The first chapter is actually a Chapter Zero, covering review topics in the event students have not had mathematics for a while. These include topics such as fractions, decimals, percentages, estimation, and basic arithmetical functions. The chapter is a bit disorganised (however, every class seems to have a different intuitive feel for mathematics, so I have not discovered that one system of rearrangement that works for all classes).
The following chapters cover the major topics of Algebra systematically: Real Numbers and Variables; Equations and Inequalities; Applied Problems (this is the dreaded `story problem' chapter, where most students who seek tutoring first seek it out); Exponents and Polynomial expressions; Factoring (another major area of problem for students); Rational Expressions/Equations; Graphing and Functions (the third primary area of problem for students); Solving Systems of Equations; Radicals and Roots (including some basic geometry via the Pythagorean theorem); and finally Quadratic Equations.
Each of the sections includes pretests, post-tests and reviews, and plenty of problems to be solved to reinforce the mathematical principles being presented. There are a few issues with the organisation that we address in the course (sometimes the introduction of square roots and radicals needs to be advanced to assist in the discussion of factoring, for example), but these are fairly minor and can be adjusted as the instructor and/or course planner desires.
Each of the chapters deals with things in a mathematical as well as an 'English' way - explaining in words the concepts and operations being carried out in the numbers. Each section of each chapter covers only a few key concepts, with enough problems for solving that reinforce the principles thoroughly. Each section also as word problems (story problems) to test the real-world applicability of the numerical/mathematical concepts being presented, so when students ask (as they always do and shall), 'When am I ever going to use this?' there are examples drawn from typical situations.
Tobey and Slater have also worked to make various connections with geometry, graphs and charts, tables, as well as internet resources to provide the most up-to-date and useful text. There are specific problems along the way that assume the use of calculators (as most of real-life mathematics now involves calculators).
The book's design is interesting from a graphic-design standpoint, but from the standpoint of clarity to the students, the pages are a bit `busy'. While I appreciate the need to reduce the number of pages in an effort to keep the costs down (text-book prices are typically higher than popular-book prices, and this text is no exception), more white space on the pages would probably help the accessibility and make it a little less intimidating.
Most students who take the Beginning Algebra class using this text who then move on to the Intermediate Algebra class (which is the course level of mathematics required of most every degree programme at our college) find that, in many respects, they have already mastered the key concepts of Algebra, and find Intermediate to be new applications and more complex problems of similar principles they have already learned. In that respect, this text is a good one, and serves the students well.
which would eliminate the need for parentheses ( confusing for the beginner) and also conform to our newer calculators displayal of signs and operations.Quite a few of the word problems are confusing or imprecise so I tend to avoid these. A good example is on page 50 problem #28: "In a recent tire inspection for Ford Explorers, local dealers found that 12% of the treads were defective. For each Explorer that was defective, the dealer offered immediate replacement of all five tires (including the spare ).If the local dealers inspected the tires on 450 Explorers, how many new tires did they need?" The authors insist that the correct answer is 270, but I am not so sure....
I can go on about the cluttered appearance of this book, distracting photos, drawings,etc.
but it would be pointless.However, overall the editing is excellent with very few errors. [a glaring exception is problem #29 on page A-23 ].I would like to end this review with mention of the kind of writing I strenuously object to in a first course in algebra. On p. 526 is a discussion of complex numbers, which is irrelevant to the needs of the student:
"Thus the [square roof of minus 4 ] is not a real number...You may encounter a more sophisticated number system called complex numbers in a higher-level mathematics course. In the complex number system, negative numbers have square roots."
But in Chapter 10, when solving for roots of a quadratic, the authors reject imaginary solutions , so that this topic need never be mentioned in the main body of the text.
The Best.......2001-04-14
i read this book and it is the best. it improves your grades
Customer Reviews:
Love the book... but don't buy it. All you need is the access code!.......2007-08-15
This is a great text. The one semester I taught out of it, I thought it was fantastic. And then I discovered CourseCompass/MyMathLab multimedia software that accompanies (or better yet replaces) this text. I will never require the paper text again!
After purchasing an access code for MyMathLab, stuents can read this text online, work interactive mastery problem sets, and view video clips to help with problems. Using the software is like working with a tutor. Students get immediate feedback as well as helpful hints and even worked examples. They will never run out of practice problems because the software randomly generates them.
