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
  • Exponential and Piecewise-Defined Functions
  • Geometric Series
  • Periodically Administered Intravenous Drug
  • Maple
  • Derive
  • Exponential and Logarithmic Functions
  • Curve Fitting to Data Set
  • Logistic Growth of Bean Leaf
  • Derive
  • 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
  • Nonlinear Difference Equation Model
  • Equilibria of Difference Equation
  • Graphical Introduction to Local Extrema
  • Natural Selection
  • Optimal Mean Fitness
  • Excel
  • 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
  • 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
  • Improper Integrals
  • Discrete Approximations of Improper Integrals
  • Life Table Calculations
  • Euler's Equation
  • Stable Age Distribution
  • Net Reproduction Rate
  • Reproductive Value
  • Excel
  • Eigenvalues, Eigenvectors
  • Iteration
  • Age Structured Population Model
  • Leslie Model
  • Stable Age Distribution
  • MATLAB
  • 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
  • Nonlinear System of Differential Equations
  • Equilibria and Stability
  • Jacobians
  • Separation of Variables
  • Solutions of the System
  • Lotka-Voleterra Predator Prey Model
  • Maple
  • 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
  • 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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