## Resources

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Resource Type (749)

Modeling Scenario(293) Technique Narrative(20) Potential Scenario(353) Article or Presentation(51) Free Online Textbook(29) General Resource(3)

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Differential Equation Type (749)

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Chemistry(63) Economics(48) Engineering(100) Humanities(10) Life Sciences(315) Mathematics(408) Modeling (general)(586) Physics(225) Social Sciences(84) Other(5)

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Pedagogical Approaches (275)

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Vision and Change Core Competencies - Ability (308)

Create and develop models(287) Use quantitative reasoning(273) Design simulations(52) Tap into interdisciplinary study(48) Communicate and collaborate with mathematics community(10) Communicate and collaborate with other disciplines(32) Understand the relationship between material and society(3)

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Principles of How People Learn (312)

Motivates student to learn material(301) Focuses student on the material to be learned(287) Develops supportive community of learners(8) Leverages differences among learners(8) Reveals prior knowledge(8) Requires student to do the bulk of the work(8)

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Includes clear efforts on Issues (2)

Diversity(1) Equity(2) Inclusion(1) Enhancement of all(1)

###### Applied Filters

Potential Scenario

##### 2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings

The usual way of deriving kinetic equations involves application of the principle of conservation of mass in conjunction with the law of mass action. Here, examples of kinetic models for several basic processes are discussed.Modeling Scenario

##### 1-011A-Kinetics-ModelingScenario

We help students see the connection between college level chemistry course work and their differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction.Potential 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

##### 2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems

These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.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

##### 6-007-FunctionsAndDerivativesInSIRModels-ModelingScenario

Given a system of differential equations, how do the solution graphs compare with the graphs of the differential equations? Students tackle this question using SIR models for well-known infectious diseases.Modeling Scenario

##### 3-001-SpringMassDataAnalysis-ModelingScenario

We offer data on position of a mass at end of spring over time where the spring mass configuration has damping due to taped flat index cards at the bottom of the mass. Modeling of a spring mass configuration and estimation of parameters are the core.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

##### 1-011-Kinetics-ModelingScenario

We make the connection between chemistry course and differential equations coursework. We do this through modeling kinetics, or rates of chemical reaction. We study zeroth, first, and second order reactions.Modeling Scenario

##### 3-002-ModelsMotivatingSecondOrder-ModelingScenario

Ordinary differential equations involve second derivatives and second derivatives appear in many contexts, chief among them are the study of forces and resulting motion. This is principally because of Newton's Second Law of Motion.Potential Scenario

##### 2017-Guy-Bart_Stan-Modelling in Biology

This is a very rich set of notes, rich in examples and ideas for modeling. In almost all cases after a model is introduced in real context there is attention to stability analysis.Modeling Scenario

##### 5-007-ChemOpt-ModelingScenario

Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.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

##### 3-020-ChordPathTime-ModelingScenario

Using Newton's Second Law of motion we can determine the time it takes for a mass to slide along a chord of a vertical circle from high point to any point along the circle. Initially, the result is nonintuitive and challenging to understand.Potential Scenario