AP Calculus Summer Assignments - Fairfield College Preparatory

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AP Calculus 2009-20010 Information Sheet
Text Name: Calculus: Graphical, Numerical, Algebraic 3rd edition @2007
Authors: Finney, Demana, Waits, and Kennedy
ISBN: 0132014084
Welcome to AP Calculus! Yes, I know you’re enjoying your summer vacation but I
also want you to be well prepared for our initial classes in the fall. You should visit
the AP Calculus AB website hosted by College Board. It will provide detailed
information about their expectations regarding what a student should know prior to
starting AP Calculus and what a student should expect to learn. Note that it is
expected that a student is able to find zeros and evaluate certain trig and
exponential and log functions without the aid of a calculator. The link is:
http://www.collegeboard.com/student/testing/ap/sub_calab.html?calcab
Limits, our first calculus topic, will require that you are able to use concepts from
trigonometry, exponential and logarithmic functions. A brief review of this material
can be found in Chapter 1 of the calculus text. The AP Calculus class does
not review the material in Chapter 1. It is expected that you will purchase your
text in well in advance and review the material prior to our first meeting.
Listed below are suggested problems for you to review from Chapter 1. You may
need to do more problems than are listed if you find any of the material particularly
difficult or of your recall is poor. You may consider forming a study group to make
the task easier. You should pace yourself so that you can complete your review
prior to the start of school. These problems will not be collected or discussed in
class but will be quizzed on within the first week of class.
Chapter 1: Review Assignments
Pg. 11 # 47 -52
Pg. 45 # 52-57
Pg. 21 # 57-62
Pg. 54 # 50 – 55
Pg 28 # 41 – 46
Pg. 55 # 1-4
Pg. 29 # 1-4
Pg. 57 # 66, 68-70
The worksheet on the other side provides some sample pre-calculus topics found in
Chapter 1. It is expected that you can answer these questions without the use of a
calculator. You will discover that your ability to answer many calculus questions will
depend upon your ability to answer these fundamental pre-calculus questions. The
topics mentioned on the worksheet, will be necessary for your first quiz in Calculus.
REQUIRED ASSIGNMENT: Read Pg. 59 & 60 and then DO problems # 2& 4 on Pg
66. Write out your solutions to the problems in detail. THIS ASSIGNMENT IS DUE
ON THE FIRST DAY THAT I MEET YOU or take a ZERO!!! ( Remember: It is
expected that you will get your book early or you will copy the needed pages from
someone who has a book – no excuses! )
Good Luck,
Ms. Bohan
Pre-Calculus Review
It is expected that you are able to answer all questions without the use of a
calculator.
Part 1 Evaluate
 
sin  
2
cos  
 
tan  
4
 
sec  
4
 
cot  
6
tan  
ln e
ln1
ln
1
e4
Part 2 State the domain and range of each of the following functions
f ( x)  sin x
g ( x)  tan x
p( x)  sec x
f ( x)  e x
f ( x)  x  3
g ( x)   x 2 +5
f ( x)  ln x
Part 3
Sketch a graph without the aid of a calculator
 x 2  1 x  0
f ( x)  

 3  x x  0
sin x
f ( x)   x
 e
x  0

x  0
  x  12

f ( x)   4  2 x

 x  2
cos x
f ( x)  
 ln x
x  0

x  0
x0 

0  x  2

x2 

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