Welcome to the new home for SIMIODE. Please use the login link on the upper right of the window to create an account, and then click join group.

Close

## Resources

##### Includes clear efforts on Issues
Modeling Scenario
49

views

48

0

##### 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
26

views

9

0

##### 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
25

views

8

0

##### 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
Modeling Scenario
5

views

1

0

##### 1-125-DiceyPopulation-ModelingScenario
We offer students an opportunity to generate data for their team on a death and immigration model using 12 and 20 sided dice and then pass on the data to another student team for analysis with a model they built. The key is to recover the...
simulation immigration death dice
Modeling Scenario
10

views

1

0

##### 1-025-MixingItUp-ModelingScenario
Students build three different models for levels of salt in a tank of water and at each stage the level of complexity increases with attention to nuances necessary for success.
compartment salt tank mixing
Modeling Scenario
29

views

36

0

##### 6-070-BeerBubbles-ModelingScenario
The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top.
molecular forensics BEER sphere bubble Newton' Second Law Ideal Gas Law drag force Hadamard Stokes mole
Modeling Scenario
13

views

2

0

##### 6-003-SchoolFluEpidemic-ModelingScenario
We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.
infection epidemic SIR model flu peak school children
Modeling Scenario
25

views

16

0

##### 6-004-VillageEpidemic-ModelingScenario
Students are offered data from a plague epidemic that occurred in the middle of the seventeenth century in Eyam, a small English village. With only two assumptions offered to students they are to build a mathematical model.
SIR models epidemic susceptible infective removed Eyam English village
Modeling Scenario
42

views

21

0

##### 9-125-BeamModeling-ModelingScenario
This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam or use data provided to build a model.
Fluid Mechanics beam cantilever impulse Laplace transform boundary condition fourth order
Modeling Scenario
37

views

35

0

##### 1-001-MM-DeathAndImmigration-ModelingScenario
We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to die and others then to immigrate. Modeling ensues!
simulation immigration death Spanish dats Winkel Brian Winkel
Modeling Scenario
888

views

3796

0

##### 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
495

views

89

1

##### 1-128-RocketFlight-ModelingScenario
We offer an opportunity to build a mathematical model using Newton's Second Law of Motion and a Free Body Diagram to analyze the forces acting on the rocket of changing mass in its upward flight under power and then without power followed by its...
resistance Flight Rocketry mass Newton's Second Law of Motion thrust Free Body Diagram apex rocket
Modeling Scenario
473

views

1442

0

##### 9-014-TurkeyCook-ModelingScenario
The goal of this project is to investigate several models for the cooking time for a turkey based on weight, test these models with data obtained from heating curves for turkeys of various weights, and develop a new model to fit this data.
sphere heat equation turkey Panofsky radial symmetry
Modeling Scenario
672

views

1793

0

##### 3-030-SecondOrderIntro-ModelingScenario
We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.
parameter estimation non-homogeneous Spanish frequency buoyancy inverse problem thrust underdamped first passage spring mash dashpot real complex homogeneous superposition parachute overdamped critically damped buoy quadratic equation roots rocket flight
Modeling Scenario
665

views

670