MATH 210: ORDINARY DIFFERENTIAL EQUATIONS WITH APPLICATIONS

Spring 2010

Rebecca Vandiver

Email:  rvandiver@brynmawr.edu

Office:  Park 358

Office hours:  TuTh 9:30 - 11am and by appointment

TA:   Laura Mansfield  (lmansfield@brynmawr.edu)

Problem Sessions:   Park 336, Mon 4 - 5pm, Wed 6 - 9pm

Syllabus

Homework Assignments

Final Project Guidelines

Final Project Teams

Materials presented in class:

Fishery Model (NetLogo)

Harvesting Slides

Mathematica7 Documentation

Hodgkin-Huxley Model

YouTube Video: Killer Whale vs. Sea Lions

Shark data (Volterra's motivation)

Final Project Choices:

Biokinetics of a Radioactive Tracer

Grassland Ecosystems

HIV/AIDS (Immunological or Epidemiological Modeling)

Mite Predator-Prey Interaction

Small Mammal Dispersion

Drug Absorption Elimination

In-class group worksheets:

Modeling (created by Victor Donnay)

Existence and Uniqueness

Harvesting (created by Victor Donnay)

Bifurcations

Hodgkin-Huxley gating variables

Predator and Prey

Parametric Equations (adapted from Victor Donnay)

Linear Transformation

Eigenvalues and Eigenvectors

Phase Portraits of Linear Systems

Complex Eigenvalues

Nonlinear Systems

Numerical Tools (Mathematica file for exercises)

Equations for Mathematica (4/15)