Mathematics & Science Learning Center Computer Laboratory
	Applications—Population Dynamics CONTENT GUIDE for POPULATION DYNAMICS LABORATORY Theoretical Introduction Plotting the Actual Data with Mathematica Entering the Actual Population Data Displaying the Data Nicely Results of the Nice Display & Normalizing the Data Results of Normalizing the Data & Finding ListPlot's Syntax ListPlot's Syntax & Plotting the Data The Result of Plotting the Data Plotting the Malthusian Model with Mathematica Solving the Malthusian IVP Results of DSolve & the [[1,1,2]] trick Discussion of Finding k & FindRoot's Syntax FindRoot's Syntax & First Attempt at Solving for k Results of Our First Attempt & Trying Again The k-value Found & Subbing into the Malthus Solution Results of the Substitution & Plotting the Malthus Solution The Result of Plotting the Malthus Solution Plotting the Verhulst Model with Mathematica Solving the Verhulst IVP Results of DSolve & the [[1,1,2]] trick Discussion of Finding a & b & Our First Try with FindRoot Results of Our First Attempt & Trying Again for a & b a & b Found & Subbing Into the Verhulst Solution Results of the Substitution & Plotting the Malthus Solution The Result of Plotting the Verhulst Solution Comparing the Models & Using the Results Comparing the Models & the Show Command The Result of Show & Predicting 1992's Population Results of Our Prediction & Prediction for 2000 AD Results of Our Prediction & Final Comments Exercise Analyzing the Sto Helit Population Main Table of Contents for All ODE Laboratories
ODE Laboratories: A Sabbatical Project by Christopher A. Barker ©2009 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA e-mail: cbarker@deltacollege.edu