# Cracking the AP Calculus AB Exam PDF

Download Cracking the AP Calculus AB Exam PDF book free online – From Cracking the AP Calculus AB Exam PDF: The AP Calculus AB course and exam have changed! Created to align with the new exam content, and written by the experts at The Princeton Review, *Cracking the AP Calculus AB Exam* arms you to take on the test with: **Buy From Amazon**

Table of Contents

## Description of Cracking the AP Calculus AB Exam PDF

*Everything You Need to Know to Help Achieve a High Score.*

• Up-to-date information on the new 2017 AP Calculus AB Exam

• Comprehensive content review for all test topics

• Engaging activities to help you critically assess your progress

• Access to AP Connect, our online portal for late-breaking news, exam updates, and more

*Techniques That Actually Work.*

• Tried-and-true strategies to help you avoid traps and beat the test

• Tips for pacing yourself and guessing logically

• Essential tactics to help you work smarter, not harder

*Practice that Takes You to Excellence.*

• **3 full-length practice tests** in the book with detailed answer explanations

• End-of-chapter and comprehensive unit drills

• Handy reference guide of key calculus formulas

### Review of Cracking the AP Calculus AB Exam PDF

My son is currently taking Calculus AB and will be moving into Calculus BC, I purchased about 5 different prep books to help him prepare for the exam (both AB, BC, and Clep). At first, I thought going with the BC book would suffice for questions for the AB part of the exam and for most people, if you are doing both, you can get by with just the BC book. However, since my son’s teacher asks questions from actual AP tests on his exams, I could not find enough Free Response AB questions in the BC book, so I bought the AB book also to get more questions. There is a lot of overlap in content in both the books by the same author.

However, this is HANDS DOWN the best book from all the different groups in terms of questions, examples, preparation, etc. If you only buy one book, THIS (or the BC version) is the one to get. It comes with a good review of each unit, problems to practice for each unit and shows you the answers worked out for each set of problems. It also has 3 full practice tests with the problems worked out. I really liked that once you worked through them all you could find patterns of the types of problems to expect and how to do them. I feel that this book will prepare my son better than any of the other books we have for AP Calculus.

He is also going to go ahead and take the Clep exam and we have a different book for that, the Clep, has a slightly different “flavor” than the AP Calc so if you are considering that test in addition or instead of, I would still suggest this book and the books with practice clep tests. This still helps you better than any clep books in overall review but the clep books will help you prepare for their type questions. The BC book, as I said, repeats content but adds the extra units with sequences and series and the few other topics scattered throughout such as parametric equations, etc.

### Review

After working through the entirety of *The Princeton Review: Cracking the AP Calculus AB & BC Exams*, I found the explanations to be thoroughly clear and informative. Additionally, considering how many mathematics books I’ve worked on, I’ve never seen the details in the solutions to be so clear as I have with this one. I am very pleased with the overall knowledge that I’ve accrued from it.

The topics I had struggled with the most in the past were Solids of Revolutions and Series. *The Princeton Review: Cracking the AP Calculus AB & BC Exams* has finally made the former abundantly clear so that I was able to overcome it, and now I can find solids of revolutions through washer and cylindrical shells methods with confidence. The latter, I found the treatment of series to be quite lazy. That’s Chapter 35. How can the author omit divergence and p-series tests? Inexcusable. The chapter should have been broken down into two chapters with more examples: the first dealing with easier types of series and the second, harder ones. But the treatment of Taylor and Maclaurin series was not bad at all. Also, the author was lazy in the volume of solids with known cross-sections; he just merely copied the questions for examples 9 and 10 but failed to explain why we had to multiply by 2 with y. That wasn’t clear enough.

In the solutions, especially for the BC Section II questions, the author will say, “Obviously, we don’t need to..” and then move on. Uh…explain the obvious, will you? Speaking of laziness, how about the Section II questions in BC examinations? Why did the author have to repeat the questions already asked in AB examinations? What a waste of questions. Worse than that, the solutions for the same questions were given: the first one was correctly done and the other one had an incorrect final solution. I am a little disappointed in looking at the specific type of several questions from the AB/BC examinations because the logic is: I should have been prepared by the book to encounter these questions yet they weren’t covered anywhere in the past chapters.

Now, I want to compare *The Princeton Review: Cracking the AP Calculus AB & BC Exams* with the other two AP Calculus Study Guide books: *Peterson’s* and *Be Prepared for the AP Calculus Exam*. I haven’t worked on the *Barron’s* yet, but I have a feeling that one will be the superior guide of any.

