The Complete Idiot's Guide to Calculus

Front Cover
Penguin, 2002 - Mathematics - 319 pages
8 Reviews
The only tutor struggling calculus students will ever need!

-- More students are now required to take calculus in college than ever before; yet many find their textbooks and teachers to be incomprehensible.

-- This book differs from the majority of calculus books in that it is not aimed at the advanced placement audience. Rather, it is aimed at those who actually need to learn calculus in order to pass the class they are in or are about to take.

According to figures released by ACT Inc., many more U.S. high school students are taking courses in mathematics than was the case a decade ago. In fact, the portion of college-bound students taking calculus increased from 16 percent in 1987 to 27 percent in 2000. Let's face it, most students and adults who take calculus do so not for the fun of it, but rather to advance within a job or fulfill a degree requirement. The Complete Idiot's Guide "RM" to Calculus will take the sting out of this complex math by putting it's uses, functions and limitations in perspective of what is already familiar to readers-algebra. Once readers have brushed up on their algebra and trigonometry skills, they'll be eased into the fundamentals of calculus.

  

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Review: The Complete Idiot's Guide to Calculus

User Review  - Alex Hui - Goodreads

Very concise, accessible, and well-explained. This book offers a very quick way to grasp the concepts of calculus. Read full review

Review: The Complete Idiot's Guide to Calculus

User Review  - Maya - Goodreads

I really liked this book, it helped me recover some of my lost knowledge. Very good book if you are taking Calculus and you want more explanation or if you have taken that course already and would like a refresher. Read full review

Selected pages

Contents

The Roots of Calculus
1
What Is Calculus Anyway?
3
Polish Up Your Algebra Skills
13
Equations Relations and Functions Oh My
25
Trigonometry Last Stop Before Calculus
37
Laying the Foundation for Calculus
53
Take It to the Limit
55
Evaluating Limits Numerically
65
Approximating Area
157
Antiderivatives
167
Applications of the Fundamental Theorem
177
Integration Tips for Fractions
187
Advanced Integration Methods
197
Applications of Integration
207
Differential Equations Sequences and Series
219
Differential Equations
221

Continuity
77
The Difference Quotient
89
The Derivative
99
Laying Down the Law for Derivatives
101
Common Differentiation Tasks
113
Using Derivatives to Graph
123
Derivatives and Motion
135
Common Derivative Applications
143
The Integral
155
Visualizing Differential Equations
231
Sequences and Series
243
Infinite Series Convergence Tests
251
Special Series
263
Solutions to Youve Got Problems
275
Glossary
303
Index
313
Copyright

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About the author (2002)

W. Michael Kelley is an award winning Calculus Teacher and the author of Master the AP Calculus AB and BC Tests, by ARCO publishing, by far the best-selling advanced placement book in ARCO's "Master" series. Mr. Kelley is praised for his ability to make what can be perceived as a very intimidating topic very approachable, even humorous. His dedication to helping students and adults alike conquer their fear of numbers is exemplified by the many honors he has received throughout his career, including an award from the Maryland Council of Teachers of Mathematics recognizing him as an Outstanding High School Mathematics Teacher and his four-year running title as of "Most Popular Teacher" in his home school. But perhaps the most significant credit to Mr. Kelley's talent is his record of achievement. After taking over the Advanced Placement Calculus program, enrollment increased by 350%, and the number of students receiving credit by passing the standardized Advanced Placement test increased by 1200%!

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