have at your fingertips. To get this Cheat Sheet, simply go to www.dummies.com and type Calculus 1001 Dummies Cheat Sheet into the Search box.
The online practice that comes free with this book offers you the same 1,001 questions and answers that are available here, presented in a multiple-choice format. The beauty of the online problems is that you can customize your online practice to focus on the topic areas that give you trouble. If you’re short on time and want to maximize your study, you can specify the quantity of problems you want to practice, pick your topics, and go. You can practice a few hundred problems in one sitting or just a couple dozen, and whether you can focus on a few types of problems or a mix of several types. Regardless of the combination you create, the online program keeps track of the questions you get right and wrong so you can monitor your progress and spend time studying exactly what you need.
To gain access to the online practice, you simply have to register. Just follow these steps:
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Where to Go for Additional Help
Calculus is hard, so don’t become overwhelmed if a particular topic isn’t immediately easy to you. This book has many practice problems of varying difficulty, so you can focus on those problems that are most appropriate for you.
In addition to getting help from your friends, teachers, or coworkers, you can find a variety of great materials online. If you have internet access, a simple search often turns up a treasure trove of information. You can also head to www.dummies.com to see the many articles and books that can help you in your studies.
Calculus: 1001 Practice Problems For Dummies gives you just that — 1,001 practice questions and answers in order for you to practice your calculus skills. If you need more in-depth study and direction for your calculus courses, you may want to try out the following For Dummies products (or their companion workbooks):
Calculus For Dummies: This book provides instruction parallel to the 1,001 calculus practice problems found here.
Calculus II For Dummies: This book provides content similar to what you may encounter in a second-semester college calculus course.
Pre-Calculus For Dummies: Use this book to brush up on the foundational skills and concepts you need for calculus — solving polynomials, graphing functions, using trig identities, and the like.
Trigonometry For Dummies: Try this book if you need a refresher on trigonometry.
Part 1
The Questions
IN THIS PART …
The only way to become proficient in math is through a lot of practice. Fortunately, you have now 1,001 practice opportunities right in front of you. These questions cover a variety of calculus-related concepts and range in difficulty from easy to hard. Master these problems, and you’ll be well on your way to a very solid calculus foundation.
Here are the types of problems that you can expect to see:
Algebra review (Chapter 1)
Trigonometry review (Chapter 2)
Limits and continuity (Chapter 3)
Derivative fundamentals (Chapters 4 through 7)
Applications of derivatives (Chapter 8)
Antiderivative basics (Chapters 9 and 10)
Applications of antiderivatives (Chapter 11)
Antiderivatives of other common functions and L’Hôpital’s rule (Chapter 12)
More integration techniques (Chapters 13 and 14)
Improper integrals, the trapezoid rule, and Simpson’s rule (Chapter 15)
Chapter 1
Algebra Review
Performing well in calculus is impossible without a solid algebra foundation. Many calculus problems that you encounter involve a calculus concept but then require many, many steps of algebraic simplification. Having a strong algebra background will allow you to focus on the calculus concepts and not get lost in the mechanical manipulation that's required to solve the problem.
The Problems You’ll Work On
In this chapter, you see a variety of algebra problems:
Simplifying exponents and radicals
Finding the inverse of a function
Understanding and transforming graphs of common functions
Finding the domain and range of a function using a graph
Combining and simplifying polynomial expressions
What to Watch Out For
