Tags: differential

All Categories (1-20 of 422)

  1. 1-160-S-HeartDeathRate

    20 Sep 2021 | | Contributor(s):: Arati Nanda Pati

    In this modeling scenario, we offer students simulation experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation, differential equation, and parameter estimation using EXCEL. We...

  2. 2021-Radhka, T. S. L. - Notes on Frobenius method

    06 Sep 2021 | | Contributor(s):: T S L Radhika

    Radhka, T. S. L. 2021. Notes on Frobenius methodAbstract: This article explains and demonstrates applications of the Frobenius theory as discussed in thebook by Simmons on “Differential Equations with Applications and Historical Notes.” We specificallydiscuss the...

  3. 9-125-S-BeamModeling

    27 Aug 2021 | | Contributor(s):: Brody Dylan Johnson

    This modeling scenario examines the deflection of a cantilever beam under two different distributed loads. Students will have the opportunity to conduct experiments with their own cantilever beam or use data provided in the student version. A mathematical model for the beam deflection will be...

  4. 1-104-S-InfectionRisk

    26 Aug 2021 | | Contributor(s):: Qingxia Li

    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions. This project was designed for an introductory section in Calculus II or a course involving ordinary differential equations,...

  5. 10-100-S-InsectOutbreaks

    17 Aug 2021 | | Contributor(s):: Jacob Paul Duncan

    The mountain pine beetle (MPB, Dendroctonus ponderosae), a tree-killing bark beetle, has historically been part of the normal disturbance regime in lodgepole pine (Pinus contorta) forests. In recent years, warmer weather has allowed MPB populations to achieve synchronous emergence and successful...

  6. 4-065-S-GasInjection

    14 Aug 2021 | | Contributor(s):: Vladimir Riabov

    Students will use computer programs (or create their own programming 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 conditions. The uniform...

  7. 3-069-S-HeatInBar

    12 Aug 2021 | | Contributor(s):: Yuxin Zhang

    The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches. A series of experiments are designed to study the effects of materials, ambient fluid flows, geometric characteristics, and...

  8. 5-036-S-HalfCarVibration

    08 Aug 2021 | | Contributor(s):: Shengyong Zhang

    Vibration vehicle models provide a great opportunity to integrate vehicle-based vibrations into a mechanical engineering vibrations course. This project works on a multiple-degree-of-freedom (MDOF) including the pitch and bounce of the vehicle body mounting on a suspension system. The approach...

  9. 1-134-S-LanguageDynamics

    08 Aug 2021 | | Contributor(s):: Jennifer Crodelle

    Students will be introduced to a mathematical model for language dynamics. Specifically, the model describes the change in the fraction of a population speaking one language over another. By answering a list of questions, students will explore how changing the status of a language will alter the...

  10. 1-135-S-FishHarvesting

    08 Aug 2021 | | Contributor(s):: Jennifer Crodelle

    This modeling scenario will introduce students to the concept of a bifurcation through a fish harvesting model. This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this...

  11. 1-097-S-SwimmingPool

    08 Aug 2021 | | Contributor(s):: Barbara Zubik-Kowal

    This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods. On the analytical side, students will solve one of the model equations, describing the first stage of a...

  12. 6-067-S-LotkaVolterra

    07 Aug 2021 | | Contributor(s):: Iordanka Panayotova, Maila Hallare

    This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities of R and R studio, an integrated development environment for R, and the gauseR package, a collection...

  13. 3-092-S-WirelessPower

    04 Aug 2021 | | Contributor(s):: Maila Hallare, Iordanka Panayotova

    This activity presents an engineering application that is modelled by a coupled system of two linear second-order differential equations with constant coefficients. One of the equations is homogeneous while the other one is non-homogeneous. The application is called wireless power transmission...

  14. 6-029-S-TumorGrowth

    04 Aug 2021 | | Contributor(s):: Allison Leigh Lewis

    This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time. Students should have prior experience with solving ODEs using the separable...

  15. 1-150-S-CancerTherapy

    03 Aug 2021 | | Contributor(s):: Maila Hallare, Iordanka Panayotova

    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the other, surgery happens after therapy.Activities will help students appreciate the importance of...

  16. 6-017-S-OncolyticViruses

    03 Aug 2021 | | Contributor(s):: Iordanka Panayotova, Maila Hallare

    In this project, students explore oncolytic virotherapy using systems of differential equations and numerical simulations. The first activity guides the students in simulating the dynamics between the uninfected cancer cells x(t), the oncolytic virus-infected cancer cells y(t),  and the...

  17. 3-076-S-CircuitBuilding

    27 Jul 2021 | | Contributor(s):: Chiu Choi

    In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients. They will derive the initial conditions for this differential equation by using circuit laws. They will obtain its closed-form solution...

  18. Jul 14 2021

    MAA Virtual Programming Schedule - Panel 3: "Professional Engagement Beyond Research"

    Mathematical Association of America's Virtual Programming ScheduleAnalysis and Differential Equations at Undergraduate InstitutionsJune 23, June 30, July 14 and July 21, 1-2:30pm ETThis...

    https://www.simiode.org/events/details/95

  19. Jun 29 2021

    MAA Virtual Programming Schedule - Panel 2: "Keeping Research Alive"

    Mathematical Association of America's Virtual Programming ScheduleAnalysis and Differential Equations at Undergraduate InstitutionsJune 23, June 30, July 14 and July 21, 1-2:30pm ETThis...

    https://www.simiode.org/events/details/94

  20. Mohammad W. Alomari

    Dr. Alomari is an Associate Professor of Mathematics (Real Analysis-Inequalities) at Irbid National University-Jordan. His main research area includes; Analytic inequalities, Approximation theory,...

    https://www.simiode.org/members/6012