Tags: linear

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  1. 9-030-S-WaterHammer

    31 Aug 2021 | | Contributor(s):: Panagiotis D. Scarlatos

    The students will develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs). The equations involved are nonlinear and of hyperbolic type. The problem to be solved is an initial-boundary value problem that describes the time evolution of...

  2. 1-098-S-NeuronDetection

    25 Aug 2021 | | Contributor(s):: Joshua Goldwyn

    In this activity students will study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can be used to understand basics of neural dynamics. The modeling framework is known in the mathematical neuroscience literature as the ``integrate-and-fire''...

  3. 3-073-S-EarthQuake Part II

    06 Aug 2021 | | Contributor(s):: Tracy Weyand

    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring-damper system. In this activity, students will analyze motion of the roof under different damping and vibration...

  4. 3-072-S-EarthQuake Part I

    06 Aug 2021 | | Contributor(s):: Tracy Weyand

    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system. In this activity, students will analyze the motion of the roof caused by ground movement. Here we...

  5. 1-139-S-PlantsVsHerbivores

    08 Mar 2021 | | Contributor(s):: Mary Vanderschoot

    In a recent study of plants and herbivores on an island in the North Sea, ecologists made a surprising observation: Instead of more vegetation resulting in more grazers, more vegetation resulted in fewer grazers. Consequently, the ecologists hypothesized that, as the vegetation grew more dense,...

  6. SIMIODE EXPO 2021 - Keynote Speaker - Matt Boelkins - More Linear Algebra

    01 Mar 2021 | | Contributor(s):: Matt Boelkins

    SIMIODE EXPO 2021 - Keynote Speaker - Matt Boelkins - More Linear AlgebraMore Linear AlgebraMatt Boelkins, Grand Valley State University, Allendale MI USA and Editor PRIMUSThis was a presentation made at the SIMIODE EXPO 2021  - see program.Abstract: In 2001, Gilbert Strang...

  7. Muhammad Nazam

    PhD functional Analysis with successful graduate teaching and 50 + publications

    https://simiode.org/members/5767

  8. 2020-Shelton, Therese - Remote Teaching Module - Car Suspensions

    28 Jul 2020 | | Contributor(s):: Therese Shelton

    In this modeling activity, students examine the spring-mass-dashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is installed....

  9. 3-105-S-FrequencyResponse

    22 Jul 2020 | | Contributor(s):: Brian Winkel

    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

  10. 2020-Malagon, Audrey - Remote Teaching Module - Geometry of Linear Systems

    17 Jul 2020 | | Contributor(s):: Audrey Malagon

    Geometric Behavior of Linear Systems Module OverviewThis 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 to...

  11. 3-034-S-CarSuspensions

    14 Jul 2020 | | Contributor(s):: Therese Shelton, Brian Winkel

    We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.

  12. 3-027-S-BobbingDropping

    10 Jul 2020 | | Contributor(s):: Brian Winkel

    We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

  13. 2020-Winkel, Brian - Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs

    16 Jun 2020 | | Contributor(s):: Brian Winkel

    We place here all the materials in support of the SIMIODE Remote Teaching Module - Spring Design to Meet Specs at Minimum Costs. This  Module is about second order, linear, ordinary differential equations.The class lesson starts with building a model of a spring-mass using...

  14. 1-088-S-RoomTemperature

    15 Jun 2020 | | Contributor(s):: Tracy Weyand

    Students will analyze temperature variations in a room using Newton's Cooling Law. In this model, the only influence on the indoor temperature is the (oscillating) outdoor temperature (as we assume the heating/cooling system is broken). The main goal of this project is for students to set up...

  15. 2020-Winkel, Brian - Remote Teaching Module - Modeling the Spread of Oil Slick

    10 Jun 2020 | | Contributor(s):: Brian Winkel

    We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module - Modeling the Spread of Oil Slick.This module contains1)  (Below and separate file in Supporting Docs) A brief Teaching Guide with an overview of the content and...

  16. 3-031-S-SpringCost

    28 May 2020 | | Contributor(s):: Brian Winkel

    This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

  17. 5-010-S-DNADegradation

    21 Apr 2020 | | Contributor(s):: Brian Winkel

    We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

  18. 6-045-S-CholeraTranmission

    19 Apr 2020 | | Contributor(s):: Urmi Ghosh-Dastidar

    A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

  19. 1984-Brunner, Walter and Dennis D. Focht - Deterministic Three-Half-Order Kinetic Model for Microbial Degradation of Added Carbon Substrates in Soil

    05 Apr 2020 | | Contributor(s):: Brian Winkel

    BRUNNER, WALTER AND DENNIS D. FOCHT. 1984.  Deterministic Three-Half-Order Kinetic Model for Microbial Degradation of Added Carbon Substrates in Soil. APPLIED AND ENVIRONMENTAL MICROBIOLOGY. 47(1): 167-172.See https://pubmed.ncbi.nlm.nih.gov/16346454/ .Abstract: The...

  20. 2018-McCarthy, C. - Newton's Law of Cooling.

    01 Apr 2020 | | Contributor(s):: Brian Winkel

    McCarthy, C. 2018.  Newton’s Law of Cooling.See  https://mccarthymat501.commons.gc.cuny.edu/newtonian-cooling/ .Active classroom scenario with step-by-step procedure, data, R code. Scenario: You have hot water (initial temperature ) in a container, say a cup....