
3073SEarthQuake Part II
06 Aug 2021   Contributor(s):: Tracy Weyand
This modeling scenario considers a onestory building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a massspringdamper system. In this activity, students will analyze motion of the roof under different damping and vibration...

4055SShatterWineGlass
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...

3040SFirstPassageTime
07 Apr 2017   Contributor(s):: Brian Winkel
We apply the notions of dampedness to second order, linear, constant coefficient, homogeneous differential equations used to model a spring mass dashpot system and introduce the notion of first passage time with several applications.

3030SSecondOrderIntro
22 Apr 2016   Contributor(s):: Brian Winkel
SPANISH LANGUAGE VERSION We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODESPANISH.cls. Names will be xySTitleStudentVersionSpanish and xyTTitleTeacherVersionSpanish.

9012SPDEGuitarTuning
04 Jun 2015   Contributor(s):: Brian Winkel
We present a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the onedimensional wave equation. We immediately offer numerical solutions in a computer algebra system (we use Mathematica, but any...