Master Polar & Parametric Curves

Learn everything from Polar & Parametric curves, then test your knowledge with 160+ practice questions

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“I’m an engineering student brushing up on my calculus and this is by far the best course I have come upon so far.”

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Course Summary

Learn everything you need to know to get through Polar & Parametric and prepare you to go into Sequences with a solid understanding of what’s going on. Video explanations, text notes, and quiz questions that won’t affect your class grade help you “get it” in a way most textbooks never explain.

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Course outline

The curriculum includes:

Introduction to parametric curves
- Eliminating the parameter
- Derivatives of parametric curves
- Second derivatives of parametric curves
- Sketching parametric curves by plotting points
Calculus with parametric curves
- Tangent lines of parametric curves
- Area under a parametric curve
- Area under one arc or loop of a parametric curve
- Arc length of a parametric curves
- Surface area of revolution of a parametric curves, horizontal axis and vertical axis
- Volume of revolution of a parametric curves

Introduction to polar curves
- Polar coordinates
- Converting rectangular equations
- Converting polar equations
- Distance between points
- Sketching polar curves
Calculus with polar curves
- Tangent line to the polar curve
- Vertical and horizontal tangent lines to a polar curve
- Intersection of polar curves
- Area inside a polar curve
- Area bounded by one loop of a polar curve
- Area between polar curves
- Area inside both polar curves
- Arc length of a polar curve
- Surface area of revolution of a polar curve