Homework is graded automatically, and yes, that's less work for me. But more importantly, I get honest easy-to-interperite feedback about my students' performace. I can see exactly what my students are struggling with and WHY. For the students who don't do the homework, there is no way to blame their poor exams scores on the text, the instructor, the phase of the moon, or whatever excuse may come to mind. I can see that they didn't do the homework. For the students who ARE doing the homework, I can see what they're missing and allocate some review time for it.
Sure, we COULD tally up how many students missed which question on the written homework we've carefully graded before every class period. But every minute spent grading is sixty seconds taken away from teaching. With MyMathLab, teachers have all the data on student performance they could ever dream of, and no teaching time is sacrificed to get it.
Homework assignments are customizable with a simple point-and-click interface. You decide your due dates, you pick your problems and your topics. If you want to start your class with a mixture of problems from chapters two and ten (for example), you can create a homework assignment with exactly those topics. And all the problems are wonderful, just like the problems in the paper text.
Teachers, if you aren't using the software version of this text, your students are missing out and you're spending needless energy on grading.
Students, if your teacher doesn't require the access code, buy it anyway. You can work problems online from a "generic" course, and your efforts will be directly reflected in your grade. Studying with the software is so easy and enjoyable (compared to traditional pencil and paper work) that you'll wonder why you ever had trouble with math.
This software could honestly stand on its own as an online course, but it can also reinforce the content delivered in a traditional lecture. Whether used as a central or tangental component of the class , it will be beneficial.
Customer Reviews:
Excellent textbook.......2007-04-23
I had last used algebra in middle school and high school about 15 years ago. Needless to say, my skills were a little rusty. This book did an *amazing* job at explaining the material in such an intuitive way that it now seems obvious. The book covers about 2 years of high school material, and I was able to (re)learn it all in a matter of weeks. However, it's still math and you won't learn a thing unless you sit down and solve the problems.
Customer Reviews:
Further adventures with algebra..........2004-05-27
This book is currently being used by the community college where I tutor as a book for the internet version of Intermediate Algebra, a course that most of our two-year degree programmes require as part of the mathematics requirement, and one of the most 'popular' courses at the tutor centre. Because this book is used by the internet course, it has to be well crafted to enable students to learn from on their own, and indeed, it seems to pass muster on that account.
The organisation of the book is fairly standard for algebra texts of this level: basic number theory is introduced (which should be a refresher or review from previous basic mathematics or algebra courses), the linear equations and inequalities are introduced, with equations of one variable, some elementary set operations, and the concept of inequalities. The third chapter introduces graphs, with the x-y coordinate axis, two-variable equations introduced. The fourth chapter looks at systems of equations, both in two and three variables, and introduces matrix methodology.
The fifth chapter develops the ideas of exponents, introducing scientific notation and polynomial multiplication and division. This is a prelude to factoring, the subject of chapter six. Trinomial factors, special cases and general approaches are discussed, including the grouping method and trial-and-error.
Chapter seven looks at rational expressions, complex fractions, and applications that build upon the factoring. Chapter eight introduces roots and radicals as a prelude to the quadratic equation in chapter nine. Graphing of functions such as parabolas is developed here.
Chapter ten looks at logarithmic, inverse and exponential functions, leading to analytic geometry topics such as conic sections, nonlinear functions and nonlinear systems in chapter eleven. This include hyperbolas, circles, and ellipses. The final chapter addresses the ideas of series (arithmetic sequences, geometric sequences) and introduces the binomial theorem.
The chapters have group activities at the end of each section that set the mathematics learned in proper 'real world' context. For example, the group activity for chapter eleven on analytic geometry topics deals with finding the paths of natural satellites; other activities include figuring out investments, the progress of disease spreading, the paths of comets, and comparing long-distance charges.
Each chapter comes with a convenient summary, a set of review exercises, and a chapter text. The summaries address key concepts, terms, new symbols introduced, and basic patterns of problems. There are also cumulative review sets after each chapter that address all the previous chapters. The first appendix is an introduction to calculators (there are many types of calculators, so this section is somewhat general, addressing those calculators which use basic algebraic logic in order of operations and other important areas.
The other appendices go into more detail about matrices and determinants (Cramer's Rule) and synthetic division for polynomials, for the ambitious students who wish to understand further.
