For freshman/sophomore, 2-semester (2-3 quarter) courses covering applied calculus for students in business, economics, social sciences, or life sciences.
Calculus with Applications, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added “help text” within examples.
Also available with MyMathLab
The MyMathLab® course for the text provides online homework and additional learning resources for students, such as video tutorials, algebra help, step-by-step examples, and graphing calculator help. The course features many more assignable exercises than the previous edition.
MyMathLab not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.
This title is a Pearson Global Edition. The Editorial team at Pearson has worked closely with educators around the world to include content which is especially relevant to students outside the United States.
- A wide variety of applications reference real data from articles in newspapers, journals, and websites. Examples and exercises with recent data help students learn how the mathematics is applied to their field of study, immediately addressing the question, “Why are we learning this?” NEW! The authors have added or updated 157 (15.9%) of the application exercises throughout the text..
- Apply It opens most sections with a provocative, real-world oriented question that is addressed in the exposition and exercises.
- Applied exercises are grouped by type of application and highlighted for easy identification.
- Extended Applications appear at the end of all chapters to stimulate student interest and foster in-depth learning. Directions for Group Projects in the Extended Applications provide an opportunity for cooperative learning.
- Index of Applications provides instructors and students with an overview of the types of applications throughout the book.
- Application exercises within MyMathLab are labeled by type of application.
- Assessment and remediation features appear at key points to ensure that students keep up with the material, and provide plenty of pointers to help those who fall behind.
- “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.
- NEW! Warm-Up exercises were added to many exercise sets to provide an opportunity for students to refresh key prerequisite skills at “point of use.” Each exercise includes a note about where students can go for help if needed.
- The Prerequisite Skills Diagnostic Test, just prior to Chapter R, gives students and instructors an opportunity to assess students’ skills on topics that are critical to success in this course. Answers refer to specific review material in the text for targeted remediation.
- An Algebra Reference chapter appears at the beginning of the text, allowing students to brush up on their algebra skills.
- “For Review” boxes in the margin provide immediate review, or refer students back to appropriate sections as needed.
- “Help text” annotations, set in small blue type, appear next to the steps within worked-out examples and provide an additional aid for students with weaker algebra skills. Many more have been added in this edition.
- Chapter Summaries include important concepts, rules, and formulas, helping students review what they have learned.
- Caution notes warn students of common errors/misconceptions and Note boxes offer additional useful information. Both are highlighted for easy reference.
- Diverse exercise sets show how math is used in students’ major courses of study–business, life science, and social sciences.
- Connection Exercises integrate topics/concepts from different sections. These are denoted with an icon.
- Writing Exercises provide students with an opportunity to write about important mathematical ideas. These are denoted with an icon.
- Technology Exercises, denoted with an icon, explore concepts using a graphing calculator or spreadsheet.
- Concept Check exercises in the Chapter Reviews help students verify their understanding of important topics.
- Reference Tables for Exercises appe
New to this Edition
New and updated features
- Warm-Up exercises were added to many exercise sets to provide an opportunity for students to refresh key prerequisite skills at “point of use.”
- Graphing calculator screens have been updated to reflect the TI-84 Plus C, which features color and a much higher resolution screen. Additionally, the graphing calculator notes have been updated throughout.
- More help text in the examples provide an additional aid for students with weaker algebra skills. These notes are set in small blue type next to the steps within worked-out examples.
- More real data in examples and exercises include additional or updated data:
- The authors have added or updated 157 (15.9%) of the application exercises throughout the text.
- Updated exercises and examples are based on user feedback and other factors.
- Of the 3516 exercises within the sections, 397 (11.2%) are new or updated.
- Of the 413 examples in the text, 55 (13.3%) are new or updated.
- Chapter R
- Added new Your Turn exercises to ensure that there is a student assessment for each major concept.
- Added more detail to R.2 on factoring perfect squares.
- Chapter 1
- Rewrote the part of 1.1 involving graphing lines, emphasizing different methods for graphing.
- Rewrote 1.2 on supply, demand, break-even analysis, and equilibrium; giving formal definitions that match what students would see in business and economics courses. All of the business applications were revised, according to recommendations of reviewers, to be more in line with business texts. Also added a new Example 6 on finding a cost function.
- Added color for pedagogical reasons to make content easier to follow.
- Chapter 2
- Updated introduction to 2.1, rewriting it as an example to make it easier for students to reference the necessary skills to identify nonlinear functions, determine the domain and range, and estimate values from a graph.
- In 2.2, added another approach to graphing parabolas by splitting former Example 4 into two separate examples. The new Example 5 illustrates how to graph a parabola by first finding its characteristics (including orientation, intercepts, vertex, and axis of symmetry). The characteristics are highlighted in a box for easy reference.
- Added quadratic regression to 2.2. Example 9 includes a by-hand method and a method using technology.
- Rewrote Example 10 in 2.2, which illustrates translations and reflections of a graph, by breaking it into three parts. The first part is a basic transformation, and the ensuing parts build in complexity.
- Added the definition of a real root to 2.3 and added a technology box to illustrate how to use a graphing calculator to approximate the roots of higher degree polynomials.
- Added cubic regression to 2.3 (Example 5).
- Chapter 3
- Added Caution note to 3.1 and added a new solution method to Example 9.
- Added new Example 2 to 3.3 using recent data.
- Updated Example 4 in 3.3 to use clearer wording.
- Chapter 4
- Clarified the rules for differentiation in 4.1, 4.2, 4.3 and added a new Example 8.
- Expanded Example 9 in 4.1 to include a new graph.
- Updated Example 10 in 4.1 and Example 4 in 4.5.
- Chapter 5
- Added new examples to 5.2 (Example 3c) and 5.3 (Example 6b).
- Expanded Example 6a in 5.4 to show the inflection point.
- Chapter 6
- Updated Example 3 in 6.1 to show an application of the concept.
- Modified examples in 6.2 (Example 3), 6.4 (Example 2), and 6.6 (Example 1). <
Table of Contents
- R. Algebra Reference
- R-1 Polynomials
- R-2 Factoring
- R-3 Rational Expressions
- R-4 Equations
- R-5 Inequalities
- R-6 Exponents
- R-7 Radicals
- 1. Linear Functions
- 2. Nonlinear Functions
- 3. The Derivative
- 4. Calculating the Derivative
- 5. Graphs and the Derivative
- 6. Applications of the Derivative
- 7. Integration
- 8. Further Techniques and Applications of Integration
- 9. Multivariable Calculus
- 10. Differential Equations
- 11. Probability and Calculus
- 12. Sequences and Series
- 13. The Trigonometric Functions
- Answers to Selected Exercises
- Photo Acknowledgements