Calculus with Applications, Brief Version plus MyLab Math/MyLab Statistics -- Access Card Package, 10th Edition

• Based on the authors’ experience in the classroom along with feedback from many instructors across the country, this revision improves the clarity of the presentation and provides students with more opportunities to learn, practice, and apply what they’ve learned on their own.
• The Prerequisite Skills Diagnostic Test gives students and instructors a means to assess the basic prerequisite skills needed to be successful in this course. Answers to the test include references to specific content in the algebra review chapter. The solutions to the questions are included in an appendix so students can self-remediate in a targeted fashion.
• More applications and exercises include real data.
• The Instructor’s Edition (AIE) is now fully annotated. It includes valuable teaching tips in the margins for those instructors who are new to teaching this course. In addition, answers to most exercises are provided directly on the exercise set page to make it easier to assign and check homework. Challenging exercises are labeled with a plus sign (“+”) in the AIE to make them easy to identify.
• New to the MyMathLab course
  • A “Getting Ready for Applied Calculus” chapter covers prerequisite skills. Used together with the pre-made Diagnostic Tests and Personalized Homework feature, MyMathLab provides a realistic way to address gaps in basic algebra skills.
  • Personalized Homework functionality allows instructors to create homework assignments based on the results of student assessments
  • Tutorial videos for every section of the textbook cover important concepts and terms, and are easily accessible for students who miss lecture.
  • Application labels within exercise sets (e.g., “Business/Econ”) make it easy for instructors to find types of applications appropriate to students.
  • A Ready-To-Go MyMathLab course option for this book provides students with all the same great MyMathLab features that you’re used to, but make it easier for instructors to get started. Each course includes pre-assigned homeworks and quizzes to make creating your course even simpler. For this book, the Ready-to-Go option includes:
    • Prerequisite Skills Test with accompanying personalized homework for remediation
    • A homework assignment for each section of the book
    • Chapter Review Self-Check Quiz with accompanying personalized homework
  • Interactive Figures designed for both in-class teaching and independent learning. Make them a part of assignments with Interactive Figure Questions in MyMathLab.

• Enhanced examples include more detailed annotations to guide students through new concepts and skills. Since students tend to refer back to the examples for help with homework, they will find this new feature especially helpful.
• “Your Turn” exercises, following selected examples, provide students with an easy way to stop and check their understanding of the skill or concept being presented. Answers are provided at the end of the section’s exercises.
• Tailor your technology coverage—material on graphing calculators or Excel^® is now set off to make it easier for students and instructors to find if they want to use this technology, or to skip if they don't.
  • All of the figures depicting graphing calculator screens have been redrawn to create a more accurate depiction of the math.
  • This edition references and provides students with a transition to the new MathPrint^™ operating system of the TI-84 Plus through the technology notes, a new appendix, and the Graphing Calculator and Excel Spreadsheet Manual.
• New and updated Extended Applications include new problems and new data sets based on current, relevant sources.
• Reference Tables for Exercises appear in the back of the book, next to the answers to odd-numbered exercises. These tables correlate exercises to a specific example in the text; for review exercises, they refer to the section in the chapter where the topic of the exercise is first discussed.

Content Updates

• Nearly 20% of the applications throughout the book are new or updated, with 38% of the examples being updated or completely new, and more than 230 exercises added or updated.
• Chapter R (Algebra Reference): The flow of the material was improved through the reordering of some exercises and examples. Exercises were added to section R.1 (on performing algebraic operations) and section R.5 (on solving inequalities).
• Chapter 1 (Linear Functions): Changes in the presentation were made throughout to increase clarity, including adding some examples and rewriting others. Terminology in Section 1.2 (Linear Functions and Applications) was adjusted to be more consistent with usage in economics.
• Chapter 2 (Nonlinear Functions): The material in Section 2.1 (Properties of Functions) on the Dow Jones Average was updated. Material on even and odd functions was added. Material on identifying the degree of a polynomial has been rewritten as an example to better highlight the concept. The discussion of the Rule of 70 and the Rule of 72 was improved. A new Extended Application on Power Functions has been added.
• Chapter 3 (The Derivative): In Section 3.1 (Limits), the introduction of limits was completely revised. The opening discussion and example were transformed into a series of examples that progress through different limit scenarios: a function defined at the limit, a function undefined at the limit (a hole in the graph), a function defined at the limit but with a different value than the limit (a piecewise function), and then finally, finding a limit when one does not exist. New figures were added to illustrate the different scenarios. In Section 3.2 (Continuity) the definition and example of continuity has been revised using a simple process to test for continuity. The opening discussion of Section 3.5 (Graphical Differentiation), showing how to sketch the graph of the derivative given the graph of the original function, was rewritten as an example.
• Chapter 4 (Calculating the Derivative): The introduction to the chain rule was rewritten as an example in Section 4.3 (The Chain Rule). Exercise topics were revised to cover subjects such as worldwide Internet users, online learning, and the Gateway arch.
• Chapter 5 (Graphs and the Derivative): In Section 5.1 (Increasing and Decreasing Functions) the definition of increasing/decreasing functions has been moved to the beginning of the chapter, followed by the discussion of using derivatives to determine where the function increases and decreases. The determination of where a function is increasing or decreasing is divided into three examples: when the critical numbers are found by setting the derivative equal to zero, when the critical numbers are found by determining where the derivative is undefined, and when the function has no critical numbers.
• Chapter 6 (Applications of the Derivative): Changes in the presentation were made throughout to increase clarity and exercise sets were rearranged to improve progression and parity.
• Chapter 7 (Integration): The social sciences category of exercises was added to Section 7.1 (Antiderivatives), including the topics of bachelor's degrees and the number of females earning degrees in dentistry. Color was added to the introduction and first example of substitution in Section 7.2 (Substitution) to enable students to follow the substitution more easily.
• Chapter 8 (Further Techniques and Applications of Integration): In addition to exercises based on real data being updated, examples in this chapter were changed for pedagogical reasons.
• Chapter 9 (Multivariable Calculus): Graphs generated by Maple^™ were added to Examples 2 and 4 in Section 9.3 (Maxima and Minima) to assist students in visualizing the concept of relative extrema. Material covering utility functions was added to Section 9.4 (Lagrange Multipliers).