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Forgotten Calculus
PDF Download Forgotten Calculus
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Updated and expanded to include the optional use of graphing calculators, this combination textbook and workbook is a good teach-yourself refresher course for men and women who took a calculus course in school, have since forgotten most of what they learned, and now need some practical calculus for business purposes or advanced education. The book is also very useful as a supplementary text for students who are taking calculus and finding it a struggle. Each progressive work unit offers clear instruction and worked-out examples. Special emphasis has been placed on business and economic applications. Topics covered include functions and their graphs, derivatives, optimization problems, exponential and logarithmic functions, integration, and partial derivatives.
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Product details
Paperback: 480 pages
Publisher: Barrons Educational Series; Third edition (August 1, 2002)
Language: English
ISBN-10: 0764119982
ISBN-13: 978-0764119989
Product Dimensions:
7.8 x 0.9 x 10.9 inches
Shipping Weight: 1.6 pounds (View shipping rates and policies)
Average Customer Review:
4.1 out of 5 stars
59 customer reviews
Amazon Best Sellers Rank:
#330,033 in Books (See Top 100 in Books)
This book provides a gentle review of differential and integral calculus. About 2/3rds of the material is devoted to differential calculus. Numerous fully worked examples, as well as problems with full solutions, are provided in each Unit. Each of the 28 Units ends with a relatively long list of exercises, usually hovering around 20 or so. Fully worked answers, not just solutions, for all exercises are provided at the end of the book. However, the solutions are not completely without problems.Some of the features which make the book appealing as a basic introduction may limit its usefulness for those who need to use calculus for more advanced work or "real world" problems in the immediate future. Examples are overly simplified compared to even modestly complex applications in the undergraduate curriculum or the "real world". As an example, the Unit on Linear Applications presents a demand function for a homemade cake business, where the business can sell no more than 10 cakes. This is excellent for a novice calculus learner, but it might disappoint the economics’ major who might hope for a few more realistic examples. The business nature of problems used in the text and exercises will limit the books value for engineering and science students.The book, as one might expect of any mathematics book, is not free from errors, although the number is smaller than one would expect for a book with this many worked problems. Also, most of the errors are fairly obvious and should not be a problem, even for beginners. As an example of the errors one might encounter, here are some from Unit 6. On page 79 a "+" is inadvertently changed to a "-"; example 5 gives the wrong vertex for a quadratic function, and the graph of 6.1 gives incorrect values for f(-1) and f(-5). In Unit 7 we can see that these occasional problems continue. For example. The reader is asked for the answer to Problem 6b, where the question is asked how we can “Interpret the y-interceptâ€. However, the answer presented for 6b, is for a question not asked, i.e., “how can we interpret the answer given to part 6aâ€?. Occasionally a problem solution is left off as in Exercise 5d in Unit 11, or a problem appears, Exercise 20 in Unit 15, that is unconnected to the material in the Unit.The book is an "old style" calculus text in that it emphasizes repetitive pencil and paper problem solutions. The text and Exercises often provide a small amount of material on and for the TI-83 graphing calculator. However, the emphasis is clearly on solutions to simplified problems, easily solved by hand. The exercises provide for extensive repetition. For the reader having problems, this is extremely helpful. Others, however, may select to solve only a few of the end of chapter exercises. Some may even decide to solve only the examples and problems in the text and skip the exercises completely, as the text presents all the necessary material clearly. However, the book provides plenty of opportunity to complete exercises if wanted.In summary, this book is an excellent basic introduction or review of calculus for the business or economics major. It is a friendly introduction, with concepts clearly explained with relatively few errors considering the large number of examples, problems, and exercises presented. Fortunately, most of the errors are easy to see, and the reader will have few, if any, problems.I kept track of the time to read the chapters and solve all chapter exercises. Based on my results, it should be possible to complete the book at a reasonably comfortable pace within a month, or even less time with a more concentrated effort. I devoted only 3 hours/day and I used a TI Nspire calculator (a more modern version than the calculator referenced in the text and presented in the exercises).
Its different from the text I used just a few years ago to learn calculus. It explains things step by step instead of just assuming you follow their thinking like most calc texts do. I realize the reason for the other texts doing this but in the end it gets distracting and confusing for the student and this text seems to realize this. The author of this book takes the time to explain EVERYTHING they're doing in a problem including the basic math/algebraic stuff so you don't have to waste time on it and you can get down to getting used to calculus. When I first learned calculus it was scary and confusing, this text makes it so much simpler. It does show you a lot applications for it in business which might be of help to you business majors out there. Unfortunately for my case, I can't say I found them to be too useful as my reasons for needing calculus are much more scientific. I wish there was a part two to this text because there are a few harder integrals and partial derivative problems that I use but are hardly touched upon. I need a version of this book for advanced calculus. (like the kind you use in physics and chemistry) Perhaps we can call it "Forgotten Advanced Calculus".
If you're an old guy like me returning to college to finish your degree this book is a must. This book is not a text book but rather an example book. You look up the type of problem you need to solve and there will pages of examples, broken down to show you how to solve it. This book is great at kicking the cobwebs loose after 2 decades of not using calculus.
This book helped me to prepare for a college calculus course. I hadn't taken a math course since 2001. This book helped refresh my memory on the building blocks of functions and graphs and then moved me ahead to derivatives and integrals. Each unit is explained very clearly with basic practice problems. The author does a wonderful job of adding new skills onto those learned in previous units. Each unit keeps you moving forward. The lessons are basic and work well to prepare a student for more difficult ones in a college class. This doesn't go as deep as a college course, but does a great job of preparing you for it. I am doing well in my college course because this book taught me all of the basics.The author also wrote a book just like this one for algebra (called Forgotten Algebra). I went through that one first. I would recommend it also for anyone wh isn't readily familiar with fractions, exponents, square roots, radicals, and linear and quadratic equations.I owe a large debt of gratitude to Barbara Lee Bleau for writing Forgotten Algebra and Forgotten Calculus. I don't have much of a math background. The last math course I took was trigonometry 12 years ago. With these two books I gained the knowledge and confidence to succeed in a college calculus course. I highly recommend both books to anyone looking to brush up on algebra and calculus or learn it for the first time.
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