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# SIMIODE

## Resources

##### Includes clear efforts on Issues
Modeling Scenario 103

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##### 1-078-MonodGrowthModel-ModelingScenario
Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.
bacteria nutrient cycles growth Monod consumption
Modeling Scenario 377

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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 180

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131

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##### 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 77

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##### 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 104

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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 79

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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 338

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##### 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
Technique Narrative 68

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##### 5-005-StiffDifferentialEquations-TechniqueNarrative
This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples. Stiffness is a property that a system of ODE's may posses that make it difficult to solve numerically.
Euler's method explicit methods implicit methods stiff sitffness stiff differential equation instability
Modeling Scenario 60

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##### 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
Modeling Scenario 63

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##### 1-039-StochasticPopModels-ModelingScenario
We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t.
Probability population dynamics Variance Mean stochastic deterministic
Modeling Scenario 54

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As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.
optimization kinetics energy trophic efficiency work river terminal velocity friction current force barge worlk speed
Modeling Scenario 40

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##### 1-086-MedicinalPill-ModelingScenario
Administration of a medicinal pill in single and multiple doses is modeled.
medicine spillover compartment bloodstream GIT-Track
Modeling Scenario 41

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In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra background, can still enjoy differential equation...
SIR model Proportion derivative difference quotient Sleeping Beauty contagious disease
Modeling Scenario 52

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##### 1-120-CircularRollerCoaster-ModelingScenario
Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction. This problem is an excellent introduction for students
population dynamics energy Fluid Mechanics m friction roller coaster integration by8 parts
Modeling Scenario 55

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