Preface to the Instructor xxiii Chapter 3 • NEW Example 4 in Section 3.4. • Example 3 in Section 3.5 has been rewritten and now involves finding the domain of a function. This illustrates an application/extension of solving quadratic polynomials and connects to Problems 31–32. Chapter 4 • NEW Desmos and GeoGebra screenshots added to illustrate concepts involving polynomial and rational functions. • Section 4.1 graphing utility exploration has been updated to include a Desmos screenshot to illustrate finding turning points. • Changes have been made in the notation in Section 4.5 for solving rational inequalities to maintain consistency in the application of the problem-solving process for solving all types of inequalities. Chapter 5 • NEW Desmos and GeoGebra screenshots added. • Updated Problems 57–62 in Section 5.7 involve a new model and expanded explanation for applications of inflation and purchasing power. Chapter 6 • Expanded explanation in Section 6.1 at the beginning of objective 4 when introducing conversion between degrees and radians. New illustrations use the definition of a radian to visualize wrapping radial units along the arc of the circle to deduce the relationship between 180 degrees and π radians. • NEW Desmos screen captures in Example 11 in Section 6.1 to illustrate how to approximate the value of a trigonometric function. • Example 5 in Section 6.6 added a Desmos screenshot to illustrate fitting a sinusoidal curve to a set of data. Chapter 7 • Section 7.2 Example 6 has been solved with two solution methods. Existing method 1 uses identities while the new second method uses a circle of radius r. • Section 7.3 Example 2 adds a Desmos screenshots to verify the exact solutions found when solving a trigonometric equation. Chapter 9 • Section 9.2 added multiple Desmos screenshots of graphs of polar equations. • Section 9.3 The complex plane; DeMoivre’s Theorem is presented in exponential form and polar form as well as the theorem for finding complex roots. • Examples 5–7 are rewritten to include polar form along with rectangular and exponential form. • Exercises 45–64 request polar form in addition to rectangular and exponential form. Chapter 11 • Many of the financial planning/investment exercises and examples have been rewritten to be more relevant to students today with realistic dollar amounts. • Desmos Matrix Calculator screenshots added in sections involving matrices. Chapter 12 • Desmos screenshots added to illustrate graphing sequences and finding their sum. • New Section 12.4 on the limit of a sequence and infinite series. New Within MyMathLab for School • MyLab Exercises—Author 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—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 to ensure the approach used in presenting material and solving problems reflects that in the text. In addition, the videos were reviewed by the authors for accuracy. 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: ■ Author 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) • Video Note-Taking Guide—Helps students be active learners while watching videos. Written specifically for the new Sullivan video program by Kevin Bodden and Randy Gallaher at Lewis and Clark Community College. • Interactive Figures—The suite of Interactive Figures has been expanded to support teaching and learning.
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