The Sullivan Enhanced with Graphing Utilities series fully integrates the graphing calculator. These widely adopted books are known for their precise careful presentation of mathematics. This precision permeates the book and is particularly evident in the examples, pedagogy and exercises. This book includes coverage of linear, quadratic, polynomial, rational, exponential and logarithmic functions. In addition, this book discusses the zeros of a polynomial function, systems of equations and inequalities, probability, and conics. For anyone who needs to brush up on everyday or business-related mathematics.
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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 College Algebra students, ranging from those who have little mathematical background and a fear of mathematics courses, to those having a strong mathematical education and a high level of motivation. For some of your students, this will be their last course in mathematics, while others will further their mathematical education. This text is written for both groups.
As a teacher, and as an author of precalculus, engineering calculus, finite math, and business calculus texts, Michael understands what students must know if they are to be focused and successful in upper level math courses. However, as a father of four, including the coauthor, he also understands the realities of college life. His co-author and son, Michael Sullivan III, believes passionately in the value of technology as a tool for learning that enhances understanding without sacrificing important skills. Together, both authors have taken great pains to ensure that the text contains solid, student-friendly examples and problems, as well as a clear and seamless writing style. We encourage you to share with us your experiences teaching from this text.
In the Third Edition
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 made by colleagues and students who have used previous editions. This feedback has proved invaluable and has been used to make changes that improve the flow, usability, and accessibility of the text. For example, some topics have been moved to better reflect the way teachers approach the course and problems have been added where more practice was needed. The supplements package has been enhanced through upgrading traditional supplements and adding innovative media components.
Reorganized Content for College Algebra
Specific Content Changes
In this edition emphasis is placed on the role of modeling in college algebra. To this end, dedicated sections appear on Linear Functions and Models, Quadratic Models, Power Functions and Models, Polynomial Functions and Models, Exponential and Logarithmic Functions and Models. Many of these applications focus on the areas of business, finance, and economics.
Chapter R is a robust expansion of the Appendix Review of the second edition.
New to this edition is a discussion of quadratic-in-form equations.
As a result of these changes, this edition will be an improved teaching device for professors and a better learning tool for students.
Features in the 3rd Edition
Using the 3rd Edition Effectively and Efficiently with Your Syllabus
To meet the varied needs of diverse syllabi, this book contains more content than a typical college algebra 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 can be skipped without fear of future problems.
Chapter R Review
This chapter is a revision of the Appendix in the second edition. It may be used as the first part of the course, or as a "just-in-time" review when the content is required in a later chapter. Specific references to this chapter occur throughout the book to assist in the review process.
Chapter 1: Graphs
This chapter presents an introduction to graphing and the graphing utility. Equations and inequalities are solved algebraically with graphical support. For those who prefer to treat complex numbers and quadratic equations with a negative discriminant early, Section 5.3 can be covered any time after Section 1.3.
Chapter 2: Linear and Quadratic Functions
This chapter provides an introduction to functions and then discusses two specific types of functions: linear functions and quadratic functions, along with models that utilize these functions.
Chapter 3: Functions and Their Graphs
Perhaps the most important chapter. Section 3.6 can be skipped without adverse effects.
Chapter 4: Polynomial and Rational Functions
Topic selection is dependent on your syllabus.
Chapter 5: The Zeros of a Polynomial Function
Topic selection is dependent on your syllabus. Section 5.1 is not absolutely necessary, but its coverage makes some computation easier.
Chapter 6: Exponential and Logarithmic Functions
Sections 6.1-6.5 follow in sequence; Sections 6.6, 6.7, and 6.8 each require Section 6.3.
Chapter 7: Systems of Equations and Inequalities
Sections 7.1-7.2 follow in sequence; Sections 7.3-7.7 require Sections 7.1 and 7.2, and may be covered in any order.
Chapter 8: Sequences; Induction; The Binomial Theorem
There are three independent parts: (1) Sections 8.1-8.3; (2) Section 8.4; (3) Section 8.5
Chapter 9: Counting and Probability
Sections 9.1-9.4 follow in order.
Chapter 10: Analytic Geometry Sections
10.1-10.4 follow in sequence. Section 10.5 is dependent on Sections 10.1-10.4 as well as Sections 7.1-7.2.
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