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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
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