The text is generally readable and accessible, with colourful pages, well-illustrated graphs and charts as required, and pictures thrown in for good measure and visual interest. The authors employ a six-step method for problem solving (read, assign variables, write equations, solve, state answers, check) at each step in the text. There is a student's solution manual, with detailed solutions to odd-numbered problems (plus others), available; this is where they 'show the work'; the simple answers are found in the back of the book.
This is a good book for classroom and self-study purposes.
Customer Reviews:
Great review for Calculus.......2007-06-22
I'm currently taking Calculus in the summer. My first week was hell because I had forgotten so much basic algebra. I'm thankful that I was able to relearn what I needed to know for the test, but now that I have this book, it's reassuring that I can find some examples and tips on how to solve algebra and trigonometry problems that is being asked in Calculus.
Best Algebra Book in the World (Jamie).......2007-01-01
This is the best algebra book in the world. The material and Examples are straight forward. Each section is taught very well. The exercises at the end of each section aim at bringing you to the next level of algebra. The trig section is also straight forward. Also,the the trig section is similar to Analytic Trigonometry(by Barnett,Ziegler,and Byleen).
The book is simply straight-forward. No matter what edition you have of this book,it's all about the same.however,this edition is great. An easy 5 stars.
Superb!.......2006-11-23
As a supplementary text, this book saved me in two college-level math clases (got A's in both)! It was my go-to source on countless occasions when the class text failed. You won't be disapointed with the student solutions manual, either: very complete with crystal-clear steps. You can't go wrong with this one!
If you want to understand algebra and/or trig, buy this book.......2003-04-20
As an unchallenged high school student 30 years ago, I never really put much effort into either algebra or trig and still managed to ace my tests. This lack of a rigorous algebraic and trigonometric foundation killed me in subsequent college calculus courses. This book fixed that problem, 30 years later! If you are looking for a book to challenge a motivated high school student, this is the book. I loaned it to one such student after I finished it and she very quickly completed a year and a half of high school algebra and trig in one summer and went on to ace honors calculus that fall.
For myself, I picked up this book several years ago and started my math re-education. There are numerous margin exercises that are to be completed immediately after a new concept is introduced in a section plus 50-70 section end exercises. These exercises directly reinforce what you have just studied. There are numerous sections in each chapter. This layout is really nice because as a self study, it normally took me several days to complete a chapter and if I had to wait to do exercises at the end of each chapter, I am positive my retention would have been much lower and my frustration higher, leading to a consequent lowering of motivation. Fortunately, just the opposite happened with this book. Every time I completed a section I was motivated to learn more which reduced the time required to complete each chapter. Finally each chapter has a chapter review then a comprehensive chapter test. If you miss a question in the chapter review, the answer section point to the relevant section for review.
Every margin, chapter review and chapter test exercise has the answer in the back of the book. The section-end exercises have only odd answers in the back of the book, but this is not a significant problem. I noticed several things about these exercises at the end of each section. The exercises are not just "make work" but increasingly challenge the reader. The exercises are such that they catch and expose deficiencies in math manipulation skills. If you are weak in some area of algebraic manipulation, it becomes readily apparent in the exercises. The even numbered exercises are variations on the odd numbered exercises. If you can do the odd exercises, you'll be able to do the even exercises and so not require the answers in the back. If you messed up the odd exercise and understand the nature of the mistake, you can still do the even numbered exercise with confidence.
The Trig section is short (3 chapters) and dense. Again problems are uniformly excellent. The chapter on trigonometric identities makes the book worth its price by itself and pays off handsomely when studying calculus and you are attempting to solve integrals via trigonometric substitution. There are three additional chapters introducing linear algebra, conic sections and sequences.
The book makes use of decent artwork and has technology sections utilizing graphing calculators, but is comprehensive without having such a calculator. Despite the hefty cost for a large format paperback, this book is definitely worth it. The binding has proven to be extremely durable. I just wish I had this book so many years ago. My college math courses would have been so much more enlightening.
The best math book I've seen.......1999-10-16
I'm an adult learner who has always had trouble with math. This was the text in pre-Calc. Provides (1) clear, step by step instruction, (2) uncomplicated margin exercises to reinforce basic concepts, (4) lots of good practical problems, (5) a sea of drill problems, (6) chapter review exercises and (7) chapter tests. I refer to this book regularly. I wish these folks would do a Calculus book!
