Mathematics & Science Learning Center Computer Laboratory
	Applications—Simple Pendulum CONTENT GUIDE for PENDULUM LABORATORY General Introduction Linearization & Solving with Mathematica Setting up the IVP & Justifying the Linearization Graphically Results of Graph & Justifying Linearization Using Series Results of Series & Intro. to Solving the Linearized IVP Solving the Linearized IVP with DSolve Results of DSolve & the [[1,1,2]] trick Finding the Actual Solution Numerically with Mathematica Solving the Actual IVP with NDSolve Results of NDSolve & the [[1,1,2]] trick How Good is the Linearized Solution? Comparing the Plots of Both Solutions Results of Plotting & Considering Larger y-values Results of Larger y-values & Zooming In Results of Zooming In & Really Large y-values Results of Really Large y-values & Discussion A Real Pendulum: Facing Up to Friction Deriving the Friction Aware IVP Exercises on the Friction Aware IVP Results of the Exercises & Final Discussion Main Table of Contents for All ODE Laboratories
ODE Laboratories: A Sabbatical Project by Christopher A. Barker ©2017 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA e-mail: cbarker@deltacollege.edu