
3012TCoronaVirusAerosols
23 Mar 2020   Contributor(s):: Brian Winkel
Students will use reported data on the motion of the corona virus aerosols to model just how far they can go from the mouth of a coughing or sneezing infected person and compare that to the recommended social distancing distance of 6 feet which is the suggested distance for mitigating the spread...

3043SBallisticModelingSpongeDart
20 Nov 2018   Contributor(s):: Jean Marie Linhart, Peter Howard
The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

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...

1988KoblitzProblems That Teach The Obvious But Difficult
07 Sep 2017   Contributor(s):: Brian Winkel
Koblitz , N. 1988. Problems that Teach the Obvious but Difficult. The American Mathematical Monthly. 95(3): 254257 Four problems are presented and two of them involve differential equations. These involve projectile motion in one and two dimensions. The conclusion reads and...

2002ChaiOptima lInitial Angle To Fire Projectile
02 Sep 2017   Contributor(s):: Brian Winkel
Review and AnnotationChai, William. 2002. Optimal initial angle to fire a projectile. Pi Mu Epsilon Journal. 12(7): 363364.This article addresses the following problem:“Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is...

Vertical Projection in a Resisting Medium: Revelations on Observations of Mersenne
02 Mar 2017   Contributor(s):: Brian Winkel
Groetsch, C. W. and S. A. Yost. 2014. Vertical Projection in a Resisting Medium: Revelations on Observations of Mersenne. The American Mathematical Monthly. 21(6): 499505.Article Abstract: This article, inspired by a 17thcentury woodcut, validates empirical observations of Marin Mersenne...

2006AshlineEllisMonaghan Modeling Water Rocket Flight
25 Jun 2015   Contributor(s):: Joanna EllisMonaghan, George Ashline
Ashline, George and Joanna EllisMonaghan. 2006. HOW HIGH? HOW FAST? HOW LONG? MODELING WATER ROCKET FLIGHT WITH CALCULUS. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 16(2): 121137 Article Abstrct: We describe an easy and fun ...

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...

2014GroetschYostVertical Projection in a Resisting Medium
20 Jun 2015   Contributor(s):: C. W. Groetsch, S. A. Yost
Groetsch, C. W. and S. A. Yost. 2014. Vertical Projection in a Resisting Medium: Revelations on Observations of Mersenne. The American Mathematical Monthly. 21(6): 499505. Article Abstract: This article, inspired by a 17thcentury woodcut, validates empirical observations of...