TAILIEUCHUNG - Ebook Calculus, early transcendentals (9th edition): Part 1
(BQ) Part 1 book "Calculus, early transcendentals" has contents: Limits and continuity, the derivative, topics in differentiation, the derivative in graphing and applications, integration, applications of the definite integral in geometry, science, and engineering, principles of integral evaluation. | December 30, 2008 11:00 M91-for-the-student Sheet number 1 Page number ii cyan magenta yellow black FOR THE STUDENT Calculus provides a way of viewing and analyzing the physical world. As with all mathematics courses, calculus involves equations and formulas. However, if you successfully learn to use all the formulas and solve all of the problems in the text but do not master the underlying ideas, you will have missed the most important part of calculus. If you master these ideas, you will have a widely applicable tool that goes far beyond textbook exercises. Before starting your studies, you may find it helpful to leaf through this text to get a general feeling for its different parts: ■ The opening page of each chapter gives you an overview of what that chapter is about, and the opening page of each section within a chapter gives you an overview of what that section is about. To help you locate specific information, sections are subdivided into topics that are marked with a box like this . ■ Each section ends with a set of exercises. The answers to most odd-numbered exercises appear in the back of the book. If you find that your answer to an exercise does not match that in the back of the book, do not assume immediately that yours is incorrect—there may be more than one way to express the answer. For √ example, if your answer is √ 2/2 and the text answer is 1/ 2 , then both are correct since your answer can be obtained by “rationalizing” the text answer. In general, if your answer does not match that in the text, then your best first step is to look for an algebraic manipulation or a trigonometric identity that might help you determine if the two answers are equivalent. If the answer is in the form of a decimal approximation, then your answer might differ from that in the text because of a difference in the number of decimal places used in the computations. ■ The section exercises include regular exercises and four special categories: Quick Check, Focus on .
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