Book Description
Kaseberg presents an effective, nontraditional approach to the traditional algebra curriculum. The first and second editions gained a strong following among instructors who found that Kaseberg's use of guided discovery and problem solving facilitates the learning of new concepts and strengthens skill retention. Kaseberg's informal, interactive style makes algebra more accessible to students while maintaining a high level of mathematical accuracy. To reduce preparation time for course leaders and facilitate use by adjuncts, the Instructor's Resource Manual is a valuable resource. The manual provides structured lesson and group-activity suggestions for each section in the textbook, incorporates materials from the textbook with supplemental projects and activities, suggests core homework assignments, and furnishes guided-discussion questions. This resource serves to bridge the gap between traditional pedagogy and a reform approach.
Customer Reviews:
IF LESS THAN 1 STAR WAS AN OPTION, I WOULD HAVE USED IT!.......1999-11-28
Having been a home economics major in High School 27 years ago, the last thing I needed in my struggle with college was assistance from Ms Kaseberg! This book is needlessly confusing, unorganized, and a poor showing for Ms Kasegerg's 30 years of experience. The chapters deal with various topics, but the exercises at the end of each chapter seem to have nothing to do with the material covered. The book's goal of teaching problem solving skills has failed miserably. The student is left with a different set of problems than were discussed in the chapter and with no clue as to where to start in solving them. Problem solving skills may have been overlooked or minimized in mathematics education thus far, but this book does not address the tools needed to solve problems--it simply leaves the reader lost in an algebraic vacuum without a compass. To make matters worse, after using this book as a trial for Algebra II (which was a dismal failure), the Math committee at my university decided to inflict equal torture on Algebra I students the very next semester. Publication of this book is bad enough, but it is a sad state of affairs when such a product is actually adopted as a teaching tool. I was in grammer school during the 'New Math' fiasco of the late 60's, and I view this approach with similar contempt. My mathematical and problem solving abilities seemed useless when trying to make sense of this text book. Publications like this will succeed only in making those of us who love working with numbers begin to hate it instead. In short, this text book is a rip off--don't buy it OR take a course that uses it. Have mercy on us Ms Kaseberg; your 'Just-In-Time Approach' will be the death of mathematics!
IF LESS THAN 1 STAR WAS AVAILABLE I WOULD HAVE USED IT!!!.......1999-11-01
Having been a home economics major in High School 27 years ago, the last thing I needed in my struggle with college was assistance from Ms Kaseberg! This book is needlessly confusing, unorganized, and a poor showing for Ms Kasegerg's 30 years of experience. The chapters deal with various topics, but the exercises at the end of each chapter seem to have nothing to do with the material covered. The book's goal of teaching problem solving skills has failed miserably. The student is left with a different set of problems than were discussed in the chapter and with no clue as to where to start in solving them. Problem solving skills may have been overlooked or minimized, but this book does not address the tools needed to solve problems, it simply leaves the reader lost in an algebraic vacuum without a compass. In short, the voice from Maine thinks the book was as big a rip off as the voices from Nevada. To make matters worse, after using this book as a trial for Algebra II (which was a dismal failure), the Math committee at my community college decided to inflict equal torture on Algebra I students the very next semester. Publication of this book is bad enough, but it is a sad state of affairs when such a product is actually adopted as a teaching tool. I was in grammer school during the "New Math" fiasco of the late 60's, and I view this approach with similar contempt. My mathematical and problem solving abilities seemed useless when trying to make sense of this text book. Publications like this will succeed only in making those of us who love working with numbers begin to hate it instead. Have mercy on us Ms Kaseberg; your "Just-In-Time Approach" will be the death of mathematics!
This book killed too many trees!!!!.......1998-11-26
This is by far the worst Algebra text book that I have ever seen. The text is very unclear and the author seems to be very unknowledgeable in her field. There are no explanations to how she came up with the answers that she got and that makes me question if they are correct. There are no instructions available, even to the instructors. This book is a waste of not only money, but time also and I am ashamed that the math department at TMCC in Reno actually approved it.
