Chapter 11 – The Calculus of Parametric and Polar Equations
This chapter starts with the fundamentals of parametric equations – graphing and eliminating the parameter. Then you will see how simple and awesome derivatives, integrals, and related concepts are with parametric equations. From there it is straight off to vector-valued functions with a focus on position, velocity, and acceleration vectors, speed, and distance. You are then ready to tackle the basics of graphing points in polar form. Next it is a logical hop to graphing all the basic polar equations – lines, circles, limacons, and petal (rose) curves. Then you will see how polar differentiation is related to parametric equations. The second to last lesson is all-time!!! It is a journey through area of polar curves! The chapter rounds out nicely with original BC Exam practice on parametric and polar equations and vectors. What are you waiting for?!? Get learning!