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1. Understanding parametrized curves
Terminology and examples
Tangents to parametrized curves


2. Understanding polar coordinates
The description of polar coordinates
Graphs of equations in polar coordinates


3. Calculating tangents and area in polar curves
Tangents to polar curves
Area in polar coordinates


4. Calculating the length of a parametrized curve
Arc length of parametrized curves
Arc length in polar coordinates


5. Introduction to conic sections as parametrized curves
Parabolas
Ellipses
Hyperbolas


6. Introduction to conic sections as polar coordinates


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