Resources: All

Find a resource
  1. differentialequations x
  2. ordinarydifferentialequations x
  1. JMM 2020 MAA Minicourse #10 Wall to Wall Modeling Scenarios for Differential Equations

    20 Jan 2020 | Presentations

    Joint Mathematics Meetings 2020 MAA Minicourse #10Wall to Wall Modeling Scenarios for Differential EquationsWe offer up the materials from the Minicourse. The actual files are found in Supporting Docs.Part A – Thursday, 16 January 2020, 9:00 AM - 11:00 AM Room 704, Meeting Room...

  2. JMM 2020 AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses

    20 Jan 2020 | Presentations

    We present the titles and abstracts as well as complete presentation for talks given at AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses, Room 108, Meeting Room Level, Colorado Convention Center, held at JMM 2020, 18 January 2020, Denver CO...

  3. 5-010-S-MatrixExponential

    12 Sep 2019 | Technique Narratives

    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 exercises. It also includes an introduction to...

  4. 5-010-T-MatrixExponential

    12 Sep 2019 | Technique Narratives

    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 exercises. It also includes an introduction to...

  5. 1-082-T-MirrorMirror

    21 Aug 2019 | Modeling Scenarios

    This project models the ``Foucault Knife Edge Test,'' an optical test commonly used by amateur astronomers who make their own mirrors for reflecting telescopes. The goal of the test is to estimate the shape of the surface of a mirror from optical reflection data. The model results in a...

  6. 5-002-T-PhasePortraitForRelationshipDynamics

    15 Aug 2019 | Modeling Scenarios

    The different possible dynamics of a two-person romantic relationship are modeled -- as a linear two dimensional system of equations -- and analyzed. Students are guided to explore how the mathematical model of one relationship type can be obtained by modifying the mathematical model of another....

  7. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

  8. 7-011-Text-T-CoupledSystemLaplace

    31 Mar 2019 | Technique Narratives

    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

  9. 7-011-Text-S-CoupledSystemLaplace

    31 Mar 2019 | Technique Narratives

    Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

  10. 5090-T-SolidParticleErosion

    27 Mar 2019 | Modeling Scenarios

    By applying Newton's second law, and making a collection of reasonable assumptions, students will derive a system of differential equations that model the path of a rigid particle as it gouges material from a more ductile surface. Examination of the solution will yield a formula for the...

  11. 1-143-S-PopulationModelVariationsMATLAB

    17 Feb 2019 | Modeling Scenarios

    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations.  They will also work with other utilities...

  12. 2008-Will-Hansen-ExamplesOfODEsInPhysics

    09 Dec 2018 | Potential Scenario Ideas

    Witt-Hansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...

  13. 2017-Bonin EtAl - Math Modeling Based on ODE for Vaccinology

    09 Dec 2018 | Potential Scenario Ideas

    Bonin, C.R.B. Et al. 2017. Mathematical modeling based on ordinary differential equations: A promising approach to vaccinology. Human Vaccines and Immunotherapy. 13(2): 484–489.Abtract: New contributions that aim to accelerate the development or to improve the efficacy and safety of...

  14. 2004-PhoebusReily-TheParachuteProblem

    09 Dec 2018 | Potential Scenario Ideas

    Phoebus, Ronald and Cole Reilly. 2004, Differential Equations and the Parachute Problem. Presentation 10 May 2004.  https://mse.redwoods.edu/darnold/math55/DEproj/sp04/coleron/presentation.pdf .Abstract: The parachute problem is a classical first semester differential equations problem...

  15. 1987-Rodin-Murthy-ComparativeEvalOfMathModelingBooks

    09 Dec 2018 | Potential Scenario Ideas

    Murthy, D. N. P. and E. Y. Rodin. 1987. A comparative evaluation of books on mathematical modeling. Mathematical Modeling. 9(1): 17-28.Abstract: In this paper we present a comparative evaluation of books on mathematical modelling that have appeared in the last 1.5 years.While dated this gives...

  16. 6-019-T-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  17. 6-019-S-EnablingEpidemicExploration

    17 Sep 2018 | Modeling Scenarios

    We offer several strategies for estimating parameters in models of epidemics, one using a Michaelis-Menten saturation infected rate.

  18. 6-003-T-SchoolFluEpidemic

    28 Aug 2018 | Modeling Scenarios

    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

  19. 6-003-S-SchoolFluEpidemic

    28 Aug 2018 | Modeling Scenarios

    We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

  20. 1-108-S-PoissonProcess

    27 Aug 2018 | Modeling Scenarios

    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.