Text: Paul Waltman, A Second Course in Elementary Differential
Professor: W. Farr, 105A Stratton, X5496, E-mail - bfarr.
Office Hours: MWF 11-1, TR 9-11, or by appointment.
The primary goal of this course is to provide students with the
knowledge and skills needed to derive and analyze ODE models of
physical, chemical, or biological systems. This requires some
additional background on ODE's as well as some material on deriving
models and making them non-dimensionless.
We will find that this process can become rather involved, even for
relatively simple models, so a secondary goal for this course is for
you to become familiar with some computer tools. The main one of these is
the CAS Maple, which is useful for solving for steady states, plotting
vector fields, and solving (analytically and numerically) differential
Anther secondary goal is for you to work in teams on extended
problems and communicate your results orally and in writing. Analyzing
a model on your own provides a valuable experience that is a lot
different from following what I do in class!
There will be weekly homework assignments that will be collected and
graded. Some will be paper and pencil problems from the book, others
will require the use of a computer. Homework scores will count as 35%
of your final grade.
There will be two in-class exams. Each will count 20% of your final
grade. Tentative exam dates are 11-16 and 12-8.
- Major Project
You will work in teams on a major project, analyzing a particular
model. Oral and written reports will be required. This project will be
worth 25% of your final grade. Details will be provided in class
later in the term.
William W. Farr
- Week 1
- Introduction to Modeling, Systems of ODE's
Secs. 1.1, 1.2, 1.3, 1.4
- Week 2
- Constant Coefficient Linear Systems
Secs. 1.5, 1.6, 1.7, 1.8
- Week 3
- Non-homogeneous systems, periodic systems
Secs. 1.9, 1.10, 1.12, 2.1, 2.2
- Week 4
- Phase plane
Secs. 2.3, 2.4, 2.5, 2.7
- Week 5
- Week 6
- Week 7
- Project presentations