## Resources

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Resource Type (266)

Modeling Scenario(137) Technique Narrative(6) Potential Scenario(87) Article or Presentation(16) Free Online Textbook(18) General Resource(2)

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Differential Equation Type (266)

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Application Area (266)

Chemistry(19) Economics(12) Engineering(64) Humanities(2) Life Sciences(53) Mathematics(117) Modeling (general)(223) Physics(158) Social Sciences(9) Other(1)

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Assessment Type (143)

Homework(132) Solve problem(s)(1) Written assignment: Essay(2) Written assignment: Report(129) Written assignment: Literature review(1)

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Pedagogical Approaches (128)

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Vision and Change Core Competencies - Ability (143)

Create and develop models(134) Use quantitative reasoning(126) Design simulations(30) Tap into interdisciplinary study(20) Communicate and collaborate with mathematics community(5) Communicate and collaborate with other disciplines(17) Understand the relationship between material and society(2)

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Principles of How People Learn (142)

Motivates student to learn material(137) Focuses student on the material to be learned(130) Develops supportive community of learners(4) Leverages differences among learners(1) Reveals prior knowledge(8) Requires student to do the bulk of the work(5)

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Bloom's Cognitive Level (137)

Foundational: factual knowledge & comprehension(14) Application & Analysis(131) Synthesis/Evaluation/Creation(3)

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Includes clear efforts on Issues (1)

Equity(1)

###### Applied Filters

Potential Scenario

##### 2017-Andras_Domokos-Differential Equations - Theory and Applications â€“ Notes

This is a terrific set of notes with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and motivation.Potential Scenario

##### 2017-Bruce_Emerson-Wonderful World of Differential Equations

This is a terrific set of noted with models and applications woven into the material at every opportunity and data as well. This is introductory differential equations with attention to detail and motivation.Modeling Scenario

##### 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.Modeling Scenario

##### 1-105-AnimalFall-ModelingScenario

This project uses Newton's Second Law of Motion to model a falling animal with a resistance term proportional to cross sectional area of the animal, presumed to be spherical in shape.Modeling Scenario

##### 1-013-SleuthingWithDifferentialEquations-ModelingScenario

We present several situations in which differential equation models serve to aid in sleuthing and general investigations.Modeling Scenario

##### 3-095-ShotInWater-ModelingScenario

This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene.Modeling Scenario

##### 3-009-BallDropInWater-ModelingScenario

We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.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

##### 5-014-TwoSpringMass-ModelingScenario

We ask students to build a Free Body Diagram for a vertical two mass situation in which the two masses are held fixed at the tip and at the bottom. The mass holds the springs together at the join of the two springs in between.Modeling Scenario

##### 3-080-PendulumModeling-ModelingScenario

We lead students through building model for several pendulum configurations in motion and ask students to compare results.Modeling Scenario

##### 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...Modeling Scenario

##### 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.Modeling Scenario

##### 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.Modeling Scenario

##### 3-150-ItsABlastFurnace-ModelingScenario

This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.Modeling Scenario