Calculus For Dummies

Calculus For Dummies

by Mark Ryan


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Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

Slay the calculus monster with this user-friendly guide

Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be.

Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win.

  • Includes foundations in algebra, trigonometry, and pre-calculus concepts
  • Explores sequences, series, and graphing common functions
  • Instructs you how to approximate area with integration
  • Features things to remember, things to forget, and things you can't get away with

Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.

Product Details

ISBN-13: 9781119293491
Publisher: Wiley
Publication date: 06/07/2016
Series: For Dummies Series
Pages: 384
Sales rank: 39,703
Product dimensions: 7.30(w) x 9.20(h) x 0.80(d)

About the Author

Mark Ryan is the founder and owner of The Math Center, a math and test prep tutoring center in Winnetka, Illinois. He is the author of Calculus Workbook For Dummies, Calculus Essentials For Dummies, and three books on geometry in the For Dummies series. Ryan has taught junior high and high school math since 1989. He lives in Evanston, Illinois.

Table of Contents

Introduction 1

Part 1: An Overview of Calculus 5

CHAPTER 1: What Is Calculus? 7

CHAPTER 2: The Two Big Ideas of Calculus: Differentiation and Integration — plus Infinite Series 13

CHAPTER 3: Why Calculus Works 21

Part 2: Warming Up with Calculus Prerequisites 27

CHAPTER 4: Pre-Algebra and Algebra Review 29

CHAPTER 5: Funky Functions and Their Groovy Graphs 43

CHAPTER 6: The Trig Tango 61

Part 3: Limits 73

CHAPTER 7: Limits and Continuity 75

CHAPTER 8: Evaluating Limits 89

Part 4: Differentiation 105

CHAPTER 9: Differentiation Orientation 107

CHAPTER 10: Differentiation Rules — Yeah, Man, It Rules 127

CHAPTER 11: Differentiation and the Shape of Curves 147

CHAPTER 12: Your Problems Are Solved: Differentiation to the Rescue! 171

CHAPTER 13: More Differentiation Problems: Going Off on a Tangent 193

Part 5: Integration and Infinite Series 207

CHAPTER 14: Intro to Integration and Approximating Area 209

CHAPTER 15: Integration: It’s Backwards Differentiation 233

CHAPTER 16: Integration Techniques for Experts 263

CHAPTER 17: Forget Dr Phil: Use the Integral to Solve Problems 285

CHAPTER 18: Taming the Infinite with Improper Integrals 303

CHAPTER 19: Infinite Series 315

Part 6: The Part of Tens 339

CHAPTER 20: Ten Things to Remember 341

CHAPTER 21: Ten Things to Forget 345

CHAPTER 22: Ten Things You Can’t Get Away With 349

Index 353

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Calculus for Dummies 4.3 out of 5 based on 0 ratings. 25 reviews.
Anonymous More than 1 year ago
I'm currently in Algerba 1 and I'm also in the lowest math class at school. I have an interest for calculus and I started to read this book. I was surprised at how easily I understood this book. The author presents calculus with an easy mindset instead of a difficult one which greatly helps the reader to come at it at an easy approach. I would highly recommend this to ANYONE.
Anonymous More than 1 year ago
If you wonder: Why study calculus? What's it good for? What's the bottom line of all this mumbo-jumbo? then this book's for you. Offering excellent bird's-eye views of key calculus concepts, Mr. Ryan then develops them in a clear, easy-to-understand manner that will give you one "Eureka!" moment after another. I recommend this book as an overview for the curious, a review for the rusty, or as introductory material prior to tackling Calculus I. It includes an excellent summary of the highlights of pre-calculus material for review. For more hands-on exercises, "Calculus Workbook for Dummies" is an excellent companion volume.
Guest More than 1 year ago
I love this book so much I could marry it. I am sending this guy a gift basket when I graduate. Every Calc student should buy this. My comments aren't hyperbole. I now understand calculus. It is easy, quick reading. There are no negatives to say.
Guest More than 1 year ago
I could always DO calculus, but I never really 'understood' it. The explanations in this book worked, where the many textbooks I have used failed. Hats off to the author for a most excellent approach to simplifying the 'whats and whys' of a challenging and confusing subject.
Guest More than 1 year ago
I never thought that I could master anything higher than Algebra. Well, I did. Caluculus is for dummies after all. I love this book and will pass the good news on to fellow students. Thanks, C.B.
Anonymous More than 1 year ago
I'm taking a Calculus II course, and I was recently struggling with it. I bought this book because a friend of mine who already took the course said it helped them. They were right. It helps. Not as much as I would've liked, but the book definitely does help. It focuses more on Calc I stuff though.
RBLackmore More than 1 year ago
