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Downloads
Views
Date
Relevance
Modeling Scenario
142
views
133
downloads
0
comments
9-152-HorizontalBeam-ModelingScenario
This scenario is designed to lead students to discover a differential equation that models the vertical deflection of a horizontal beam under different boundary conditions.
Polynomial dynamical system
beam
cantilever
Modeling Scenario
229
views
289
downloads
0
comments
1-037-CommonColdSpread-ModelingScenario
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example.
disease
common cold
residence hall
Modeling Scenario
304
views
203
downloads
0
comments
6-040-StruggleForExistence-ModelingScenario
We use historical data from the 1930's in the Soviet Union and model competition between two species of yeast after modeling each species separately and estimate parameters
competition
logistic
carrying capacity
paramecium
Modeling Scenario
333
views
289
downloads
0
comments
1-047a-CondensationOptimization-ModelingScenario
We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top walls and condenses on the bottom wall.
simulation
data
optimization
energy
condensation
best fit
cost
sum of scquare errors
Modeling Scenario
249
views
280
downloads
0
comments
1-001B-DeathImmigrationMystery-ModelingScenario
We describe a classroom activity in which students use M\&M candies to simulate death and immigration. Each student conducts an experiment with an immigration rate unique to that student - of that student's choice
m&m
Mystery Novels
immigration
experiment
death
Modeling Scenario
251
views
91
downloads
0
comments
1-041-AirToTop-ModelingScenario
One common rule taught to SCUBA divers is to ascend no faster than thirty feet per minute. In this project we will examine safe variable ascent rates, time required for a safe ascent using variable ascent rates.
SCUBA
ascent
air management
breathing
diving
underwater
Modeling Scenario
212
views
216
downloads
0
comments
1-110-TidePoolSnails-ModelingScenario
Students use linear differential equations to model temperature change, in a sand tide pool and inside the shell of a snail in the tide pool. We offer data on temperature in a tide pool as the sun heats the water. Students model the tide pool's...
data
snails
temperature
Newton's Law of Cooling
cooling
Newton
warming
tital pool
tide pool
Potential Scenario
111
views
35
downloads
0
comments
2011-Teleken-EtAl-Mathematical modeling of microbial growth in milk
A mathematical model to predict microbial growth in milk was developed and analyzed. The model consists of a system of two differential equations of first order. The equations are based on physical hypotheses of population growth.
bacteria
dairy
milk
food safety
microbilogy
Potential Scenario
90
views
37
downloads
0
comments
2007-Choisy-Guégan-Rohani-Mathematical Modeling of Infectious Diseases Dynamics
After presenting general notions of mathematical modeling (Section 22.2) and the nature of epidemiological data available to the modeler (Section 22.3), we detail the very basic SIR epidemiological model (Section 22.5).
stochastic
SIR model
deterministic
incubation
infectives
Modeling Scenario
211
views
101
downloads
0
comments
1-053-SlimeSpread-ModelingScenario
We offer a video showing real time spread of a cylinder of slime and challenge students to build a mathematical model for this phenomenon.
spreadsheets
slime
Modeling Scenario
1064
views
580
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
299
views
229
downloads
0
comments
1-022-SpreadOfTechnologies-ModelingScenario
We examine plots on the spread of technologies and ask students to estimate and extract data from the plots and then model several of these spread of technologies phenomena with a logistic differential equation model.
data analysis
technology
logistic
spread
innovation
Modeling Scenario
212
views
177
downloads
0
comments
1-060-SalesMarketing-ModelingScenario
We lead students through a sales forecasting model based on marketing principles first espoused by F. M. Bass with definitions, assumptions, equations, and data on sales over 15 year periods against which models may be tested.
marketing
Bass model
sales
consumer products
innovators
imitators
Modeling Scenario
532
views
566
downloads
0
comments
3-043-BallisticModeling-SpongeDart-ModelingScenario
The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance.
projectile motion
air resistance
ballistics
dimensional analysis
Newtonian mechanics
sponge dart
Nerf gun
Nerf dart
Buckingham's Theorem
Article or Presentation
143
views
45
downloads
0
comments
2011-Brian_Winkel-Sourcing_for_parameter_estimation_and_study_of_logistic_differential_equation
We present two simulation activities for students to generate real data and several data sources for the purpose of estimating parameters in the logistic differential equation model.
data
parameter estimation
parameter
logistic equation
source
Modeling Scenario
183
views
155
downloads
0
comments
1-093-SucroseReaction-ModelingScenario
We offer data on the hydrolysis of sucrose in the presence of catalyst sucrase. We present students with several models and ask which model is best. We ask students to estimate parameters for the best model.
kinetics
Michaelis-Menten
hydrolysis
reaction
sucrose
Potential Scenario
132
views
35
downloads
0
comments
2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.
simulation
parameter estimation
shopping
fitting
behaviour
Modeling Scenario
175
views
214
downloads
0
comments
6-029-TumorGrowth-ModelingScenario
This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time.
Pop_Growth Pilot
logistic
comparment
tumor
synthetic data
sum of squares error
Modeling Scenario
268
views
171
downloads
1
comments
1-092-DashItAll-ModelingSenario
This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. We derive the classic Hill-Keller model for a sprinter exerting ``maximum'' effort as he/she accelerates down a track.
data
running
sprint
Hill-Keller
world record
Olympics
Modeling Scenario
161
views
180
downloads
0
comments
5-020-ParacetamolAbsorption-ModelingScenario
We offer drug absorption data on paracetamol, an analgesic pain reliever, for two different sets of patients, vegetarian and non-vegetarian. Students build a two compartment model for plasma and non-plasma (tissue) compartments of human patients.
paracetamol
analgesic
vegetarian
non-vegetarian
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