Unit 9 – Parametric Equations, Polar Coordinates, and Vector-Valued Functions

Unit 9 includes all the topics listed in the title. These are BC only topics (CED – 2019 p. 163 – 176). These topics account for about 11 – 12% of questions on the BC exam. Comments on Prerequisites: In BC Calculus the work with parametric, vector, and polar equations is somewhat limited. I always…

Extreme Polar Conditions

Looking at the graphs of polar curves can be quite fascinating. Doing “calculus” kinds of things is different, yet the same as in Cartesian coordinates. A discussion on the AP Calculus Community here got me thinking about extreme values of polar functions. The terms maximum and minimum here refers to the value of r(θ) which…

Parametric Equations, Polar Coordinates, and Vector-Valued Functions – Unit 9

Unit 9 includes all the topics listed in the title. These are BC only topics (CED – 2019 p. 163 – 176). These topics account for about 11 – 12% of questions on the BC exam. Comments on Prerequisites: In BC Calculus the work with parametric, vector, and polar equations is somewhat limited. I always…

Polar Equation Questions (Type 9)

AP  Questions Type 9:  Polar Equations (BC Only) Ideally, as with parametric and vector functions, polar curves should be introduced and covered thoroughly in a pre-calculus course. Questions on the BC exams have been concerned only with calculus ideas related to polar curves. Students have not been asked to know the names of the various…