Suppose I was in the shoes of a tyro who has fallen so behind in Calculus or has a horrible teacher. *The Princeton Review: Cracking the AP Calculus AB & BC Exams* is my highest recommendation because it really covers the basics in the most painless way. In fact, anyone taking Calculus I, II, or III should get this too; it’s so much easier to understand. I know there will be people complaining that *The Princeton Review: Cracking the AP Calculus AB & BC Exams* is just too easy and covers the basics. Then, they should refer to *The Humongous Book of Calculus Problems* which was written by the same author of *Peterson’s*. Both books have more or less the same problems, but the details in Humongous are more extensive, and the problems are a lot more difficult. Nevertheless, get the Peterson’s for the sample tests. Finally, *Be Prepared for the AP Calculus Exam* is reserved for those who are very familiar with the very technical details and want to cover all bases as possible.

All in all, *The Princeton Review: Cracking the AP Calculus AB & BC Exams* is an outstanding study guide for Calculus regardless if one is taking the AP exam or not. Really, be sure to know all of the concepts (I don’t care if you are taking AB or BC. This is Calculus at its finest.)

As for the Editions, (9th, 10th, 11th, 12th, 13th, 14th, whatever), they are the same with only one difference: a new cover with the changed edition number. Really, there should have been few more topics included (such as logistics and accumulation) in the book. After you finish the book, you should move up to the next level of AP Calculus study guide books to further indurate your foundation, and never forget to go to the AP website to work on the samples of free-response questions.

Errata

Pg. 14: Example 1, Condition 2: “The right hand limit is…” There should have been a +, not -, at the top corner of 2 at the bottom of the lim portion.

Pg. 217: Problem 7. “All we have to do is evaluate…” There should be a square sign for the parenthesis in the integrand.

Pg. 251: Continuation of Example 1. “Finally, take the limit as a tends to 4:..” The final solution is a mess. It should be “= 2pi + 4” at the end.

Pg. 254: Number 7. No square root in the denominator. Take it off.

Pg. 278: “The harmonic series, for example, looks like this:” All plus, not minus, signs!

Pg. 282: Example 5. “Determine whether the series 1 – ½ + 1/3 – 1/4 +…” Fix that!

Pg. 287: In the gray box, although I am a stickler, it should have been a “-“, not “+”, before the ellipsis for sinx and cosx.

Pg. 416: Number 2. “We take the derivative of the numerator and the denominator” It should be pi, not 0, in the bottom of the lim portion throughout. Then, plug the pi in to get -1, not 1.

Pg. 593: Continuation of Part c of Number 5. The points of inflections are (plus/minus sqrt(1/3), -1/9), not (plus/minus sqrt(1/3), -sqrt(1/9))

Pg. 594: Part c of Number 6. During the Step 1, the top part of the integral sign should be 4pi, not 4x. Follow that throughout the next line.

Pg. 665: Number 18. It should have been f'(-4), not f'(4). That was annoying.

Pg. 672: Number 34. “By the graph of..” It should be y = e^(-x^2/4).

Pg. 786: Part b of Problem 3. You just solved it earlier with the correct solution! It should be -48pi on the left side to get the solution of dr/dt = -1/16 ft/sec. (two people working on the tests, mm?)

I haven’t looked at every detailed solution for the chapters because when I got the answer right, I moved on.

***3/29/14*** I reviewed one problem from Section II of AB Exam concerning about the methane accumulation, part c where it asks “What is the average rate of methane accumulation in the cave over the time interval 0 =< t =< 24 hours?” The solution is wrong. It should be [20 + int of r(t)dt from 0 to 8 + int of (r(t) – 1.5)dt from 8 to 24] / (24 – 0) = 1.099 liters per hour.

### Review of Cracking the AP Calculus AB Exam PDF

The content is okay, but the practice questions in the chapters aren’t like on the real test. There are no multiple choice answers or multi-part free response questions (except in the 3 practice tests). Instead, the questions are just like in the homework sections of a regular text book.

Also, there is no information on how or when to use a graphing calculator. There are some calculator “skills” required for the test:

Plot the graph of a function within an arbitrary viewing window

Find the zeros of functions (solve equations numerically)

Numerically calculate the derivative of a function

Numerically calculate the value of a definite integral

This book does not cover this material, except occasionally mentioning the calculator in the solutions to random questions.

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### About the Author

The experts at The Princeton Review have been helping students, parents, and educators achieve the best results at every stage of the education process since 1981. The Princeton Review has helped millions succeed on standardized tests, and provides expert advice and instruction to help parents, teachers, students, and schools navigate the complexities of school admission. In addition to classroom courses in over 40 states and 20 countries, The Princeton Review also offers online and school-based courses, one-to-one and small-group tutoring as well as online services in both admission counseling and academic homework help.

### Biography

The experts at The Princeton Review (www.princetonreview.com) have been helping students and professionals boost their exam scores and get into their dream schools since 1981. We provide the tools needed for success in high school, college, graduate school, and beyond, and help our students become well-rounded applicants with guidance tailored to today’s academic challenges.

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