View Proposal #279
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ID | 279 |
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First Name | Christian |
Last Name | Roettger |
Institution | Iowa State University |
Speaker Category | faculty |
Title of Talk | Recurrences, power series, and ODE |
Abstract | A three-term recurrence is connected to a power series, which solves a second-order ODE. The recurrence can be helpful in solving the ODE explicitly, and in approximating the power series. As is well-known, its growth rate is related to the radius of convergence of the power series. We will use a simple example straight from the textbook to investigate this in the case of a recurrence with *non-constant* coefficients. While the growth rate turns out to be surprisingly resistant to attack, it has great potential to be explored experimentally as well as theoretically - an opportunity for open-ended student projects. |
Subject area(s) | ODE, recurrence, power series, experimental mathematics |
Suitable for undergraduates? | Yes |
Day Preference | |
Computer Needed? | N |
Bringing a laptop? | Y |
Overhead Needed? | N |
Software requests | |
Special Needs | |
Date Submitted | 10/4/2010 |
Year | 2010 |