The first video explains the Method of Mathematical Induction. It also gives a background of Francesco Maurolico, Pascal and John Wallis. You'll see how to apply the Method of Induction to prove the sum of odd numbers is a square.
Next, you'll prove Inequality using the Method of Mathematical Induction.
In the third video - The Principle of Strong Mathematical Induction, Fermat's Method of Infinite Descent, and the Well Ordering Principle.