preface The third edition of College Algebra is being published at the beginning of a new era in the teaching of mathematics in our colleges and universities. Educators agree that this decade will see major changes in the way mathematics is taught critical thinking will be nurtured, rote learning will be de-emphasized, and mathematical comprehension will be fostered by increased classroom use of electronic computers and calculators. In revising our textbook, we have tried to provide a measured response to these trends while continuing to offer students a straightforward, read- able book. Prerequisites In writing and revising this textbook, we had in mind a typical reader with the equiv- alent of two years of college-preparatory mathematics in algebra and plane geome- try, or one who has takena college-level course in introductory algebra. Determined students with less preparation should be able to use the textbook successfully, par- ticularly if they supplement it with the accompanying Student Guide with Solutions. Presentation Topics are presented in brief sections that develop logically from basic to more advanced skills and concepts. Motivation for new ideas is provided by showing their application in real-world situations. Numerous illustrative examples are worked out in detail. When appropriate, specific problem-solving procedures are given. Problems Problems at the end of each section begin with simple drill-type exercises to build student confidence. A gradual progression to more advanced problems invites students to work to the best of their abilities. Odd-numbered problems Many of the odd-numbered problems, particularly those at the beginning of each problem set, are similar in scope to the worked-out exam- ples in the text. Answers to most of these problems, with appropriate graphs, are given in the back of the book. In general, odd-numbered problems can be assigned Jor homework with an expectation of success by most students. ix
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