20 Mar 2020 | Contributor(s):: Brian Winkel
2012-Ehrke-Second-Order-Equations-Three-CasesEhrke, John. 2012. Second Order Equations, Three Cases. Presentation 17 slides.Presentation on the three possible cases corresponding to possible eigenvalues from characteristic equation. nic and concise.
20 Dec 2019 | | Contributor(s):: Gabriel Nagy
This project has three parts, the first part to be done at home, the last two parts in class. In the home part we recall how to solve second order, linear, differential equations with constant coefficients and simple source functions. In the first in-class part we analyze the solutions found at...
20 Aug 2018 | | Contributor(s):: Jue Wang
This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of...
11 Sep 2017 | | Contributor(s):: Brian Winkel
Morin, David. Oscillations. http://www.people.fas.harvard.edu/~djmorin/waves/oscillations.pdf . Accessed 11 September 2017. Notes. 37 pp.From the first page“A wave is a correlated collection of oscillations. For example, in a transverse wave traveling along a string, each point in the...
Hsu-Applications Second Order DE In Mechanical Engineering
09 Sep 2017 | | Contributor(s):: Brian Winkel
Hsu, Tai-Ran. Application of Second Order Differential Equations in Mechanical Engineering Analysis. Cahpter 4. ME130 Applied Engineering Analysis. Notes. 59 pp.https://www.engr.sjsu.edu/trhsu/Chapter%204%20Second%20order%20DEs.pdf . Accessed 8 September 2017.Chapter Outlines● Review...
02 Sep 2017 | | Contributor(s):: Brian Winkel
2015. Cumber. Peter S. Waggling pendulums and visualization in mechanics. International Journal of Mathematical Education in Science and Technology.46(4): 611-630, Article Abstract: Students often find mechanics a difficult area to grasp. This article describes an equation of motion...
Modeling in an Engineering Mathematics Class - Tuned Mass Dampers
04 Mar 2017 | | Contributor(s):: Keith Alan Landry, Brian Winkel
This talk was presented at the AMS Special Session on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This talk discusses how a structural engineering construct, Tuned Mass Dampers, is introduced in a...