After recently finishing a Master's in Evolutionary Ecology, I decided to pursue higher mathematics and engineering to contribute to the growing field of ecological engineering. I haven't taken Calculus in four years, and my first course is Multivariate Analysis. I grabbed Calculus for Dummies to brush up. I was extremely surprised by the text's approach. It provided a simplified conceptual overview, but left with me many relevant ways to view calculus in a simplified manner. This book will help remove the FEAR of taking a calculus course!
Guest More than 1 year ago
I have been using 'Calculus for Dummies' to review my Calc I and Calc II basics. I am surprised and pleased with how well Ryan's descriptions and explanations have allowed me to better understand the underlying principles in Calculus. If you are serious about groundwork and maintenance of your mathematical education, you know that it is frequently beneficial to return to the basics for those fundamental concepts which can occasionally grow fuzzy with time. If you can find a text that treats the material in a new and entertaining way, the review can be enjoyable as well as instructive. I highly recommend Ryan's book. He limits complexity (and warns you when he is doing that) to keep the material accessible. For the ultra rigorous analysis, there are many college texts available. But if you are new to Calculus, or looking for a different and refreshing approach to the basics, you will find 'Calculus for Dummies' a wise investment. If you are taking Calculus in school and are having some problems understanding the material (and who hasn¿t?), this book will help you 'decode' some of the more difficult concepts. I am sure that it is destined to become a valuable catalyst text on many a struggling math student's desktop.
plaws595 on LibraryThing More than 1 year ago
I used this book to refresh my understanding of derrivatives and calculus one in general. I'm not sure how effective it would be at teaching you the subject from scratch, but it is an excellent resource if you forgot a few things.
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Guest More than 1 year ago
This is a great entry-level book to calculus. I originally bought it to help out with my AP Calculus course in high school, but never read it ¿ had I, I might not have had to retake basic calculus (limits through antiderivatives) again in college. This is a great book that makes the fundamentals of first year calculus really stick. It is NOT a universal calculus panacea and several times Ryan notes that a particular topic is outside the scope of the book ¿ this does not mean it won't be on your test. This book - is- lacking with regards to the complexity of the examples given ¿ any calculus courses taken as a preparation for a math-based science (such as chemistry, engineering, or physics) -will- be harder, but with this book, you'll be able to concentrate on the methods and higher applications, rather than bogging yourself down trying to understand the more basic material.
Guest More than 1 year ago
Wow, it's been a long time since I've been in a math class, and to say that I am rusty is a gross understatement. So it was with great relief that I discovered that not only can I follow this book, I actually enjoyed it. I even laughed out loud a few times. Mark's humor made all the difference, and when the going got a little tough, the lively writing kept me engaged. Mark's experience as a teacher is evident throughout-- he knows where the pitfalls are and addresses them before the reader trips. I would describe myself as a slightly above-average math student, and calculus was not an intuitively easy topic for me. There were parts of the book that I had to read several times and then digest. Fortunately, I was being taught by a great teacher. I could well imagine learning calculus from a lessor instructor and getting totally lost. Soon my daughter will be taking calculus in school, and I'm going to make sure that she reads this book. Congratulations Mark on writing the definitive book for 'dummies,' scholars and everyone in between.
Guest More than 1 year ago
Good choice to help understand calculus
Guest More than 1 year ago
The author does a great job of making a complex topic accessible to people (like me) that are equipped only with good basic math skills. He walks you through all of the greek symbols and translates them into plain english. Importantly, the material is not dumbed down, it is just presented in a way that is far more understandable than most text books.
Guest More than 1 year ago
I used this book for calc 1 and 2 during college. It greatly helped my scores! It provides plain explanations and easy step-by-step walkthroughs.
Guest More than 1 year ago
Ryan uses everyday language and tons of the most common examples to help you learn. He also makes it as fun as it can be with jokes and everyday applications. To top it off, he covers every topic that you need to know for an introduction, and also where the ideas came from. Great book, you won't need anything else.