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SIMIODE EXPO 2024
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Downloads
Views
Date
Relevance
Modeling Scenario
850
views
1054
downloads
0
comments
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
1077
views
5234
downloads
0
comments
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
1217
views
702
downloads
0
comments
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
1090
views
3551
downloads
0
comments
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 petróleo
datos
expansión
oil slick
Modeling Scenario
825
views
888
downloads
0
comments
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
túnel
ant
tunnel
Modeling Scenario
1093
views
1220
downloads
0
comments
1-070-FisheryHarvest-ModelingScenario
Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At each stage we ask students to reflect on the model.
logistic
Diffusion
management
harvest
fishery
Modeling Scenario
511
views
203
downloads
0
comments
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
General Resource
1988
views
1095
downloads
0
comments
Instructor Solutions for SIMIODE Textbook
This is a complete set of solutions for all projects, exercises, and reading exercises and is restricted to those registered as Instructors
Modeling Scenario
560
views
506
downloads
0
comments
6-001-Epidemic-ModelingScenario
This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the number of boys bedridden due to an outbreak of...
data
difference equations
parameter estimation
continuous
epidemic
discrete
boarding school
Modeling Scenario
1073
views
582
downloads
0
comments
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
369
views
253
downloads
0
comments
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
Modeling Scenario
291
views
511
downloads
0
comments
1-076-ClimateBifurcation-ModelingScenario
We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.
energy balance
climate
energy
albedo
Hysteresis
bifurcation
ice-age
greenhouse
balance
Stefan Boltzmann Law
Modeling Scenario
369
views
254
downloads
1
comments
3-104-BungeeJumping-ModelingScenario
In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested in starting a bungee jumping business.
design
falling
mass
spring\
bungee
elesticity
recommendation
consult
Technique Narrative
286
views
175
downloads
0
comments
9-001-SkinBurnModelNumericalMethods-TechniqueNarrative
The heat equation is an important partial differential equation (PDE) which describes the distribution of heat in a given region over time. Numerical methods play an important role in solving these.
Maternal-Fetal interface
heat equation
Conservation of Energyt
heat flux
Euler's forward method
central difference
skin burn
hyperthermia
thermal conductivity
layers
Modeling Scenario
325
views
208
downloads
0
comments
7-011-CoupledSystemLaplace-ModelingScenario
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.
transfer function
polycarbonate
baby heater
coupled system
heating
Technique Narrative
682
views
132
downloads
0
comments
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
347
views
163
downloads
0
comments
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
351
views
130
downloads
0
comments
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
375
views
89
downloads
0
comments
7-005-OverViewLaplaceTransforms-TechniqueNarrative
This is a specialized overview of Laplace Transform application to solving differential equations in Mathematica.
integration
Laplace transform
Inverse Laplace transofrm
integration by parts
Technique Narrative
725
views
170
downloads
0
comments
5-010-MatrixExponential-TechniqueNarrative
The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and...
matrix esponential
Putzer's Algorithm
diagonalization
eigenvalues
eigenvectors
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