• The videos embedded below are provided to offer support for this course. They are in the following order.

The Existence Theorems (MVT Notes)
• Intermediate Value Theorem
• Rolle's (not on the assignment) and Mean Value Theorems

Extrema on an Interval (Notes, Assignment)
• Critical Numbers and Absolute Extrema
• Absolute Extrema Examples Part 1
• Absolute Extrema Examples Part 2

First Derivative Test (Notes, Assignment)
• The First Derivative Test Graphically
• The First Derivative Test Analytically, Part 1
• The First Derivative Test Analytically, Part 2

Concavity, Points of Inflection, and the Second Derivative Test (Notes, Assignment)
• Concavity and Points of Inflection Analytically, Example 1
• Concavity and Points of Inflection Analytically, Example 2
• Concavity and Points of Inflection Analytically, Example 3
• The Second Derivative Test
• The Second Derivative Test Numerically

The Existence Theorems

Extrema on an Interval

First Derivative Test

Concavity, Points of Inflection, and the Second Derivative Test