Abstract
SummaryConsider Hathaway’s classical dog-and-duck problem: if a swimming dog heads directly toward a swimming duck, what is the path taken by the dog? Assuming a “slippery” duck is traveling along a smooth enough closed curve, using a combination of computer-based exploration and Brouwer’s fixed point theorem we obtain a general result regarding the long term behavior of the dog. The proof of our slippery duck theorem relies mainly on familiar theorems from calculus. This topic lends itself well to undergraduate level student exploration.
Published Version
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