Biocalculus Laboraboratory Projects

These projects were created for the Biocalculus courses at Benedictine University and College of DuPage. All projects were written by Timothy D. Comar unless noted otherwise. These files are in the process of continual updating. Comments are welcome.

 Project Mathematics Biology Platform Drug Concentration: Modeling with Functions Exponential and Piecewise-Defined Functions Geometric Series Periodically Administered Intravenous Drug Maple Derive Bean Leaf Growth Exponential and Logarithmic Functions Curve Fitting to Data Set Logistic Growth of Bean Leaf Derive Regression, Nonlinear Scales, Allometry (with Lisa Townsley) Regression and Curve Fitting to Data Set Nonlinear Scales Power, Exponential, and Logarithmic Functions Trigonometry (Data Collection Version) Allometry (Scaling Relationships) Allometric Relationship between Tree Heights and Diameters Modeling the Number of AIDS cases Measuring Tree Heights and Diameters (Data Collection Version) Maple and Excel Classical Natural Selection via Difference Equations Nonlinear Difference Equation Model Equilibria of Difference Equation Graphical Introduction to Local Extrema Natural Selection Optimal Mean Fitness Excel Stability in the Ricker's Curve Model Stability of Equilibira of Difference Equations Cobwebbing Ricker's Curve Model for Population Growth Maple Logistic Population Growth (with Lisa Townsley) Slope (Direction) Fields Equilibria and Stability Phase Line Analysis Euler's Method Logistic Differential Equation for Population Growth Maple Logistic Population Growth with Harvesting (with Lisa Townsley) Slope (Direction) Fields Equilibria and Stability Phase Line Analysis Euler's Method Bifurcation Diagrams Logistic Differential Equation for Population Growth Logistic Equation with Harvesting Maple Introduction to Life Tables Improper Integrals Discrete Approximations of Improper Integrals Life Table Calculations Euler's Equation Stable Age Distribution Net Reproduction Rate Reproductive Value Excel Matrix Models Eigenvalues, Eigenvectors Iteration Age Structured Population Model Leslie Model Stable Age Distribution MATLAB Host Parasitoid Models Nonlinear System of Difference Equations Equilibria and Stability, Jury Test Jacobians Host Parasitoid Models Nicholson Bailey Model Other Models Excel and Maple MATLAB and Maple Lotka-Volterra Predator Prey Model Nonlinear System of Differential Equations Equilibria and Stability Jacobians Separation of Variables Solutions of the System Lotka-Voleterra Predator Prey Model Maple Lotka-Volterra Interspecific Competition Model Nonlinear System of Differential Equations Equilibria and Stability Jacobians Solutions of the System Lotka-Volterra Interspecific Competition Model Monoculture Equilibria Coexistence Competitive Exclusion Founder Control Maple Predator Prey Model and Enrichment Nonlinear System of Differential Equations Equilibria and Stability Jacobians Solutions of the System Predator Prey Model Enrichment Persistence Extinction Maple

This work is currently funded by NSF CCLI Grant #DUE-0633232, "Biocalculus: Text Development, Dialog, and Assessment." The project summary for the grant proposal is located here. For additional information, please contact the organizer of the seminar, Tim Comar, at tcomar@ben.edu or (630) 829-6555.

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