1. Derivative of a Function: This section introduces the concept of a derivative by its definition, notation, and applications in analyzing the graph of a function.
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2. Differentiability: Here we talk about functions that are differentiable, and those that are not--specifically looking at corners, tangent lines with undefined slopes,
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3. Continuity: This section includes a discussion of the concept of continuity, including continuous graphs, asymptotes, points of discontinuity and other reasons for discontinuity. The intermediate value theorem will also be introduced.
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4. Rates of Change and Tangent Lines: Here we will be talking about average rates of change, the slope of a curve at a point, the equation of a tangent line to a curve, and the equation of a normal line to a curve.
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5. Review for Test