View Proposal #314
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| ID | 314 |
|---|---|
| First Name | Bill |
| Last Name | Wood |
| Institution | University of Northern Iowa |
| Speaker Category | faculty |
| Title of Talk | Squigonometry: Developing non-euclidean trigonometry with elementary calculus |
| Abstract | Differential equations offers one approach to defining the classical trigonometric functions sine and cosine that parameterize the unit circle. We adapt this approach to develop analogous functions that parameterize the unit "squircle" defined by $x^4+y^4=1$. As we develop our new theory of "squigonometry" using only elementary calculus, we will catch glimpses of some very interesting and deep ideas in elliptic integrals, non-euclidean geometry, number theory, and complex analysis. |
| Subject area(s) | calculus |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | Y |
| Bringing a laptop? | Y |
| Overhead Needed? | N |
| Software requests | pdf viewer |
| Special Needs | |
| Date Submitted | 10/13/2011 |
| Year | 2011 |