Resources: All

Find a resource
  1. modeling x
  2. linear x
  1. 9-020-T-HeatDiffusion

    14 Oct 2019 | Modeling Scenarios

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

  2. 9-020-S-HeatDiffusion

    14 Oct 2019 | Modeling Scenarios

    This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin...

  3. 1-084-T-GoingViral

    31 Aug 2019 | Modeling Scenarios

    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom).  Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.  Finally, students solve the...

  4. 1-084-S-GoingViral

    31 Aug 2019 | Modeling Scenarios

    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom).  Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.  Finally, students solve the...

  5. 5-002-T-PhasePortraitForRelationshipDynamics

    15 Aug 2019 | Modeling Scenarios | Contributor(s): Karen Bliss

    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....

  6. 1-068-T-WaterBottleCooling

    14 Aug 2019 | Modeling Scenarios | Contributor(s): Karen Bliss

    This modeling scenario involves Newton's Law of Cooling and should be appropriate in the first week or even the first day of an introductory differential equations course. The scenario uses an Inquiry Based Learning approach to walk the students through the creation and understanding of a...

  7. 1-076-T-ClimateBifurcation

    08 Aug 2019 | Modeling Scenarios

    In this paper we present (for educational purposes) simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations from the present Earth climate to an ice age or a ``Venus type of climate.'' The models are accompanied by Matlab...

  8. 3-067-S-RLCSeriesCircuit

    28 Apr 2019 | Modeling Scenarios | Contributor(s): Karen Bliss

    In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

  9. 3-067-T-RLCSeriesCircuit

    28 Apr 2019 | Modeling Scenarios | Contributor(s): Karen Bliss

    In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical model (using Multisim).

  10. SCUDEM and COMAP MCM/ICM Talk at University of Nebraska - Lincoln

    22 Apr 2019 | Competitions-SCUDEM

    Elizabeth Carlson, holder of NSF Graduate Research Fellowship at the University of Nebraska - Lincoln, Lincoln NE USA, gave a talk in the spring 2018 to the mathematics club at her school on Math Modeling Competitions. Enjoy!

  11. 1-077-T-RLMSimSeriesCircuit

    03 Mar 2019 | Modeling Scenarios | Contributor(s): Karen Bliss

    In this validation-oriented setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using Multisim) of the circuit. This is compared...

  12. AMS Special Session on Using Modeling to Motivate the Study of Differential Equations - JMM 2019, Baltimore MD USA

    20 Jan 2019 | Presentations

    We offer the presentation for  AMS Special Session on Using Modeling to Motivate the Study of Differential Equations, I  in Room 336, BCC, 19 January 2019, 8:00 AM -11:50 AM held at the Joint Mathematics Meetings 2019, Baltimore MD USAAs we assemble them the presentations are...

  13. 2015-Yrogovchenko-ModelingAlcoholConsumption - PowerPoint

    16 Dec 2018 | Potential Scenario Ideas

    Article Review and AnnotationRagovchenko, Yuriy. 2015. Dull, dizzy, or dead: Models of Alcohol Consumption in Undergraduate Teaching. Presented  in Brno NORWAY. 7 December 201. Power Point Presentation.This PowerPoint  presentation has lots of basic data on laws, levels of alcohol, and...

  14. 3-009-T-BallDropInWater

    16 Dec 2018 | Modeling Scenarios

    We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal velocity.

  15. 1-063-T-ThreeHoleColumn

    15 Dec 2018 | Modeling Scenarios

    We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.

  16. 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...

  17. 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...

  18. 1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal

    09 Dec 2018 | Potential Scenario Ideas | Contributor(s): Karen Bliss

    Cook, K. L. and M. Witten. 1986. One-dimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301-340.Abstract: Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed. Both...

  19. Secrets of the Mathematical Contest in Modeling

    13 Nov 2018 | Articles and Publications

    Published in 2009, Dr. Kelly Cline, Carroll College, Helena MT USA, discusses his evolving personal strategy for modeling competitions from young student participant to mature faculty coach. Dr. Cline gives many practical hints and "secrets," all based on thoughtful reflection from his...

  20. 1-054-T-GrowthInFarmland

    14 Aug 2018 | Modeling Scenarios | Contributor(s): Karen Bliss

    An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model, which they then are required to analyze in multiple ways. Different fits, modeling approaches, and...