Mathematics & Science Learning Center Computer Laboratory
	Applications—Population Dynamics CONTENT GUIDE for POPULATION DYNAMICS LABORATORY Theoretical Introduction Plotting the Actual Data with Mathematica Acccessing Wolfram's Curated Database The Syntax of CountryData and the Population of the United States Applying QuantityMagnitude Extracting the US Census Data from the Database Using ListPlot to Graph 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 Using Solve to Find k The Result from Solve Subbing the k-value 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 Using FindRoot Results for a & b and Substituting Them into the Solution Results of the Substitution & Plotting the Verhulst 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 2050's Population Results and Analysis of Our Predictions & Intro to Curve Fitting Curve Fitting the Malthusian Model Intro to FindFit and a First Attempt FindFit's Silly Result & an Attempt to Improve It A Second Attempt with FindFit Best Parameters Found and Used Plotting the Best-fitting Malthusian Model The Graph of the Best-fitting Malthusian Model Comparing the Best-fitting Malthusian Model to the Data Curve Fitting the Verhulst Model A First FindFit Attempt FindFit's Silly Result & an Attempt to Improve It Best Parameters Found and Used Plotting the Best-fitting Verhulst Model The Graph of the Best-fitting Verhulst Model Comparing the Best-fitting Malthusian Model to the Data & Predicting 2050 The Results of the 2050 Predictions Exercise Analyzing the Libyan Population 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