Tags: exponential

All Categories (1-15 of 15)

  1. 1-190-S-IntroClass

    05 Mar 2022 | | Contributor(s):: Bill Skerbitz

    Students are led step by step through the development of introductory ideas in mathematical modeling with differential equations. They will encounter the fundamental ideas underlying unlimited population growth (exponential models), limited population growth (logistic models), and a coupled...

  2. 1-102C-S-CancerGrowth

    19 Jan 2022 | | Contributor(s):: Jennie D'Ambroise

    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 Gompertz. Students solve first-order differential...

  3. 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...

  4. 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...

  5. SIMIODE EXPO 2021 - Minicourse M-R1 - Brian Winkel - Introduction to Differential Equations of Stochastic Processes

    11 Feb 2021 | | Contributor(s):: Brian Winkel

    SIMIODE EXPO 2021 - Minicourse M-R1 - Brian Winkel - Introduction to Differential Equations of Stochastic ProcessesBrian Winkel, Director SIMIODE, Cornwall NY USAThis was a presentation made at the SIMIODE EXPO 2021  - see program.Abstract:  We describe efforts to...

  6. 2013-Evans, Michael - Growth and Decay. Calculus Module 13

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

    2013-Evans-GrowthDecay3e-EdServicesAustraliaEvans, Michael. 2013. Growth and Decay. Calculus Module 13. Supporting Australian Mathematics Project. Education Services Australia: South Victoria AUSTRALIASee https://www.amsi.org.au/ESA_Senior_Years/PDF/GrowthDecay3e.pdf...

  7. 1-062-S-BacterialGrowth

    15 Sep 2018 | | Contributor(s):: Arati Nanda Pati

    We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches andusing EXCEL spreadsheet. In this particular modeling scenario, we know the exact solution and want to see how various models predict our expectations. We have used...

  8. 1-102-S-CancerGrowth

    29 Jul 2018 | | Contributor(s):: Jue Wang

    This scenario 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 Gompertz. They examine the behaviors of the...

  9. 2018-Schneebeli, Hans R. - Population Modeling

    01 Mar 2018 | | Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan

    This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in...

  10. 1-024-S-MalariaControl

    06 May 2016 | | Contributor(s):: David Culver

    This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations. The scenario is based on the deployment of the United States Army's 62nd Engineer Battalion to...

  11. 1-032-S-WordPropagation

    07 Apr 2016 | | Contributor(s):: Rachelle DeCoste, Rachel Bayless

    This activity is a gentle introduction to modeling via differential equations. The students will model the rate at which the word jumbo has propagated through English language texts over time.

  12. 1991-Watson, Jane M. - Building probability models in a differential equations course

    26 Jun 2015 | | Contributor(s):: Jane M. Watson

    Watson, Jane M. 1991. Building probability models in a differential equations course. International Journal of Mathematical Education in Science and Technology. 22(4): 507-517.See https://www.tandfonline.com/doi/abs/10.1080/0020739910220402 .Article Abstract: An application is...

  13. 2011-Leinbach, Carl - Beyond Newton's law of cooling – estimation of time since death.

    20 Jun 2015 | | Contributor(s):: Carl Leinbach

    Leinbach, Carl. 2011.  Beyond Newton's law of cooling – estimation of time since death.  International Journal of Mathematical Education in Science and Technology. 42(6): 765-774.See - https://www.tandfonline.com/doi/abs/10.1080/0020739X.2011.592613 . The...

  14. 7-008-S-MachineReplacement

    04 Jun 2015 | | Contributor(s):: Brian Winkel

      Students build an differential equation model using a convolution for machine replacement strategies for two different machine failure models: (1) exponentially distributed failure (student exercise) and (2) fixed time replacement. We discuss all the necessary probability notions which...

  15. 1-002-S-Tossing

    11 May 2015 | | Contributor(s):: Brian Winkel

    We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and differential equation.We add a Hand Out Working Version which can be used in class authored by Rachel ...