What's New:

Resources feed

  1. 2003-Bohren-FallingBodies - DimensionalAnalysis

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

    2003-Bohren-FallingBodies - DimensionalAnalysisBohren, Craig F. 2003. Dimensional analysis, falling bodies, and the fine art of not solving differential equations. Am. J. Physics. 72(4): 534-537.Abstract: Dimensional analysis is a simple, physically transparent and intuitive...

  2. 2003-Givens-Direct observation of normal modes in coupled oscillators

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

    Givens, Ryan and O. F. de Alcantara Bonfima. 2003.Direct observation of normal modes in coupled oscillators.  From  Physics Commons.  https://pilotscholars.up.edu/phy_facpubs/6/. Abstract: We propose a simple and inexpensive method to directly observe each...

  3. 1992-Mathews-BoundedPopulationGrowth

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

    Mathews, John H. 1992. Bounded population growth: a curve fitting lesson. Mathematics and Computer Education. 26(2): 169-176.The logistic curve is presented as a mathematical model for population growth in calculus, differential equations and mathematical modeling textbooks. However, there is...

  4. 2005-Hirst-UsingHistoricalDevelopmentPredator-PreyModelsToTeachMathModeling

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

    Hirst, H. P. 2005. Using the Historical Development of Predator-Prey Models toTeach Mathematical Modeling, in From Calculus to Computers: Using thelast 200 years of mathematics history in the classroom. Washington DC: MathematicalAssociation of America. 7 pp. 

  5. 2015-KahnEtAL-DifferentialEquationsTumorGrowth

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

    2015. Khan1, Moharram A., Sirazul Haq, Umaru Musa, and Aligarh Muslim  How differential equations influence the tumor growth via mathematical models.  Mathematical Theory and Modeling. 5(8): 187-194.Abstract: This work demonstrates the importance of differential equations to develop...

  6. 1972-Rothermal-MathModelForPredictingFireSPreadInWildlandFules

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

    Rothermel, R. C, 1972. A Mathematical Model for Predicting Fire Spread in Wildland Fuels. Intermountain Forest and Range Experiment Station. Ogden UT USA. 44 pp. Pamphlet. Research Paper INT-116 1972.Abstract: The development of a mathematical model for predicting rate of fire spread and...

  7. 2015-CanoEtAl-Bringing PDEsToLifeForStudents

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

    Bringing partial differential equations to life for students2015. Cano, María José Eliseo Chacón-Vera, and Francisco Esquembre. Bringing partial differential equations to life for students. European Journal of Physics. 26: 1-15Abstract: Teaching partial differential...

  8. 1998-LouieEtAl-AnalysisOfDifferentialEquationModelsCloverMeristemPopulations.

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

    1998. Louie, K. H. Clark, and P. C. D. Newton. Analysis of differential equation models in biology: a case study for clover meristem populations. New Zealand Journal of Agricultural Research. Vol. 41: 567-576Abstract: Biological scenarios are given in which it is more appropriate to use...

  9. 2002-Medlock-Mathematical Modeling of Epidemics

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

    2002. Medlock, J. Mathematical Modeling of Epidemics. Talk Given.AbstractEach year, millions of people worldwide die from infectious diseases such as measles, malaria, tuberculosis, HIV. While there are many complicating factors, simple mathematical models can provide much insight into the...

  10. 2003-Ellermeyer-ModelingViaDEs

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

    2003. Ellermeyer, S. F. Modeling Via Differential EquationsAbstract:  Mathematical modeling via differential equations is introduced. We partially follow the approach in Section 1.1 of the Blanchard, Devaney, and Hall text book.

  11. 2004- HillEtAl-Experiments on ice spikes and a simple growth model

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

    2004. Lesley Hill, Lesley, Edward Lozowski, and Russell D. Sampson. Experiments on ice spikes and a simple growth model.  Journal of Glaciology. 50(170): 375-381. 2004.ABSTRACT. Ice-spike observations in nature have sparked much interest in the scientific and non-scientific communities...

  12. 3-063-S-FallingBuildingIce

    07 Mar 2020 | Modeling Scenarios | Contributor(s):: Brian Winkel

    We model the fall of a piece of ice which is falling from a high building in New York City.

  13. 1-030-Text-S-RandomPerturbation

    05 Mar 2020 | Technique Narratives | Contributor(s):: Reza R Ahangar

    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations. Students in their semester research project under a course “special topics” or “independent study” will learn a past...

  14. 1-030-Text-T-RandomPerturbation

    05 Mar 2020 | Technique Narratives | Contributor(s):: Reza Ahangar

    After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations. Students in their semester research project under a course “special topics” or “independent study” will learn a past...

  15. 2020-Stepien, Kostelich, Kuang. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review.

    27 Feb 2020 | Potential Scenario Ideas | Contributor(s):: Tracy L. Stepien, Eric J. Kostelich, Yang Kkuang

    Stepien, Kostelich, Kuang. 2020. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review. 62(1): 244-263. This is an amazing article in support of a unique approach to an applied mathematics course based on the relationship between mathematics and cancer. We...

  16. 5-077-S-MandMAttritionWarfare

    23 Feb 2020 | Modeling Scenarios | Contributor(s):: Lukasz Grabarek

    Students will model attrition between two opposing forces using m&m candies. Through experiment and data collection, students will determine the parameters describing the fighting strength of each force, solve the system, arrive at Lanchester's N-square Law and use it to analyze a...

  17. JMM 2020 - Contributed Paper Session Modeling-First Inquiry-Based Course Activities

    20 Jan 2020 | Presentations | Contributor(s):: Brian Winkel

    Joint Mathematics Meetings 2020 MAA Contributed Paper SessionModeling-First Inquiry-Based Course ActivitiesWe offer up the material from the Contributed Paper session. The actual files are found in Sopporting Docs.Wednesday January 15, 2020, 8:00 a.m.-10:55 a.m.MAA Contributed Paper...

  18. JMM 2020 MAA Minicourse #10 Wall to Wall Modeling Scenarios for Differential Equations

    20 Jan 2020 | Presentations

    Joint Mathematics Meetings 2020 MAA Minicourse #10Wall to Wall Modeling Scenarios for Differential EquationsWe offer up the materials from the Minicourse. The actual files are found in Supporting Docs.Part A – Thursday, 16 January 2020, 9:00 AM - 11:00 AM Room 704, Meeting Room...

  19. JMM 2020 AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses

    20 Jan 2020 | Presentations | Contributor(s):: Brian John Winkel

    We present the titles and abstracts as well as complete presentation for talks given at AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses, Room 108, Meeting Room Level, Colorado Convention Center, held at JMM 2020, 18 January 2020, Denver CO...

  20. 5-015-S-RunnerSynchronize

    13 Jan 2020 | Modeling Scenarios | Contributor(s):: Eli E Goldwyn

    The goal is for students to practice finding and classifying equilibria of a one-variable system in this modeling context while also introducing variables defined on a restricted domain (the circle).