Calculus with Applications, 12th edition

For 2-semester/2-3 quarter courses covering applied calculus for business, economics, social sciences or life sciences.

An applied presentation that makes math meaningful

Calculus with Applications, 13th Edition prepares students for career success with applications throughout. Known for real data in their examples and exercises, the authors make mathematics relevant and accessible in the exposition, examples, exercise sets and supplementary resources. Students have ample opportunity to relate what they're learning to career situations through the Apply It question at the beginning of sections, the applied examples and exercises, and the Extended Application at the end of each chapter. 

Applications focus

• An Apply It question, typically at the start of a section, motivates the math content of the section by posing a real-world question that is then answered within the examples or exercises. 
• Applied examples and exercises weave applications throughout each chapter. 
• Extended Applications at the end of each chapter provide in-depth applied exercises to stimulate student interest.
• These activities can be completed individually or as a group project.
• Additional Extended Applications for the text can be found in MyLab Math. 

• The Index of Applications captures the authors' extensive search for fresh, engaging applications; an extended list of sources of real-world data is available on www.pearsonhighered.com/mathstatsresources. 

Abundant exercises

• Your Turn Exercises follow selected examples and provide students with an easy way to quickly stop and check their understanding. Answers are provided at the end of the section's exercises. 
• NEW / UPDATED - Approximately 12 percent of the exercises are new or updated, improving data and applications. This includes nearly 300 new exercises written for the 12th Edition. 
• Additional Concept Check exercises now appear at the beginning of the exercises in every section ensure that students understand basic concepts before proceeding. 
• Concept Check and Practice and Explorations exercises are followed by Applications exercises, which are grouped by application such as “Business and Economics.”
• Connections exercises integrate topics presented in different sections or chapters and are noted with an icon. 
• Technology exercises are labeled for graphing calculator and for spreadsheets. 
• Skills You'll Need exercises appear before many exercise sheets to give students an opportunity to refresh key prerequisite skills needed. 
• Writing exercises, labeled with a writing icon, provide students with an opportunity to explain important mathematical ideas. 
• Chapter Review Exercises include Concept Check exercises and an ample set of Practice and Exploration exercises. This gives students a comprehensive set of exercises to prepare for chapter exams. 

Consistent chapter pedagogy

• Chapter Openers for each chapter offer a quick introduction that relates to an application presented in the chapter. 
• For Review boxes are provided in the margin as appropriate, giving students just-in-time help with skills they should already know but may have forgotten. For Review comments sometimes include an explanation while others refer students to earlier parts of the textbook for a more thorough review. 
• Caution notes provide students with a quick “heads up” to common difficulties and errors. 
• Tech Notes: Material on graphing calculators and Microsoft® Excel® is clearly labeled to make it easier for instructors to use this material (or not). The figures depicting calculator screens are taken from the TI-84, which features color and higher pixel counts. 
• The end-of-chapter Summary is a quick recap of the important ideas of the chapter followed by a list of key definitions, terms, and examples. 
• REVISED - More “help text” annotations have been added to examples. These notes, 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. 
• REVISED - All answers in the Annotated Instructor's Edition are now located in one place at the back, saving time and page flipping to find answers. For instructors' convenience, all of the answers are also available for download as PDF in MyLab Math.  

Also available with MyLab Math

MyLab^® empowers you to reach every student. This flexible digital platform combines unrivaled content, online assessments, and customizable features so you can personalize learning and improve results, one student at a time. Learn more about MyLab Math.

Plus, get anytime, anywhere access with Pearson eText

Pearson eText is an easy-to-use digital textbook available within MyLab that lets students read, highlight, take notes, and review key vocabulary all in one place. 

For instructors not using MyLab, Pearson eText can also be adopted on its own as the main course material. Learn more about Pearson eText. 

Reach every student with MyLab

Teach your course your way 

• NEW - Integrated Review is now included within MyLab Math and can be used in corequisite courses or simply to help students who enter without a full understanding of prerequisite skills. Each student receives the help that they need—no more; no less. Integrated review provides videos on review topics, along with premade, assignable skills-check quizzes and personalized review homework assignments. 

Deliver trusted content 

• REVISED - All MyLab Math exercises have been reviewed and edited as needed by coauthor Geoffrey Krader for improved quality and fidelity to the text: 
• Solutions are more consistent with the text pedagogy. 
• The language in exercises and solutions has been updated to reflect modern conventions. 
• NEW - A newMultipurpose Interactive Matrix Tool is available in the Video & Resource library for students, to help with matrix row operations in appropriate chapters: 
• The tool can perform the row operations described in the text as well as pivot on any element.
• It can also assist with doing matrix operations by hand, by helping check for errors. 
• Student's Solutions Manual provides detailed solutions to all odd-numbered text exercises and sample chapter tests with answers. Available within MyLab Math. 
• Graphing Calculator and Excel Manuals are available within MyLab Math under Video & Resource Library > Learning Tools as well as at bit.ly/3kSaDDT. 

Empower learners

• REVISED - Interactive Figures bring mathematical concepts to life, helping students see the concepts through directed explorations and purposeful manipulation. These figures are assignable in MyLab Math and encourage active learning, critical thinking, and conceptual understanding. An expanded suite of Interactive Figures can be used in lectures or independently by students.
• NEW - Enhanced Assignments are section-level assignments that (1) address gaps in prerequisite skills with personalized prerequisite review, (2) help keep skills fresh with spaced practice of key finite math concepts, and (3) provide opportunities to work exercises without learning aids so that students can check their understanding. They are assignable and editable. 
• NEW - Hundreds of new exercises have been added to the course, including: 
• More application exercises throughout the text. 
• Setup & Solve exercises that require students to specify how to set up a problem as well as how to solve it. 
• Exercises added to chapters and sections that were more widely assigned, based on MyLab Math data from the previous edition. 
• NEW - Mindset videos and assignable, open-ended exercises foster a growth mindset in students. This material encourages them to maintain a positive attitude about learning, value their own ability to grow, and view mistakes as learning opportunities—so often a hurdle for math students. 
• NEW - Personal Inventory Assessments are a collection of online activities designed to promote self-reflection and metacognition in students. These 33 assessments include topics such as a Stress Management Assessment, Diagnosing Poor Performance and Enhancing Motivation, and Time Management Assessment. 
• Skills Check Quizzes help diagnose gaps in skills prior to each chapter. MyLab Math then provides personalized help. 
• NEW - Early Alerts—Now included with Performance Analytics, Early Alerts use predictive analytics to identify struggling students — even if their assignment scores are not a cause for concern. In both Performance Analytics and Early Alerts, instructors can email students individually or by group to provide feedback.  
• Pearson eText is an easy-to-use digital textbook available within MyLab that lets you read, highlight, and take notes all in one place. If you're not using MyLab, students can purchase Pearson eText on their own or you can assign it as a course to schedule readings, view student usage analytics, and share your own notes with students. Learn more about Pearson eText. 

New and updated features of this title

• Enhanced Assignments are editable, assignable, section-level assignments that address gaps in prerequisite skills with personalized prerequisite review, help keep skills fresh with spaced practice of key concepts, and provide opportunities to work exercises without learning aids so that students can check their understanding.
• More "help text" annotations have been added to examples. These notes, 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. 
• Approximately 12% of the exercises are new or updated, improving data and applications. This includes nearly 300 new exercises written for the 12th Edition. 
• New Concept Check exercises added to the beginning of the exercises in every section ensure that students understand basic concepts before proceeding. 
• All answers in the Annotated Instructor's Edition are now located in one place at the back, saving time and page-flipping to find answers, and are also available to download as PDF.