These are videos made for AP Calculus AB. I am in the process of making this into a detailed list of the videos, roughly in the order I use them through the year, with notes.

**Algebra/Precalculus Review Videos**

- Quadratic functions review video, including a simple example of completing the square
- Graph transformations review video
- Microsoft Excel basics (not really calculus
*per se*, but I use Excel to have them do a tabular velocity investigation) - Even and Odd Functions
- Combining Even and Odd Functions
- Exponential Functions
- Composition of Functions
- Inverse Functions 1
- Inverse Functions 2
- Three Logarithm Problems (a Livescribe Pencast)
- Change of Base Formula for Logarithms

**Introduction to Derivatives**

- Secant and Tangent Slopes
- Limit Intro
- Limit of a Quotient
- Limit of a Quotient (continuation)
- Continuity Intro (part 1)
- Continuity Intro (part 2)
- Continuity for Piecewise Functions (part 1)
- Continuity for Piecewise Functions (part 2)
- Continuity for Piecewise Functions (part 3)
- Intermediate Value Theorem (part 1)
- Intermediate Value Theorem (part 2)
- Limit at Infinity Intro
- Limit at Infinity Calculation
- Limit at Infinity Jusitified
- Tangent Line Calculation with Limits
- Differentials (early intro)
- Derivative Intro (part 1)
- Derivative Intro (part 2)
- Derivative Intro (justified)
- Interpreting the Derivative
- Differentiability (and lack thereof)

**Differentiation Rules and Basic Applications**

- Specified Tangent Problems
- Harder Backwards Tangent Problems (problems such as finding a point on a graph so that the tangent line at that point passes through a given point)
- Tangent Line Master Formula
- Relative Change Intro (a topic that is hardly covered at all in most texts, including the one I use [Stewart], but which is important and leads to a way for students to discover the product and quotient rules)
- Quotient Rule Investigation (uses the idea of relative rate of change)
- Product and Quotient Rule Recap (after the above investigation)
- Marginal Cost Intro (I do more economics examples than most teachers do)
- Mass and Density of a Rod
- Chain Rule Examples (part 1)
- Chain Rule Examples (part 2)
- Derivative of a^x (a Livescribe Pencast)
- Implicit Differentiation Intro
- Derivative of a Logarithm to a base other than
*e* - Three Higher Derivative Problems
- Logarithmic Differentiation Example
- Related Rates 1
- Related Rates 2
- Related Rates 3
- Linear Approximation (part 1)
- Linear Approximation (part 2)
- Differentials

**More Applications**

- Max/min Problem
- Max/min intro
- Increase, Decrease, Concavity
- First and Second Derivative Tests
- Using Calculus to Find Features of a Graph
- Optimizing a Rectangle
- Optimizing a Divided Rectangle
- Cylinder in Sphere Optimization Problem (part 1)
- Cylinder in Sphere Optimization Problem (part 2)
- Maximizing Profit (book problem)
- Graphing with Calculus: a rational function example
- Calculator Graphing (part 1)
- Calculator Graphing (part 2)
- Graphing a Family of Cubics (a somewhat advanced example [from a book problem] that shows that even if you have a calculator, calculus is still useful for answering the deeper questions about why graphs look the way they do)
- Antiderivatives (part 1)
- Antiderivatives (part 2)
- Constant Acceleration
- Tricky Antiderivatives
- Mean Value Theorem (part 1) (Stewart puts this early in Chapter 4, for logical consistency, but I do it at the end, after doing antiderivatives)
- Mean Value Theorem (part 2)
- Mean Value Theorem (part 3)

Still to come:

**Integration**

**Basic Applications of Integration**

**Intro to Differential Equations**

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