The Complete Idiot's Guide to Precalculus

Sunday, January 24, 2010

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Polynomials, functions, and trig, oh my!

From the author of two bestselling Complete Idiot’s Guides‚ comes a book aimed at high school and college students who need course help or a brush-up. It follows a standard precalculus curriculum, includes sample problems, and will help students make sense of their textbooks. Difficult topics, such as quadratic equations, logarithms, graphing trig functions, and matrix operations are presented with W. Michael Kelley’s signature wit and wisdom.

• College enrollment is projected to increase 23% between 2000 and 2013

• According to figures released by ACT Inc., nearly 75% of all college-bound students take precalculus or calculus in high school

• Author is an award-winning math teacher recognized for his ability to make intimidating math topics approachable for even the most terrified students
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Technical Details

- ISBN13: 9781592573011
- Condition: USED - VERY GOOD
- Notes:
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Customer Buzz
 "Nice Refresher" 2009-12-25
By B. Luck
this is a nice refresher for a high school class. However if you want to truly get the concepts and learn how to prove a formula, this book isn't for you.

Customer Buzz
 "Will This book Show You Enough for Pre-Cal?" 2009-09-27
By THE HAPPY READER (UNITED STATES OF AMERICA)
First off let me invite you to recognize that different schools teach different parts of the mathematical spectrum for this course. But a very comprehensive course will essentially review the end of algebra II, some trig., then introduce some parts of calculus to give you an idea where your gonna be going with this stuff. Really though one could say it's just advanced algrebra dealing with new forms of functions.



Also let's understand that this book is not meant to be a textbook and thus will not be loaded with practice problems. That's not generally included in a study aid/self teaching guide like this. However, I do admit this book was short on the examples as well as practice problems, so I say this tongue in cheek.



So how does this book stack up? It's great! Really it is. It covers nearly everything that you'll be looking at in Pre-calculus. One thing it does skip though is Polynomial Functions. It does cover polynomials, even the fundamental theorem of algebra, but not the functions of polynomials. I've noticed that Forgotten Calculus (Barbara Lee) as well as Pre-Calculus Demystified (Rhonda Huettenmueller) do cover these.



For those of you looking for help in Trigonometry there is a small section here, which is helpful for most of trig. However when you get to identities this book won't be too helpful because it doesn't even cover the half-angle identities, sum-product identities, nor the very basic quotient identities. The last of these is almost too obvious to worry about (you'll see when you get a basic lesson on trig.), however the other two are very useful tools for proving two trig functions as being equivalent to each other. Also this section of the book should have several examples as the only way to really get to know how to work identities is to do large quantities of them, yet start doing them several examples are helpful. However you could always buy a solutions manual for trig textbooks that cover these so you could see several worked out examples. Honestly, don't expect to find any self teaching guide filled with enough examples on this particular subject.



Also I think it would be appropriate to introduce some information on Limits here and then review (and go more in depth in his calculus book). However Limits are not talked about in this book which is likely due to the fact that he talks about them in his next book The Complete Idiot's Guide to Calculus. I don't know how much detail he gets into on these in his next book, but I can tell you they're not talked about here.



It also would have been nice to have had a small introduction to sequences and sets here. But alas the book is found wanton.



I won't detail what the book does talk about since it's able to be previewed here on Amazon when you're logged into your account. However, I must say, those parts it does discuss are easy to understand. In order for this book to make it to a "self teaching guide status" it would need to have some more examples and practice problems (as mentioned earlier), but overall it will help you if you are trying to learn on your own or just need some clarification on lecture. I recommend it.



Overall I'd give this book a 4.7 if I could because I think that some parts could use a bit more expansion, like more examples as noted earlier , but gave it 5 stars because (can't choose 4.7 anyhow) it still is a worthy supplement.

Customer Buzz
 "The complete idiot's guide to precalculus makes me not an idiot anymore." 2009-05-15
By Chuck (Charlotte, NC)
I think this is a good book. I am always looking for ways to describe or discuss the Precalculus topics to my students. This book allows me to teach the same topics as before but allows me to word them in a different way. I like the book. I would prefer more practice examples.

Customer Buzz
 " A Personal Tutor" 2009-02-08
By Richard J. Cuffe (Norfolk, VA USA)
Grandson is High School senior and intimidated by first two weeks in his Pre-Calculus class. Am confident this will help him get a grasp. The book arrived quickly and in New condition

Customer Buzz
 "Easy to Understand" 2008-08-31
By Dean M. (NYC)
This is the best book to start heading into calculus. Every subject in precalculus had been made very easy to understand with precise examples and answers to all examples in the appendix WITH detailed explanations. There was not one subject in this book that I could not understand. I used it primarily as a review since it has been 3 years since I touched calculus, but the material was presented very down to earth.












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Pre-Calculus For Dummies

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Getting ready for calculus but still feel a bit confused? Have no fear. Pre-Calculus For Dummies is an unintimidating, hands-on guide that walks you through all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations.

