Once the material on eigenvalues is reached, the project on dominant eigenvalue calculation may be undertaken, providing numerical experience that many instructors desire. Material on the Perron-Frobenius Theorem, which provides the theoretical foundation for results on dominant eigenvalues, has been included for completeness. The team approach allows students to cooperatively work on mathematical and conceptual issues. Further it is generally accepted that writing is now a beneficial part of mathematics. In these projects, the action of properly explaining and supporting ones conclusions is seen as most valuable.
Software is needed.
At WPI, we use MapleV, Matlab and Mathcad. When time permits, reviewing a first draft has substantial benefits. However, this may be a great deal of work, and the review must be returned very quickly.