Approaches to Problem Solving in Applied Mathematics

The aim of the course is to illustrate through the examination of unsolved (but elementary) problems the ways in which professional applied mathematicians approach the solution of such questions. Ideas considered include: choosing the "simplest" nontrivial example; generalization; and specification. Ways to think outside convention. Some knowledge of probability and linear algebra helpful. Suggested reading. "How to solve it", G. Polya "Nonplussed", Julian Havil