Skip to Main Content
Powered by QUBES

Resources

Text Search:
Applied Filters
    Modeling Scenario
    644

    views

    545

    downloads

    0

    comments

    1-032-WordPropagation-ModelingScenario
    This activity is a gentle introduction to modeling via differential equations. The students will learn about exponential growth by modeling the rate at which the word jumbo has propagated through English language texts over time.
    Googleexponential growthlanguageword problemsetymologyNgrampropagationJumbo
    Potential Scenario
    156

    views

    72

    downloads

    0

    comments

    2005-Saifullah-Mathematical Modeling With Differential Equations
    This article aims to provide the students some basic modeling skills, which will have applications to a wide variety of problems.
    species interactionsword equationinteractive software
    Modeling Scenario
    353

    views

    1176

    downloads

    0

    comments

    6-025-WhalesAndKrill-ModelingScenario
    Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.
    krillwhalepredatpr-prey
    Potential Scenario
    184

    views

    46

    downloads

    0

    comments

    1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
    Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an equation of value.
    financesavingsgrowth fundinterestmortgageannuitydepreciation
    Potential Scenario
    140

    views

    49

    downloads

    0

    comments

    2003-Bohren-Dimensional analysis-falling bodies--fine art of not solving differential equations
    Dimensional analysis is a simple, physically transparent and intuitive method for obtaining approximate solutions to physics problems, especially in mechanics.
    falling bodydimensional analysisdrag
    Potential Scenario
    197

    views

    61

    downloads

    0

    comments

    2013-Antonin_Slavik-Mixing Problems with Many Tanks
    Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations.
    lineartankmixingcircularcascading
    Modeling Scenario
    285

    views

    216

    downloads

    0

    comments

    1-108-PoissonProcess-ModelingScenario
    In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.
    Probabilitysstochastic processesPoisson processwaiting timearrival
    Potential Scenario
    156

    views

    54

    downloads

    0

    comments

    1994-JM_McDill-Bjorn_Felsager-The Lighter Side of Differential Equations
    Although differential equations have many serious applications to the modeling of real-world problems, a few lighthearted problems can serve to motivate students and brighten their attitudes toward a computer-oriented course in differential...
    cooperationharvestingRomeo and Julietlovecannibalismovercrowding
    Potential Scenario
    123

    views

    62

    downloads

    0

    comments

    1992-Jude_Sommerfeld-More Applied Math Problems on Vessel Draining
    From a chemical engineering point of view emptying processing and storage tanks is important and this article considers many issues and shapes of containers. The main interest is in the total time it takes to empty the tank for a collection of...
    Torricelli's LawemptyTorricellivesselcontainer
    Modeling Scenario
    395

    views

    274

    downloads

    0

    comments

    1-102C-CancerGrowth-ModelingScenario
    This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and...
    optimizationcancerlogisticexponentialpredictiontumorgrowthdata fittingpower lawBertanffyGompertz
    Article or Presentation
    711

    views

    117

    downloads

    0

    comments

    SIMIODE Spring 2024 Webinars - Ethics Modeling
    A Practical Guide for Incorporating Ethical Reasoning into Mathematics Courses through Modeling Problems
    modelinginterdisciplinaryguideethicsgroup workethical reasoning
    Potential Scenario
    150

    views

    41

    downloads

    0

    comments

    2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
    This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.
    laboratorydata collectionRLC circuitinvers problemelectrical circuit
    Potential Scenario
    202

    views

    74

    downloads

    0

    comments

    1997-Jeff_Graham-Julia_Barnes-A Laboratory Experience for Students of Differential Equations Using RLC Circuits
    Acknowleging that applied mathematics courses rarely offer any hand-on experiences the authors constructed an RLC circuit from which they collected data and validated the differential equation of the RLC circuit.
    datacollectionslaboratorycircuitRLC
    Potential Scenario
    170

    views

    53

    downloads

    0

    comments

    1998-Elly_Claus-McGahan-Modeling Projects in a Differential Equations Course
    Here we discuss the value of student designed, in-depth, modeling projects in a differential equations course and how to prepare them for it.
    projectswritingpopulationtankmixingcomputer-aided analysissprinting
    Article or Presentation
    176

    views

    56

    downloads

    0

    comments

    1990-Winkel_Brian-First-year_calculus_students_as_in-class_consultants
    We demonstrate how we use traditional text book calculus problems to involve first year calculus students as consultants. Students are asked to solve a “real world” problem after interviewing a “guest” client –a printer.
    optimizationcalculusConsultantprinterclient
    Article or Presentation
    169

    views

    47

    downloads

    0

    comments

    2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
    We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their...
    exponential growthsolutionslinear systemsdecayconjecture
    Potential Scenario
    198

    views

    64

    downloads

    0

    comments

    2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth
    We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.
    logisticpopulationparameciaGausegradient search
    Technique Narrative
    486

    views

    116

    downloads

    0

    comments

    7-005-OverViewLaplaceTransforms-TechniqueNarrative
    This is a specialized overview of Laplace Transform application to solving differential equations in Mathematica.
    integrationLaplace transformInverse Laplace transofrmintegration by parts
    Potential Scenario
    171

    views

    68

    downloads

    0

    comments

    1999-Richard_Single-Different quotients-derivatives-and data through modeling with slime
    In this article, I present an experiment that can be conducted in a calculus class to investigate the difference quotient and the derivative, using mathematical modeling with student-collected data.
    data analysisslimedifference quotientspread of slime
    Modeling Scenario
    387

    views

    398

    downloads

    0

    comments

    1-102-CancerTumor-ModelingScenario
    This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and...
    optimizationlogisticpredictiondata fittingpower lawGompertzcancer growtheponentialBertalanaffy