This book is the worst I've ever read........1998-04-09
I had to buy this book for my Algebra class at Truckee Meadows Community College. It is by far the worst book I've ever had. The author
does not explain the problem or the solution
step by step, which is crucial in Algebra. She
loses the reader half way through the problem.
I deeply resent spending hard earned money
for a text I can't use now or in the future. This
book is so bad that my teacher makes copies
of chapters in other Algebra books and hands
them out, so we might understand what is going
on. This book was evidently written by someone very lazy. She gives the answers to the odd questions only, but she gives only the answer, not how the problem was solved.
I am very dissappointed with the book and I wish I could get my money back. A college student doesn't have much, I feel as if I've been robbed. The author should reinburse every student that had to buy the book. Believe me,
I don't know of even one student that would
keep this book.
Average customer rating:
- This is an excellent book - period
- Helpful
- Buyer Beware
- Very Good Precalculus Reference
- Please read this review!!!!
|
Algebra & Trigonometry (7th Edition)
Michael Sullivan
Manufacturer: Prentice Hall
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Student Solutions Manual: Algebra & Trigonometry - 7th Edition - Sullivan
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ASIN: 0131430734 |
Book Description
A proven motivator for readers of diverse mathematical backgrounds, this book explores mathematics within the context of real life using understandable, realistic applications consistent with the abilities of any reader. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. Includes Case Studies; New design that utilizes multiple colors to enhance accessibility; Multiple source applications; Numerous graduated examples and exercises; Discussion, writing, and research problems; Important formulas, theorems, definitions, and objectives; and more. For anyone interested in algebra and trigonometry.
Customer Reviews:
This is an excellent book - period.......2007-06-16
I am 55 years old and promised myself that when I became financially able I would relearn Algebra, Trigonometry, Geometry, Calculus I, II,III & IV and ODE skills from start to finish. I am now finished with Sullivan's book I have found the book easy to read and understand. The presenation of the material is well thought out and the abundance of practice problems invaluable. If you are serious about math then this is a great book.
A retired hedge fund manager.
Helpful.......2007-02-11
This book has the solutions for the material presented in the book. The book has helped me alot. The only think I don't like about it, is that the book has to many practice exercises and too many pages.
Buyer Beware.......2004-08-08
The information listed in the "Product Details" section for this book is very misleading. As noted in the other comments, this book is the paperback Student Solutions Manual. It is NOT a hardcover book and the ISBN number is not ISBN: 0130914657 (as listed in the product detail section). This book may prove to be helpful but it was not the book I thought I ordered.
Very Good Precalculus Reference.......2003-08-06
With the sixth edition of this textbook, Sullivan has made significant strides since the fifth edition of the College Algebra portion. The interval notations used to indicate the regions where the value of a function is increasing or decreasing is so much more clear and concise. In contrast to the former use of frequently displaying number lines with pluses and minuses underneath, in which the readings of them were perhaps more of an exercise for the eyes than for the mind, Sullivan revised this mess using parentheses and brackets to indicate test intervals.
As a teacher, I say that this is not the most user-friendly book for an instructor who teaches one hour college algebra classes three times a week. Oftentimes, for me to quickly get the fundamentals across, I have to paraphrase what Sullivan lays out in many of the sections. The language is often too theoretical for several of my students (Many are in non-technical majors but have to complete college algebra as a last mathematics course requirement), and I have to put the symbolic logic sequences into terms that can cross over to applied mathematics. This is not meant to be a criticism, however.
Perhaps the main weaknesses lie in the shortcomings of applied problems, particularly in the sections concerning maxima and minima, and especially in the inequality segments. On a very positive note, however, I will grant that the sixth chapter, which involves logarithms and exponents is quite fascinating. For instance, you have applied problems involving the amount of interest that can be gained after so many years if, say, [money amount]is deposited into an account and accumulates interest at 6% compounded quarterly. Physics problems are also well presented. One interesting tidbit: if you wondered how long it would take for a 300-degree dish to cool down to 100 degrees in an environment that is at room temperature, the formula that can be used, namely Newton's Law of Cooling, is provided. As another example: suppose that a dead animal was discovered in a barn at midnight and its temperature was 80°F° ; the temperature of the barn is kept constant at 60°F; two hours later the temperature of the corpse dropped to 75°F; find the time of death. The formula for this type of problem is also shown.
