## Resources

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Resource Type (40)

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Calculus 2(13) Calculus 3 (multivariable)(2) Differential Equations(37) Modeling(34) Other(1)

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Vision and Change Core Competencies - Ability (16)

Create and develop models(13) Use quantitative reasoning(15) Design simulations(3) Tap into interdisciplinary study(4) Communicate and collaborate with other disciplines(1)

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Motivates student to learn material(17) Focuses student on the material to be learned(16) Leverages differences among learners(1)

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Bloom's Cognitive Level (13)

Foundational: factual knowledge & comprehension(1) Application & Analysis(12)

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Includes clear efforts on Issues (0)

###### Applied Filters

Technique Narrative

##### 8-002-TrigSumRepresentation-TechniqueNarrative

Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields. This is an introduction to the study of Fourier Series.Potential Scenario

##### 2011-W_Wood-Squigonometry

The differential equations used to define a unit circle, namely xâ€™(t) = - y(t), yâ€™(t) = (t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which satisfy trig like identities.Potential Scenario

##### 2011-W_Wood-Squigonometry

The differential equations used to define a unit circle, namely xâ€™(t) = - y(t), yâ€™(t) = x(t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which satisfy trig like identities.Potential Scenario

##### 2019_Isaac_Eshakoff-Differential_Equations_of_Love_and_Love_of_Differential_Equations

In this paper, simple ordinary differential equations are discussed against the background of William Shakespeareâ€™s Romeo and Juliet.Potential Scenario

##### 2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra

The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.Potential Scenario

##### 2013-Michael-Evans-Growth and Decay

Sometimes, we can describe processes of growth and decayâ€”whether physical, chemical, biological or sociologicalâ€”by mathematical models.Article or Presentation

##### 1999-F_Brauer-What_Goes_Up_Must_Come_Down

It is natural to ask whether a particle propelled upwards takes longer to fall to earth from its maximum height than it takes to rise to this maximum height for frictional forces that are nonlinear functions of velocity.Potential 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.Potential Scenario

##### 2011-Yanyu_Xiao-Study of Malaria Transmission Dynamics by Mathematical Models

The novelty lies in the fact that different distribution functions are used to describe the variance of individual latencies. The theoretical results of this project indicate that latencies reduce the basic reproduction number.Modeling Scenario

##### 4-065-GasInjection-ModelingScenario

Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest derivative terms or singularities in boundary...Article or Presentation

##### 2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity

We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.Technique Narrative

##### 1-002-IntegratingFactor-TechniqueNarrative

We develop a strategy to solve first order differential equations by transforming one side of the equation to the derivative of a product of two functions, thereby making it easy to antidifferentiate that side.Modeling Scenario

##### 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.Modeling Scenario

##### 1-054-GrowthInFarmland-ModelingScenario

An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple...Modeling Scenario