
2003BohrenFallingBodies  DimensionalAnalysis
13 Mar 2020  Contributor(s):: Brian Winkel
2003BohrenFallingBodies  DimensionalAnalysisBohren, Craig F. 2003. Dimensional analysis, falling bodies, and the fine art of not solving differential equations. Am. J. Physics. 72(4): 534537.Abstract: Dimensional analysis is a simple, physically transparent and intuitive...

2003GivensDirect 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...

1992MathewsBoundedPopulationGrowth
12 Mar 2020  Contributor(s):: Brian Winkel
Mathews, John H. 1992. Bounded population growth: a curve fitting lesson. Mathematics and Computer Education. 26(2): 169176.The logistic curve is presented as a mathematical model for population growth in calculus, differential equations and mathematical modeling textbooks. However, there is...

2005HirstUsingHistoricalDevelopmentPredatorPreyModelsToTeachMathModeling
12 Mar 2020  Contributor(s):: Brian Winkel
Hirst, H. P. 2005. Using the Historical Development of PredatorPrey 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.

2015KahnEtALDifferentialEquationsTumorGrowth
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): 187194.Abstract: This work demonstrates the importance of differential equations to develop...

1972RothermalMathModelForPredictingFireSPreadInWildlandFules
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 INT116 1972.Abstract: The development of a mathematical model for predicting rate of fire spread and...

2015CanoEtAlBringing PDEsToLifeForStudents
12 Mar 2020  Contributor(s):: Brian Winkel
Bringing partial differential equations to life for students2015. Cano, María José Eliseo ChacónVera, and Francisco Esquembre. Bringing partial differential equations to life for students. European Journal of Physics. 26: 115Abstract: Teaching partial differential...

1998LouieEtAlAnalysisOfDifferentialEquationModelsCloverMeristemPopulations.
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: 567576Abstract: Biological scenarios are given in which it is more appropriate to use...

2002MedlockMathematical 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...

2003EllermeyerModelingViaDEs
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.

2004 HillEtAlExperiments 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): 375381. 2004.ABSTRACT. Icespike observations in nature have sparked much interest in the scientific and nonscientific communities...

3063SFallingBuildingIce
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.

1030TextSRandomPerturbation
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...

1030TextTRandomPerturbation
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...

2020Stepien, 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): 244263. 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...

5077SMandMAttritionWarfare
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 Nsquare Law and use it to analyze a...

JMM 2020  Contributed Paper Session ModelingFirst InquiryBased Course Activities
20 Jan 2020  Presentations  Contributor(s):: Brian Winkel
Joint Mathematics Meetings 2020 MAA Contributed Paper SessionModelingFirst InquiryBased 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...

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...

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...

5015SRunnerSynchronize
13 Jan 2020  Modeling Scenarios  Contributor(s):: Eli E Goldwyn
The goal is for students to practice finding and classifying equilibria of a onevariable system in this modeling context while also introducing variables defined on a restricted domain (the circle).