xxi As professors at an urban university (Michael Sullivan) and a community college (Michael Sullivan III), we are aware of the varied needs of students in this course. Such students range from those who have little mathematical background and are fearful of mathematics courses to those with a strong mathematical education and a high level of motivation. For some of your students, this will be their last course in mathematics, whereas others will further their mathematical education. We have written this text with both groups in mind. As a teacher, and as an author of precalculus, engineering calculus, finite mathematics, and business calculus texts, Michael Sullivan understands what students must know if they are to be focused and successful in upper-level math courses. As an instructor and an author of a developmental mathematics series, Michael’s son and co-author, Michael Sullivan III, understands the trepidations and skills that students bring to the Precalculus course. As the father of recent college graduates, Michael III realizes that today’scollege students demand a variety of media to support their education. This text addresses that demand by providing technology and video support that enhances understanding without sacrificing math skills.Together, we have taken great pains to ensure that the text offers solid, student-friendly examples and problems, as well as a clear and seamless writing style. A tremendous benefit of authoring a successful series is the broad-based feedback we receive from teachers and students. We are sincerely grateful for their support. Virtually every change in this edition is the result of their thoughtful comments and suggestions.We are confident that, building on the success of the first eight editions and incorporating many of these suggestions, we have made Precalculus Enhanced with Graphing Utilities, 9th Edition, an even better tool for learning and teaching.We continue to encourage you to share with us your experiences teaching from this text. Features in the Ninth Edition A descriptive list of the many special features of Precalculus can be found on the endpapers in the front of this text. This list places the features in their proper context, as building blocks of an overall learning system that has been carefully crafted over the years to help students get the most out of the time they put into studying. Please take the time to review it and to discuss it with your students at the beginning of your course. Our experience has been that when students use these features, they are more successful in the course. • Highlighting Contemporary Mathematicians NEW! It is important for students to see themselves represented in the world around them. Who is a mathematician? What are they working on and what was their journey? A short bio is presented, near the beginning of each chapter, to highlight a selection of diverse contemporary mathematicians and scientists who have made advancements in various fields. Information is provided to encourage students to learn more about each mathematician’s work and be inspired to pursue their own mathematical and scientific journeys. • MyLab Exercises UPDATED Michael Sullivan III reviewed all MyLab exercises for this revision and edited them to better match the language and approach of the text and to make the solutions (within View an Example and Help Me Solve This) more student-friendly. • Instructional Videos NEW! Every instructional video is new, created exclusively for this product! The videos have the following features: • Author-driven—The authors reviewed every script and every video. Author Michael Sullivan III appears in many videos. • Objective-based—one video for each objective in the book • Segmented—videos divided into shorter parts for ease of navigation (Introductions, Examples, and Summary) • Interactive Figures—to help students visualize key concepts • Handwriting—our research showed that students prefer seeing examples worked out by hand • High-definition—clearly readable on phones • Accessible—all are close-captioned • Various instructors—Featured in the videos are: ■ Michael Sullivan III (Joliet Junior College and Florida SouthWestern State College) ■ Kevin Bodden (Lewis and Clark Community College) ■ Randy Gallaher (Lewis and Clark Community College) ■ Sue Glascoe (Mesa Community College) ■ Paulette Haywood-Watson (Stillman College) ■ Brian Macon (Valencia College) ■ Caleb Schroeder (Antelope Valley College) • Graphing Utility Screen Captures We have added even more Desmos and GeoGebra screen captures along with TI-84 Plus CE screen captures. We recognize that Desmos and GeoGebra simplify finding points of interest such as local extrema, intercepts, and points of intersection with systems of equations. Additionally, Desmos and GeoGebra are powerful tools when it comes to graphing implicit equations and polar curves. These updated screen captures provide alternate ways of visualizing concepts and making connections between equations, data, and graphs in full color. • Margin Notes When appropriate, a variety of notes are provided in the margins of the text. • Need To Review? comments are included as a timely reference to the chapter, section and page, where a student may need to refresh a particular skill necessary for the current conversation. Preface to the Instructor
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