A P Calculus BC Summe r A ssignme nt 2017

Welcome to BC Calculus! Calculus, like all of math, builds upon itself. Thus, it is expected that you have a strong foundation from Calculus AB but rest

assured, we will make it stronger throughout the 1st semester with review of AB topics while incorporating new ideas to them.

During the 2nd and 3rd quarter we will review precalculus topics and examine the calculus that goes along with them like vectors, parametric, polar, and series.

All students enrolled in AP Calculus BC should complete this summer assignment.All answers must be justified with work (algebraically, graphically or verbally).

All justifications must be neat, complete, organized and written in the space provided.A calculator should only be used on problems where calculator use in indicated!

It is best to START working on this assignment August 1 but do not wait until the last minute to complete it.

This assignment will be checked for completeness and will be due FRIDAY AUGUST 18, 2017.

Suggested online resources: www.khanacademy.com www.sosmath.com www.purplemath.com

www.calculus-help.com

Join my remind group by going to https://www.remind.com/join/d2hc2h and you can contact me this way for questions. OR just text the following

Have a great summer and I cannot wait to see you in August!!!

These two are Inverse Trig Functions

Explain the following in calculus language (write the theorem) and in your own words (explain to someone new to AP Calc AB how to use it or determine):

Differentiable

How to determine if a limit exists

Mean Value Theorem for Derivatives

Rolle’s Theorem

Intermediate Value Theorem

Extreme Value Theorem

First Derivative Test

Second Derivative Test

L’Hopital’s Rule