During the academic year 2011-12, Dr Joel Feinstein gave five optional example classes to his second-year Mathematical Analysis students on Definitions, Proofs and Examples. Dr Feinstein recorded videos of these classes (presented here) to go along with his previous videos on 'How and why we do mathematical proofs'.
These sessions are intended to reinforce material from lectures, while also providing more opportunities for students to hone their skills in a number of areas, including the following:
•working with formal definitions
•making deductions from information given
•writing relatively routine proofs
•investigating the properties of examples
•thinking up examples with specified combinations of properties