AP Calculus BC – Summer Assignment

You have chosen to participate in a College Level Mathematics course. This summer work

will serve as an example of the type of assignment and effort that will be expected of you

throughout the new school year. The majority of the topics covered on this summer

assignment will NOT be re-taught, and an extensive individual review may be necessary

using your notes from last year. It will be your responsibility to make certain that you

know and understand this material.

The summer assignment will not be collected. Instead, a quiz worth approximately 40

points based on the summer assignment material will be given within the first week of

school.

Solutions to the odd numbered textbook problems are available for free on the web at

www.CalcChat.com or www.hotmath.com . Choose the textbook Calculus 9th edition by

Larson. When using CalcChat, use the red circular button with the four yellow arrows to

scroll down through the problem. To use HotMath, you need the password dccs462. When

you choose a problem, if it does not appear to be the correct problem, adjust the number

up or down until you get the correct problem.

A TI-89 Graphing Calculator is REQUIRED for this class. Prior to class in September,

make sure you are familiar with a TI-89 and are able to use it on problems dealing with the

following topics:

o Graphing functions

o Finding intercepts

o Finding relative maximums and minimums

o Finding the intersections of graphs

o Using the TABLE feature

o Using the SOLVE feature to solve equations

Assignment: All questions should be completed without a graphing calculator unless otherwise specified.

Section P.3 – Functions and Their Graphs: pages 27-30

Section 1.2 – Finding Limits Graphically and Numerically: page 54-58

Section 1.3 – Evaluating Limits Analytically: pages 67-69

Section 1.4 – Continuity and One-Sided Limits: pages 78-82

Section 1.5 – Infinite Limits: pages 88-90

Chapter 1 Review: pages 91-92

Section 2.1 – The Derivative and the Tangent Line Problem: pages 103-106

Section 2.2 – Basic Differentiation Rules and Rates of Change: pages 115-118

Section 2.3 – The Product and Quotient Rules & Higher Order Derivatives:

pages 126-129

Section 2.4 – The Chain Rule: pages 137-140

Section 2.5 – Implicit Differentiation: pages 146-147

Section 2.6 – Related Rates: pages 154-157

Chapter 2 Review: page 160