• 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