402.4Y2 Compact Sets and the Extreme Value Theorem

0:00 Introduction
1:11 When Is Global Max / Min Optimization Possible?
1:47 Some Ways Optimization Might Fail
5:18 The Extreme Value Property on [a,b]
7:21 Statement: Extreme Value Theorem
8:46 Proof of Extreme Value Theorem
12:13 Wrapup and a Look Ahead