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This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series because, simply, "IT WORKS." Mike Sullivan, after twenty-five years of teaching, knows exactly what readers need to do to succeed and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Readers who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed. This dependable text retains its best features–accuracy, precision, depth, strong reader support, and abundant exercises, while substantially updating content and pedagogy. After completing the book, readers will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.
Graphs. Trigonometric Functions. Analytic Trigonometry. Applications of Trigonometric Functions. Polar Coordinates; Vectors. Analytic Geometry. Exponential and Logarithmic Functions.
For all readers interested in trigonometry.
|Preface to the Instructor|
|Preface to the Student|
|Ch. 1||Functions and Graphs||1|
|Ch. 2||Trigonometric Functions||125|
|Ch. 3||Analytic Trigonometry||205|
|Ch. 4||Applications of Trigonometric Functions||249|
|Ch. 5||Polar Coordinates; Vectors||311|
|Ch. 6||Analytic Geometry||371|
|Ch. 7||Exponential and Logarithmic Functions||447|
As professors at both an urban public university and a community college, Michael Sullivan and Michael Sullivan III are aware of the varied needs of trigonometry students. As a teacher, and as an author of engineering calculus, finite mathematics, and business calculus texts, Michael understands what students must know if they are to be focused and successful in upper level mathematics courses. As a father of four, including the co-author, he also understands the realities of college life. His co-author and son, Michael III, belies passionately in the value of technology as a tool for learning that enhances understanding without sacrificing important skills.
Together, Michael and Michael III have taken great pains to ensure that this text contains solid, student-friendly examples and exercises, as well as a clear, seamless writing style. Please share with them your experiences teaching from this text.
The Third Edition builds upon a strong foundation by integrating new features and techniques that further enhance student interest and involvement. The elements of previous editions that have proved successful remain, while many changes, some obvious, others subtle, have been made. One important benefit of authoring a successful series is the broad-based feedback upon which improvements and additions are ultimately based. Virtually every change to this edition is the result of thoughtful comments and suggestions from colleagues and students who used previous editions. We are sincerely grateful for this feedback and have tried to make changes that improve the usefulness of the text for both instructors and students.
Preparing for This Section
Most sections now open with a referenced list (by section and page number) of key items to review in preparation for the section ahead. This provides a just-in-time review for students.
Each section also contains a numbered list of learning objectives. As the learning objective is addressed in the text, its number will appear.
Concepts and Vocabulary
At the end of every section, there is a short list of Fill-in-the-Blank and True/False items that test concepts and vocabulary in a short answer format. Several quick-answer questions are also included.
At the end of Chapters 2-6, exercises are provided that require skills learned in the earlier chapters. These cumulative reviews serve to continually reinforce the important concepts of trigonometry. They also make it easier for the student to prepare for a comprehensive final examination.
To meet the varied needs of diverse syllabi, this book contains more content than expected in a trigonometry course. The illustration shows the dependencies of chapters on each other.
As the chart indicates, this book has been organized with flexibility of use in mind. Even within a given chapter, certain sections are optional and can be skipped without fear of future problems.
Chapter 1: Functions and Their Graphs
A quick coverage of this chapter, which is mainly review material, will enable you to get to Chapter 2 Trigonometric Functions earlier.
Chapter 2: Trigonometric Functions
The sections follow in sequence. Section 2.8 is optional.
Chapter 3: Analytic Trigonometry
The sections follow in sequence. Sections 3.2, 3.6, and 3.8 may be skipped in a brief course.
Chapter 4: Applications of Trigonometry
The sections follow in sequence. Sections 4.4 and 4.5 are optional.
Chapter 5: Polar Coordinates; Vectors
Sections 5.1-5.3 and Sections 5.4-5.7 are independent and may be covered separately.
Chapter 6: Analytic Geometry
Sections 6.1-6.4 follow in sequence. Sections 6.5, 6.6, and 6.7 are independent of each other, but do depend on sections 6.1-6.4.
Chapter 7: Exponential and Logarithmic Functions
Sections 7.1-7.4 follow in sequence. Sections 7.5, 7.6, and 7.7 each require Section 7.3.
This consists of review material, which can be used as the first part of a course in trigonometry or as a just-in-time review. Specific references to this material occur throughout the text to assist in the review process.