## Resources

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Resource Type (288)

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Vision and Change Core Competencies - Ability (165)

Create and develop models(156) Use quantitative reasoning(147) Design simulations(32) Tap into interdisciplinary study(22) Communicate and collaborate with mathematics community(7) Communicate and collaborate with other disciplines(15) Understand the relationship between material and society(2)

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Motivates student to learn material(164) Focuses student on the material to be learned(154) Develops supportive community of learners(6) Leverages differences among learners(2) Reveals prior knowledge(7) Requires student to do the bulk of the work(3)

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Includes clear efforts on Issues (0)

###### Applied Filters

Free Online Textbook

##### 2016-Simon_Malham-Differential_Equations_and_Linear_Algebra

This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential equations.Technique Narrative

##### 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, nPotential Scenario

##### 2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients

We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.Article or Presentation

##### 2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling

This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students should be familiar with using eigenvalues.Technique Narrative

##### 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...Technique Narrative

##### 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...Potential Scenario

##### 2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations

The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear ordinary differential equations with constant...Potential Scenario

##### 2017-GR_Gustafson-Differential Equations Course Materials

There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices,...Modeling Scenario

##### 5-024-PhGreatLakes

In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.Technique Narrative

##### 1-030-RandomPerturbation-TechniqueNarrative

After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.Modeling Scenario

##### 5-077-MandMAttritionWarfare-ModelingScenario

Students model attrition between two opposing forces using M&M candies and discover a system of linear differential equations of order one, often called the Lanchester equations.General Resource

##### Instructor Solutions Second Edition SIMIODE Textbook HTML Version

This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox for Modeling the Real World in HTML Version.Free Online Textbook

##### 2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations

Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a fusion of mathematics and computation.Modeling Scenario

##### 1-079-HomeHeating-ModelingScenario

This project concerns using Newton's Law of Cooling to model the heating of a house. In particular, if one is going away for awhile, is it more economical to leave a house at a desired temperature or reheat it upon return?Modeling Scenario