With the help of this clear, easy-to-use resource, you’ll soon get a handle on all of the concepts — not just the number crunching — and understand how to perform all pre-calc tasks, from graphing to tackling proofs. You’ll also get a new appreciation for how these concepts are used in the real world, and find out that getting a decent grade in precalc isn’t as impossible as you thought. Discover how to:

  • Apply the major theorems and formulas
  • Understand quadratic, square-root, absolute value, cubic, and cube-root functions
  • Graph trig functions like a pro
  • Flip-flop with inverse functions
  • Find trig values on the unit circle
  • Work with trig identities and advanced identities
  • Tackle analytic geometry
  • Solve oblique triangles with the laws of sines and cosines
  • Use polar coordinates to express points on a plane
  • Identify function limits and continuity
  • Place vectors on a coordinate plane.
  • Rotate and shift conic section forms
  • Solve systems with mingling and matrices

If “the fun and easy way to learn pre-calc” seems like an oxymoron to you, order Pre-Calculus For Dummies today, and get ready to be surprised!
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Technical Details

- ISBN13: 9780470169841
- Condition: USED - VERY GOOD
- Notes:
- Click here to view our Condition Guide and Shipping Prices
See more technical details
Customer Buzz
 "Excellent Excercise Book but some mistakes and no errata???" 2009-06-06
By Mario Ghecea (Burbank, CA)
It seems the authors break their own rule in the first chapter on PEMDAS. This is a simple problem, but they wrote it out wrong in answers where they perform addition and subtraction first before multiplication. I think it should be the other way around. i.e. Ex 4 - Ch 1. abs(5 * 1 - 4 + 6) = 7 not 9. Every monkey knows multiplication is performed first. I'm not sure what the authors were thinking starting with subtraction first???I'm kinda blushing here...I punched this into my TI-89 Titanium and I get the same answer as I had come up with for the nominator. Calculators follow PEMDAS rule, so am I missing something here? Please, put an errata up people and have a forum, otherwise your books are useless. This is a refresher for me as I'm going in for calculus next fall. Mistakes as such would flunk a student in those courses...

Customer Buzz
 "Another error from this book" 2009-01-16
By Reviewing for Calc Class (USA)
p. 107

#4

"Figure 5.5 illustrates this last step, which yields the parent log's graph". If you look at the graph, it is labeled f(x)=log^x. The parent log being graphed is f(x)=logx. Two very different equations.



I checked Wiley's website. I cannot find errata for this book.

Customer Buzz
 "Dummies" 2008-09-18
By TLM (Miami, FL USA)
I translate for engineering students from foreign countries, and I use this book to help me with my limited knowledge of Calculus, pre-Calculus, etc. I find all the "for Dummies" series very helpful.

Customer Buzz
 "Good book but not perfect" 2008-05-26
By Bruno
The aim of this book is to introduce the subjects of pre-calculus in an easy, yet complete way. For the most part it accomplish it's objective, nevertheless, it has some typos and errors that will cause the student to get confused (i.e. the first time the student is shown the formula for the difference of cubes the book says something like this (a-b)(a^2+ab+b^3) which is wrong and in latter examples the formula takes the correct form of (a-b)(a^2+ab+b^2) which causes some confusion). Overall, this is a very good book specially for a review of the subjects.



UPDATE

P.105 Changing a Log's Base

log5/log3 does not equal ln3/ln5... it should read log5/log3 = ln5/ln3.


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Homework Helpers: Pre-Calculus

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This new title in the Homework Helpers series will reinforce mathematical foundations and bolster students' confidence in pre-calculus. The concepts are explained in everyday language before the examples are worked. Good habits, such as checking your answers after every problem, are reinforced. There are practice problems throughout the book, and the answers to all of the practice problems are included. The problems are solved clearly and systematically, with step-by-step instructions provided.

Particular attention is placed on topics that students traditionally struggle with the most. While this book could be used to supplement standard pre-calculus textbooks, they could also be used by college students or adult learners to refresh long-forgotten concepts and skills.

Homework Helpers: Pre-Calculus is a straightforward, understandable, and thorough review of the topics in a typical pre-calculus class, including:
-Linear functions
-Polynomials
-Rational functions
-Exponential functions
-Logarithmic functions
-Systems of equations
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Technical Details

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Customer Buzz
 "EASY TO FOLLOW: what I need" 2008-04-26
By G. Codougan (New York, NY)
This book is excellent. I needed something to help me prepare for my college algebra and trig class and this was the perfect selection. The author is avoids using fancy math lingo and explains everything in an easy format. It really feels like I have personal tutor and honestly, this book is probably better than some professors who teach college math classes. I would recommend this book to ANYONE who struggled with college algebra and pre-cal or needs a refresher in this subject for any entrance exams (nursing, etc). All the homework helper series are amazing, as well.


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