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Master AP Calculus AB, 3rd ed (Master the Ap Calculus Ab & Bc Test) (Paperback)

~ (Author), (Author) "I like chess..." (more)
Key Phrases: wiggle graph, special limit rule, power rule for integrals, Mean Value Theorem, Trapezoidal Rule, Term Divergence Test (more...)
4.8 out of 5 stars  See all reviews (11 customer reviews)

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Product Details

  • Paperback: 672 pages
  • Publisher: Arco; 3 edition (December 15, 2002)
  • Language: English
  • ISBN-10: 0768909899
  • ISBN-13: 978-0768909890
  • Product Dimensions: 10.8 x 8.3 x 1.4 inches
  • Shipping Weight: 2.3 pounds
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (11 customer reviews)
  • Amazon.com Sales Rank: #790,981 in Books (See Bestsellers in Books)

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More About the Authors

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W. Michael Kelley
W. Michael Kelley
Mark Wilding
Mark Wilding

Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Search Inside This Book:
Inside This Book (learn more)
First Sentence:
I like chess. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
wiggle graph, special limit rule, power rule for integrals, washer method, darkened rectangle, secant line connecting, midpoint sum, extrema point, vertical tangent line, horizontal tangent lines, first quadrant bounded, secant slope, shell method, graphing calculator, primary equation, conjugate method, position equation, relative extrema, quotient rule, horizontal rectangles, accumulated area, disk method, infinite discontinuity, polar equations, use your calculator
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Mean Value Theorem, Trapezoidal Rule, Term Divergence Test, Limit Comparison Test, Minutes Number of Questions, Del Var, Pythagorean Theorem, Rolle's Theorem, Alternating Series Test, Mamma Theorem, College Board, Extreme Value Theorem, Diabolical Challenge, Intermediate Value Theorem, Law of Cosines, Odd Man Out Rule, Calculus Club, Method One, Method Two
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Customer Reviews

11 Reviews
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Average Customer Review
4.8 out of 5 stars (11 customer reviews)
 
 
 
 
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16 of 16 people found the following review helpful:
5.0 out of 5 stars Book Has Changed Title, This Edition No Longer In Print, February 11, 2005
By Michael Kelley (Prince Frederick, MD United States) - See all my reviews
(REAL NAME)   
This book is now available under a different title, "Peterson's AP Calculus AB and BC." The content is almost exactly the same--I think the "Master" series from ARCO was discontinued.
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13 of 13 people found the following review helpful:
3.0 out of 5 stars good effort, but many errors, September 23, 2005
I bought this book to study for the AP Calculus AB exam and possibly teach myself some of the BC topics. I think the book overall does a good job and is well intended, but it has various problems. First of all, it is strewn with errors. I am referring to the 3rd edition when I write about these. Some examples are:

- on page 22, there is a graph labelled as a ln graph (y=lnx), but it actually shows a square root graph (y=x^(1/2)0.

- on page 55 in Exmaple 17 it says coordinates are A (3, pi/2), B (-3pi/4,1), C (5pi/6, -2), flipping all the x- and y- coordinates with each other. (It should be A (pi/2, 3), B (1, -3pi/4) and C (-2, 5pi/6).

- on page 63 it says "AB [with arrow over it to indicate vecctor] = 7 i [i in bold] + 3j [j in bold] = 7 i [i in bold] + 3j [j in bold]". It should say "AB [with arrow over it to indicate vecctor] = <7,3> = 7 i [i in bold] + 3j [j in bold]".

- on page 83, it says "lim x -> -2 r(x) = lim x -> -2 (1/ (x-2)) = 1/ (-2 - 20) = -1/4". It should say "lim x -> -2 r(x) = lim x -> -2 (1/ (x-2)) = 1/ (-2 - 2) = -1/4"

- on page 137 we are trying to fine h'(e), but first you of course find the general formula for h'(x) and then plug in e. But whoever typed it must have thought they were all supposed to say "h'(x)". First, at the top of the page it reads "Example 14: Find h'(x) if h(x) = [equation]", and it should read "Example 14: Find h'(x) if h(x) = [equation]" since the problem ends up solving for h'(e). Then a few lines down it reads "Now find h'(e), and remember that lne=1. That will remove some of the grime. h'(x) = arc cot e [etc, rest of equation with es in it]". Again. clearly that is an equation for h'(e), not for h'(x).

