Resources: All

Find a resource
  1. mathematica x
  2. firstorder x
  1. 1-124-S-WorldPopulation

    30 May 2020 | Modeling Scenarios | Contributor(s): Jessica Libertini

    We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

  2. 3-031-S-SpringCost

    28 May 2020 | Modeling Scenarios

    This is a situation where the student is a young tech staff member in a company and is charged with anlyzing costs for a spring to meet certain specifications.

  3. Transient and Steady State response in RC or RL circuits

    16 Apr 2020 | Presentations | Contributor(s): Jessica Libertini

    Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

  4. 1999-McCartneyCarey-ModelingTrafficFlow

    05 Apr 2020 | Potential Scenario Ideas | Contributor(s): Jessica Libertini

    1999-McCartneyCarey-ModelingTrafficFlowMcCartney, Mark  and Malachy Carey. 1999. Modelling Traffic Flow: Solving and Interpreting Differential Equations.  Teaching Mathematics and its Applications: An International Journal of the IMA. 18(3):...

  5. 1-092-S-DashItAll

    01 Sep 2019 | Modeling Scenarios | Contributor(s): Jessica Libertini

    This project uses very basic physics, Newton's Second Law of Motion, to model the motion of a sprinter running down a track. The model is driven by data from the world record race of Usain Bolt in the 2008 Beijing Olympic games. In particular, we derive the classic Hill-Keller model for a...

  6. Ice Coverage in the Arctic Climate over time

    17 Aug 2019 | Articles and Publications | Contributor(s): Jessica Libertini

    In this paper, entitled Ice Coverage in the Arctic Climate, from two students, Angie Dimopulos and Kelcey Heaney, and their professor, Dr. Wisam Bukaita, ice coverage in the Arctic is modeled over time. We present their abstract here and include the paper itself.ABSTRACT The Arctic plays a...

  7. 1-001d-S-HotelPopulationDecay

    03 Jul 2019 | Modeling Scenarios | Contributor(s): Jessica Libertini

    We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

  8. 5-005-Text-S-StiffDifferentialEquations

    05 Mar 2019 | Technique Narratives | Contributor(s): Jessica Libertini

    This material introduces the topic of ``stiffness'' for a system of ordinary differential equations (ODE's), through a series of examples.Stiffness is a property that a system of ODE's may possess that make it difficult to solve numerically with standard methods, and it is a...

  9. 1-003-S-Text-IntroNumericalMethods

    10 Jan 2019 | Technique Narratives | Contributor(s): Jessica Libertini

    We ask students to develop two numerical methods for solving first order differential equations  geometrically and to compute numeric solutions and compare them to the analytic solutions for a number of different step sizes. 

  10. 1-138-S-InnerEarDrugDelivery

    20 Aug 2018 | Modeling Scenarios | Contributor(s): Jessica Libertini

    Hearing loss is difficult to treat due to the inner ear location and structure. Drawing from this challenging case, this scenario guides students to transform a treatment protocol into a mathematical model. Students engage in pre-clinical studies to examine local drug delivery to the cochlea. The...

  11. 2-001-Text-S-NumericalMethodsComparisons

    18 Aug 2018 | Technique Narratives | Contributor(s): Jessica Libertini

    It is not always possible to solve a differential equation analytically.This material makes an effort to teach the basics of numerical methods for first order differential equations by following graphical and numerical approaches. Here we also discuss the order of accuracy of the methods and...

  12. 1-081-S-TumorGrowth

    09 Jun 2018 | Modeling Scenarios | Contributor(s): Jessica Libertini

    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth. Students use technology to solve the Gompertz model and answer a series of questions...

  13. FirstOrderModels

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Jessica Libertini

    Modeling with First Order EquationsMathematical models characterize physical systems, often using differential equations.Model Construction: Translating physical situation into mathematical terms. Clearly state physical principlesbelieved to govern process. Differential equation is a mathematical...

  14. LeakingBucket: Differential Equations in Engineering

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Jessica Libertini

    Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...

  15. Mike Karls - Incorporating a Modeling First Approach into a Traditional ODE Course

    18 Jan 2018 | Presentations

    Incorporating a Modeling First Approach into a Traditional ODE Course by Mike Karls. Ball State University.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13 January...

  16. 2012-Levermore-OrdinaryDifferentialEquations-Graphical MethodsApplications

    01 Dec 2017 | Potential Scenario Ideas | Contributor(s): Jessica Libertini

    Levermore. David. 21012. First-Order Ordinary Differential Equations II:  Graphical Methods and Applications. University of Maryland. Notes. 23 pp/5. First-Order Equations: General Theory5.1. Well-Posed Problems 25.2. Existence and Uniqueness 36. First-Order Equations: Graphical Methods6.1....

  17. 2015-Endale-ApplicationsOfODEsToRealWorldSystems

    26 Nov 2017 | Potential Scenario Ideas | Contributor(s): Jessica Libertini

    2015. Endale, Mersha Amdie. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the physical...

  18. 2009-MallettFetbrandt-Differential Equations Class Notes

    11 Sep 2017 | Potential Scenario Ideas | Contributor(s): Jessica Libertini

    Mallett, Travis and Josh Fetbrandt. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and are intended to...

  19. 2012-Applied Differential Equations

    11 Sep 2017 | Potential Scenario Ideas | Contributor(s): Jessica Libertini

    2012-Applied Differential Equations. Notes. 34 pp.Set of notes on solution strategies for first order differential equations with attention to detail in solutions and several models: tank mixing problems, mortgage, escape velocityKeywords: differential equation, model, first order, tank mixing,...

  20. 2012-Bourne-Modeling fish stocks

    10 Sep 2017 | Potential Scenario Ideas | Contributor(s): Jessica Libertini

    Bourne, Murray. 2012.  Bourne-Modeling fish stocks. https://www.intmath.com/blog/mathematics/modeling-fish-stocks-7377  . Accessed 10 September 2017.Discusses many models of harvesting and consequences.Keywords: logistic, harvest, differential equation, model, first order, fish, fish...