TBIL-Calc Coordinates and Vectors (CO)

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Chapter 7 Coordinates and Vectors (CO)

Learning Outcomes

How do we use alternative coordinates and vectors to describe points in the plane?

By the end of this chapter, you should be able to...

Sketch the graph of a two-dimensional parametric/vector equation, and convert such equations into equations of only $x$ and $y\text{.}$
Compute derivatives and tangents related to two-dimensional parametric/vector equations.
Compute arclengths related to two-dimensional parametric/vector equations.
Convert points and equations between polar and Cartesian coordinates and equations.
Compute arclengths of curves given in polar coordinates.
Compute areas bounded by curves given in polar coordinates.