario
262

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69

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##### 1-005-OilSlick-ModelingScenario
We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order, non-homogeneous, ordinary differential equation.
model fitting spreadsheets Spanish derrame de petrÃ³leo datos expansiÃ³n oil slick
Modeling Scenario
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116

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##### 1-007-AntTunnelBuilding-ModelingScenario
We pose the prospect of modeling just how long an ant takes to build a tunnel. With a bit of guidance students produce a model for the time it takes to build a tunnel of length x into the side of a damp sandy hill.
Spanish hormiga tÃºnel ant tunnel
Modeling Scenario
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51

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##### 1-008-HangTime-ModelingScenario
We present a modeling opportunity for students in which they model the vertical position of a basketball player taking a jump shot. The goal of the scenario is to get students to consider the meaning of the notion ``hang-tune.''
gravity hang tim Newton's Second Law of Motion jump shot
Modeling Scenario
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483

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##### 3-065-UpDown-ModelingScenario
We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and terminal velocity.
terminal velocity Newton's Second Law of Motion velocity motion apex
Modeling Scenario
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56

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##### 1-145-FastPitch-ModelingScenario
We consider the problem of comparing pitch velocities using measurement methods in different eras of baseball.
Measurement resistance air resistance baseball pitcher fast
Technique Narrative
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46

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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
Technique Narrative
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34

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##### 7-006-LaplaceTransformBirth-TechniqueNarrative
We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.
Transformations power series
Technique Narrative
132

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35

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##### 5-030-LinNonHomoSystemSol-TechniqueNarrative
We offer strategies for solving linear systems of nonhomogeneous differential equations using a conjectured solution strategy for a system of constant coefficient, linear, n
strategies discovery learning eigenvectors eigenvalue
Technique Narrative
119

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30

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##### 5-012-LinearSystemConjecture-TechniqueNarrative
Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing eigenvalues and eigenvectors through student...
discovery learning conjecture solution substitution
Technique Narrative
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