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    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, n

    Keywords: strategiesdiscovery learningeigenvectorseigenvalue

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    1992-CHF_Bulte-The differential equation of the deflection curve
    This paper presents the derivation and physical meaning of the general fourth-order linear differential equation (with sectionally continuous derivatives) of the deflection curve and its general...

    Keywords: beamdeflectionshear forcebending momentcritical loadnatural frequency

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    2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
    This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.

    Keywords: simulationparameter estimationshoppingfittingbehaviour

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    1-042-KoolAid-ModelingScenario
    Students run experiments involving concentrated solution of drink powder flowing from upper to lower tank, initially filled with plain water. They make qualitative observations about the intensity...

    Keywords: concentrationcompartmenttanksKoolAid

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    1-001d-HotelPopulationDecay-ModelingScenario
    You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel. Before you run the...

    Keywords: simulationlogisticexponential decayfitting

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    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...

    Keywords: Unit CirclepathfallinggravitychordNetwon's Second Law of Motion

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    2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
    In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by...

    Keywords: carrying capacityharvestEaster Islandinvasie especiesratsRoughgarden theorem.

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    2009-Munz-EtAl-When Zombies Attack-Mathematical modelling of an Outbreak of Zombie Infection
    We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.

    Keywords: zombiesinfectionepidemicwater treatmentlatent infectionquarantineimpulsive eradication

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    2008-Brewer-EtAl-Fitting ordinary differential equations to short time course data
    In this paper, we present a survey of existing algorithms and describe the main approaches. We also introduce and evaluate a new efficient technique for estimating ODEs linear in parameters...

    Keywords: time seriesEvaluation SPLINEgeneleast squaresbifurcation

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    2019-Banuelos_Danet_Flores_Ramos-Epidemiological_Math_Model_Approach_To_Political_System_with_Three_Parties
    A nonlinear compartmental model is derived to study the movement between classes of voters with the assumption of a constant population that is homogeneously mixed.

    Keywords: politicsparametersvotingcompartment modelepidemiological modelequilibriathree-party system

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    3-071-WirelessTelegraphy-ModelingScenario
    This project has three parts, (1) done at home, (2) and (3) in class. In (1) we recall how to solve second order differential equations with constant coefficients and simple source functions. In...

    Keywords: bRLC circuitresonancebeatscurrentwireless telegraphyLC circuit

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    Unwrapping Enzyme Kinetics
    Enzyme rates and kinetics are key components used by biochemists to understand how enzymes function. However, students often find it difficult to understand how these experiments are performed and...

    Keywords: kineticsstructure-functionenzymescatalysis

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    1-078-MonodGrowthModel-ModelingScenario
    Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.

    Keywords: bacterianutrient cyclesgrowthMonodconsumption

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    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.

    Keywords: Great Lakeslimnologycomparmentpollutioncompartmental modelsphosphorous

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    2020-TeachingModule-CarSuspension
    The modeling activity on car suspensions assumes that students have grappled with second order linear homogeneous differential equations with constant coefficients.

    Keywords: modulesuspensioncar suspensionsecond orderTeaching Module

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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
    We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).

    Keywords: SIR modelsvaccinepopulationwater treatmentsusceptibleeducation campaignminimizing costinfected

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    2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
    We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache...

    Keywords: discretecachecache calculus

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    2012-Yuan_Yuan-A coupled plankton system with instantaneous and delayed predation
    We present two simple plankton population models: one has instantaneous predation, another has delayed predation.

    Keywords: phytoplanktonbifurcationorbitsherbivorous zooplanktoneffect of fishmaturation time delay

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    2011-Kurt_Kreith-The Mathematics of Global Change
    The authors discuss broad issues and then focus on specifics like exponential growth, logistic growth, and the logistic equation with delay.

    Keywords: exponential growthlogistic growth

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