## Resources

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Resource Type (29)

Modeling Scenario(16) Potential Scenario(11) Article or Presentation(1) Free Online Textbook(1)

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Chemistry(3) Engineering(10) Life Sciences(3) Mathematics(12) Modeling (general)(23) Physics(18)

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Calculus 2(5) Differential Equations(28) Modeling(29)

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Reviewing prior research(1) Asking a question(14) Formulating hypotheses(13) Designing/conducting experiments(3) Predicting outcomes(5) Gathering data/making observations(4) Analyzing data(6) Interpreting results/data(5) Displaying/modeling results/data(5) Communicating results(5) Translating into mathematics(1)

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###### Applied Filters

Modeling Scenario

##### 3-010-EnergyInSpringMassSystem-ModlingScenario

As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring system.Modeling Scenario

##### 1-114-EarthClimate-ModelingScenario

In this modeling scenario, we investigate the Earth's climate using a zero-dimensional energy balance model. Energy balance models are climate models that try to predict the average surface temperature of the Earth.Potential Scenario

##### 2009-James_May-Nonlinear vibration control of long flexible structures

An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order modes where vibration impedance was shown to be...Modeling Scenario

##### 1-050-BargingAhead-ModelingScenario

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.Potential Scenario

##### 2017-Ben_Finio-Science Buddies â€“ Linear & Nonlinear Springs Tutorial

This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.Potential Scenario

##### 2013-Kose-Kunze-Climate Modeling in the Calculus and Differential Equations Classroom

We introduce here the basic principles of climate science for a one-dimensional Energy Balance Model (EBM),Potential Scenario

##### 2000-deOlivera-Delfino-Costa-Leite-Pinhole Water Flow From Cylindrical Bottles

The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest bottle dynamics.Potential Scenario

##### 2008-Claire_Vailance-Reaction_Kinetics-Course_Notes

This is but one of several set of notes which may interest the reader on chemical kinetics.Modeling Scenario

##### 1-076-ClimateBifurcation-ModelingScenario

We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.Modeling Scenario

##### 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.Modeling Scenario

##### 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.Modeling Scenario

##### 3-073-EarthQuakePartII-ModelingScenario

Your goal here is to determine how much friction/damping should be designed into a building to keep the roof from moving too far (which would result in the entire building collapsing) when it undergoes minor vibrations from a small earthquake.Modeling Scenario

##### 3-085-SimplePendulum-ModelingScenario

Thestudent is asked to derive and solve a differential equation that gives the position (anglePotential Scenario

##### 2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics

Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental systems, involving mass- and energy-balance relations.Potential Scenario