
BeekenFirstOrderDifferentialEquationsAirResistance
26 Mar 2020  Contributor(s):: Brian Winkel
BeekenFirstOrderDifferentialEquationsAirResistanceBeeken, Paul. First Order Differential Equations as applied to Air Resistance. Byram Hills High School.This is a nice and gentle introduction to air resistance modeling.From the Introduction"The problem of air...

2008WillHansenExamplesOfODEsInPhysics
09 Dec 2018  Contributor(s):: Brian Winkel
WittHansen, Ole. 2008. Examples of the Differential equations of Physics. www.olewitthansen.dk. Contents1. The dependence of pressure with altitude.............................................................................. 12. Radioaktive chains of decay...

2004PhoebusReilyTheParachuteProblem
09 Dec 2018  Contributor(s):: Brian Winkel
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 often...

Pretty Good Physics
13 Nov 2017  Contributor(s):: Brian Winkel
We were introduced to PrettyGood Physics by a high school physics teacher colleague, Paul Beeken, Physics, Byram Hills High School, Armonk NY USA. He has posted some very nice materials there on differential equations. All the material at this website is free and...

2006LoydWodarz Drug Resistance in Acute Viral Infections
18 Sep 2017  Contributor(s):: Brian Winkel
Loyd, Alun L. and Dominik Wodarz. 2006. Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study. Preprint. 21 pp. http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract: The emergence and spread of drug resistant...

1994MintonProgression of Projectiles  Examples from Sports
12 Sep 2017  Contributor(s):: Brian Winkel
Minton, Roland. 1994. A Progression of Projectiles  Examples from Sports. The College Mathematics Teacher. 28(5): 436442.There is a progression of complexity and issues in projectile motion modeling from no rsistance, to resistance proportional to velocity, then to velocity...

Math Modeling with Differential Equations  Interesting Tank Problem
12 Sep 2017  Contributor(s):: Brian Winkel
Math Modeling with Differential Equations  Interesting Tank ProblemMath Modeling with Differential Equations  Interesting Tank Problem . Class Notes on five problems.,Several models are workd out including exponential decay, bullet traveling with resisitance, This material contains a solution...

Calculus for Engineers IISample Problems on mathematical modeling with differential equations
10 Sep 2017  Contributor(s):: Brian Winkel
Calculus for Engineers IISample Problems on mathematical modeling with differential equations. https://www.maths.tcd.ie/~manuela/Sample_1.pdf . Accessed 10 September 2017.Five modeling activities involved with emptying various tanks, projectile motion with resistance, and population growth and...

2017GroetschHammerANDFeather
09 Sep 2017  Contributor(s):: Brian Winkel
Groetsch, C. W. 2017. Hammer and Feather: Some Calculus of Mass and Fall Time. Mathematics Magazine. 90: 37.The paper opens this way,“Does a heavy object fall faster than a lighter one? In 1971 NASA astronaut Dave Scott, Commander of the Apollo 15 lunar mission, used a hammer and a...

1999BrauerWhat Goes Up Must Come Down
20 Jun 2015   Contributor(s):: F. Brauer
Article Review and Annotation Brauer, F. 1999. What Goes Up Must Come Down. American Mathematical Monthly. 108(5): 437440. This paper is a wonderfully general analysis of the following, “It is natural to ask whether a particle propelled upwards takes longer to fall to...

1999MeadeStruthersParachute Problem
20 Jun 2015   Contributor(s):: Douglas B. Meade, Allan A. Struthers
Meade, Douglas B. and Allan A. Struthers. 1999. Differential Equations in the New Millennium: The Parachute Problem. International Journal of Engineering Education. 15(6): 417424. Article Abstract: Introductory courses in differential equations have traditionally consisted of a long...

1994GruszkaModeling falling balloon  experiment and analysis
20 Jun 2015   Contributor(s):: T. Gruszka
Gruszka, T. 1994. A Balloon Experiment in the Classroom. The College Mathematics Journal. 25(5): 442444. We quote from the article, “The following experiment involves a balloon, a stopwatch, and a measurement device such as a meter stick. . . . The goals of the experiment include...

1980PeastrelTerminal velocity of a shuttlecock
20 Jun 2015   Contributor(s):: M. Peastrel, R. Lynch, A. Armenti, A. Armenti Jr.
Peastrel, M., R. Lynch Lynch, and A.Armenti, Jr. 1980. Terminal velocity of a shuttlecock in vertical fall. American Journal of Physics. 48(7): 511513.Article Abstract: We have performed a straightforward vertical fall experiment for a case where the effects of air resistance are important...