Math 231 W3 Projects

Math 231 W3 Projects, Spring 2008

Complete (at least) one of the projects linked to here, and turn it on or before Monday, April 21. Projects turned in by Monday, April 7, will be returned with comments and may be revised and resubmitted for a better score.

General requirements and guidelines for projects
Further guidelines for course projects

Project #1: Gabriel's Horn and the Mysteries of Infinity, a project which examines a paradox of infinity.
Project #2: Differential Equations and the Wonderful Transform of Laplace, a good project for those interested in differential equations.
Project #3: A "Harmonic Sequence," a project on sequences in which you see what the alternating harmonic series converges to.
Project #4: Adding the Same Things and Getting a Different Answer, a project looking at a weird phenomenon in series which shows how absolute and conditionally convergent series behave differently.
Project #5: Generating Functions and a Formula for the Fibonacci Numbers, a project in which you use power series to come up with a formula for the Fibonacci numbers.
Project #6: Space-Filling Curves: Covering a Whole Lot of Ground, a project dealing with parametric curves (Sections 9.1 and 9.2), graphing, and a bit of series. Maybe one of the easier projects...maybe.
Project #7: The Cycloid: The Helen of Geometers, in which a curve with many amazing properties is examined. One of my favorite projects.
Project #8: Euler's Amazing Formula, or, Those Hyperbolic Cousins, a project that ties e, i, and pi all together and explains what sinh x and cosh x have to do with sin x and cos x.

Note: Although you must write your own project report, in your own words, and though I will test your knowledge somewhat during our one-on-one discussion, you are encouraged to ask me questions and discuss things with others as you work on your project. You're also welcome to complete more than one project. Knock yourself out!