- on the bottom of page 173 on example 9 of chapter 5, the tangent line equation should read "...=17.696(x-(pi/4)), but it makes some error where pi/4 is (I whited out the original and wrote that over it so I don't remember what the error originally was.)

- On page 237 on the Chapter 6 practice problem #8 the radius should be 36 feet, not whatever was written in.

And after chapter 6 it gets suddenly better. Maybe they hired a different typre for the rest of the book or something. Or maybe I just never got as far as the rest of the book/ =P

Anyway, the long and the short of all that is that if you are going to be confused by lots of typos. maybe this book isn't for you. For me, I had enough familiarity with the topics to begin with that I figured out what they meant (though it did waste a bit of my time.) However, if you don't have a good background prior to this book, things like this might confuse you (although you do have an enumeration of all the errors (well, through chapter 6 at least) right here, assuming this still coordinates with the edition of the book they're selling now. (Or maybe, of course, they've corrected these errors by now!))

On the other hand, I think it provides pretty good review in general. In the start in Chapter 2 which is Calculus Prerequiaiates (relations, functions, trig) it gives lists of all the things to memorize, in only a few places, so you have them all there to study. In addition, there is aformula page in the start of the book with the basic formulas, besides these ones which are like the pre-calc ones (trig identities, sum and diff formulas, etc).

Also, the writer attempts to write with humor and flair, to avoid the typical math-book type book. I'm not sure if this is a plus or a minus, though. His jokes are really lame, but I suppose they still do lighten up the math of it.

There are hands-on activities that attempt to get the student to figure out for themselve (sorry, him or herself) math rules by going through steps of mini-questions and then it asks you what is the relation between such-and-such or the general formula for such-and-such. I think some of these are pretty good.

And in general I think things are explained well.

Overall, I think this is a pretty good book, but there are a ton of errors. I bought it based upon the previous reviews that said it was THE calc book to buy to review for the AP exams. (BTW, I took calc, AB; I don't know how this book is for BC, though I think it would be ok, but I have heard BC is a ton harder, so I don't know. It has each section separate and the ones that are for BC only are labelled "BC Only", that's how it organizes that.) If it is true that this book is really so much better than all the otherrs, I'd say buy it in spite of the typos unless you think that would really throw you off. However, I haven't heard anything bad about the other books from people I know.... I've heard that Barron's sucks in general and Princeton Review is good, but I have no idea really. I can't imagine anything being so much better about this book than others, unless the others really suck, but I don't know. Anyway, if this book is really better I'd say go for it but otherwise it has lots of annoying errors. I give it a 3 out of 5 assuming it really is a better book in general, a 2 out of 5 if not.

Information on the book:

It has 11 chapters in 2 parts, the first being pre-calc and differentiation, the second being integration. the third part of the book is practice exams, one in AB and one in BC. I honestly never got that far and haven't looked at the practice exams; I just practiced with old exams from the collegeboard website.

Part 1
- Ch. 1: Intro to the AP Calc test, etc
- Ch 2: "Calculus Prerequiaiates" - functions, trig stuff
- Ch 3: "Limits and Continuity"
- Ch 4: "Differnetiation"
- Ch 5: "Advanced Topics in Differentiation"
- Ch 6: "Applications of the Derivative"
- Ch 7: "Integration"
- Ch 8: "Advanced Methods of Integration" (u substitution, and then mostly BC stuff, like integration by parts, improper fractions, uv substitution)
- Ch 9: "Applications of Differentiation"
- Ch 10: "Differential Equations"
- Ch 11: "Sequences and Series (BC Topic only)"
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6 of 6 people found the following review helpful:
5.0 out of 5 stars THE BEST, December 10, 2004
By iheartmath "Sandy" (Florida, USA) - See all my reviews
This is the best book out there for the AP calc test. You can probably score a 5 without taking the prep class. I have missed lessons in my ap calc ab class before (thanks to games on my ti-89 ;-) and with minimal effort and a lil time, the book basically teaches you how to do basic things like finding limits and integrals. It also expalins things in a concise manner and the author has a good sense of humor. A must for calculus and the tests are pretty good. The problems in each section with ans and explanations come in handy.
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