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Functions and notation
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Functions warm-up
The algebra and precalculus moves you will use on every calculus problem.
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Limits
What happens as you get closer and closer. The idea every other calculus topic is built on.
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The derivative
From average speed to the exact slope at a single point.
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Derivative rules
Shortcuts that let you differentiate almost anything in seconds.
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Applications of derivatives
Use derivatives to find peaks and valleys, solve real problems and tame tricky limits.
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Integrals
Run derivatives in reverse, measure area, and meet the fundamental theorem.
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Applications of integrals
Use integrals to find areas, averages, distances and volumes.