As added kudos, I especially like the intermittent TI-83 calculator tips. The use of technology in mathematics classes is notably increasing in the community colleges. All in all, this is a finer, more updated version, and it is especially recommended for those who want to go beyond the call of duty and discover new ways of applying mathematics to their daily lives.
Please read this review!!!!.......2003-04-27
1)Michael Sullivan (Sr.) is one of the four or five best writers
of math textbooks on today's scene. If you can find a textbook written by him that fits whatever current math course you are in
buy the book sight unseen. You will be more than happy that you
did.
2)As far as this book is concerned, I used it from chapter 1 to the end (every section of every chapter) and did every problem in
the book. I did not have an instructor and I was not enrolled in a course. I used the book to brush up for calculus after being out of school for 20 years.
3)This book is great for a course in college algebra, trigonometry, or precalculus. It serves all three purposes. I know this because after I finished the text and began studying
calculus, on my own, I was really able to appreciate how well
Sullivan's book prepared me for calculus.
4)The explanations of each concept are clear, not more rigorous
than is appropriate for a student at the level of the textbook,
but certainly not dumbed down.
5)The problems and questions are well written, comprehensive, and
most importantly, instructive. I found that the best question I
could ask myself about every problem in the book was "now what is
Sullivan trying to get me to see by doing this problem or answering this question". I mention this because this is what Sullivan is really good at; he doesn't spoon feed you.
6)Look, we all want essentially the same things from a textbook.
We want clearly written, well illustrated worked out problems
that allow us to grasp the concept in question so that we can use
it to solve problems and answer conceptual questions. With Sullivan, you get this in great measure.
This is a wonderful textbook for both sudents and teachers. It is
a great book to learn from and a great book to learn to teach from.
Customer Reviews:
Perfect Pysics Book.......2007-09-23
The perfect book to study physics. Many pictures and great problems. It applies physics to everyday life and makes physics very interesting. A great book for all levels of study: high school, college, university, grad school, etc.
Learn to Run Before You Can Walk with Giancoli's "Physics" . . ........2007-06-14
While I wouldn't call this a bad book, I find myself rather frustrated with it. It seems to me to be most ideally suited for those who either have a natural inclination for physics or those who have plenty of spare time in which to contemplate solutions for the problems. (Unfortunately, I have neither.) The chapters themselves are actually fairly well done, but, in my opinion, not well enough to provide all the necessary information and insights to successfully solve the problems. I've opted to discontinue my attempts to work through this book in favor of Cutnell and Johnson's text of the same title.
outstanding.......2006-07-30
I used Giancoli as my primary text in high school, and found it to be a superb text. I think those complaining of a lack of worked problems are missing the entire point of this text and the essence of studying physics. This book is about understanding physics principles and the equations you use to solve physics problems. You will find that with this understanding (certainly provided by this excellent text), the need for mindless ploughing through physics problems is lost. You will be able to solve physics problems on the basis of your conceptual understanding of the problems. So many students rely on rote learning and repetition by doing hundreds of questions. Sure, you might be able to attack similar problems for the next week or so, but as soon as you stop practicing, the skill is lost. True mastery of physics comes from appreciation of principles, not mere recognition of patterns in problems...this text will help you achieve such an appreciation.
Clear and nice physics book for intro students.......2005-11-18
I know physics is hard for all of us, but this book is very clear in explaining physics. It does not involve in calculus, so usually it is better for most students who never took physics. So if you did not take physics class before, I highly recommend this book because it does not use pompous or intricate words that most science textbook writers do. Not only is it an easy reading, but also it has awesome questions and problems that make you think and that check whether you know really physics.
Most my friends who were in engineering or math majors had easy physics teachers in high school. Some of them did not even take physics at all. Surprisingly, they dived into calculus based physics book and they found the subject to be incredibly hard. I understand their pain because I think this book can be a bridge that can connect high school physics(so easy ones) and calculus based physics.
I also read Serway's College Physics, and in my opinion, I think Giancoli wrote better job in explaining physics with more clear diagrams. The sentences that he uses grabs my attention. Serway confused me and I was stuck a lot from his book. Problems in examples are so much better in Giancoli as well and diagrams were better as well.
So before you read calculus based physics, read this one thoroughly and you will be able to breathe in higher physics class.
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You can do better than this!.......2002-10-27
