University Calculus: Early Transcendentals, Global Edition, 4th edition

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.

For 3-semester or 4-quarter­ courses covering single­ variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics.

Clear, precise, concise

University Calculus: Early Transcendentals helps students generalize and apply the key ideas of calculus through clear and precise explanations, thoughtfully chosen examples, meticulously crafted figures, and superior exercise sets. This text offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. In the 4th SI Edition, new co-authors Chris Heil (Georgia Institute of Technology) and Przemyslaw Bogacki (Old Dominion University) partner with author Joel Hass to preserve the text’s time-tested features while revisiting every word and figure with today’s students in mind.

Pearson MyLab Math is not included. Students, if Pearson MyLab Math is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. Pearson MyLab Math should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

Reach every student by pairing this text with Pearson MyLab Math

MyLabTM is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student.

Teach calculus the way you want to teach it, and at a level that prepares students for their STEM majors

· New co-author Chris Heil and co-author Joel Hass aim to develop students’ mathematical maturity and proficiency by going beyond memorization of formulas and routine procedures and showing how to generalize key concepts once they are introduced.

· Key topics are presented both formally and informally. The distinction between the two is clearly stated as each is developed, including an explanation as to why a formal definition is needed. Ideas are introduced with examples and intuitive explanations that are then generalized so that students are not overwhelmed by abstraction.

· Results are both carefully stated and proved throughout the book, and proofs are clearly explained and motivated. Students and instructors who proceed through the formal material will find it as carefully presented and explained as the informal development. If the instructor decides to downplay formality at any stage, it will not cause problems with later developments in the text.

· Expanded - PowerPoint^® lecture slides now include examples as well as key theorems, definitions, and figures. The files are fully editable making them a robust and flexible teaching tool.

Assess student understanding of key concepts and skills through a wide range of time-tested exercises

· Updated - Strong exercise sets feature a great breadth of problems — progressing from skills problems to applied and theoretical problems — to encourage students to think about and practice the concepts until they achieve mastery. In the 4th SI Edition, the authors added new exercises and exercise types throughout, many of which are geometric in nature.

· Writing exercises throughout the text ask students to explore and explain a variety of calculus concepts and applications.

· Technology exercises (marked with a “T”) are included in each section, requiring students to use a graphing calculator or computer when solving. In addition, Computer Explorations give the option of assigning exercises that require a computer algebra system (CAS, such as Maple or Mathematica).

Support a complete understanding of calculus for students at varying levels

· Each major topic is developed with both simple and more advanced examples to give the basic ideas and illustrate deeper concepts.

· Updated - Figures are conceived and rendered to provide insight for students and support conceptual reasoning. In the 4^th SI Edition, new figures are added to enhance understanding and graphics are revised throughout to emphasize clear visualization.

· Enhanced - Annotations within examples (shown in blue type) guide students through the problem solution and emphasize that each step in a mathematical argument is rigorously justified. For the 4th SI Edition, many more annotations were added.

· End-of-chapter materials include review questions, practice exercises covering the entire chapter, and a series of Additional and Advanced Exercises with more challenging or synthesizing problems.

Pearson MyLabTM Math is not included. Students, if Pearson MyLab Math is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. Pearson MyLab Math should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.</

· New co-author Chris Heil and co-author Joel Hass aim to develop students’ mathematical maturity and proficiency by going beyond memorization of formulas and routine procedures and showing how to generalize key concepts once they are introduced.

· PowerPoint^® lecture slides now include examples as well as key theorems, definitions, and figures. The files are fully editable making them a robust and flexible teaching tool.

· Strong exercise sets feature a great breadth of problems — progressing from skills problems to applied and theoretical problems — to encourage students to think about and practice the concepts until they achieve mastery. In the 4th SI Edition, the authors added new exercises and exercise types throughout, many of which are geometric in nature.

· Figures are conceived and rendered to provide insight for students and support conceptual reasoning. In the 4th SI Edition, new figures are added to enhance understanding and graphics are revised throughout to emphasize clear visualization.

· Annotations within examples (shown in blue type) guide students through the problem solution and emphasize that each step in a mathematical argument is rigorously justified. For the 4^th SI Edition, many more annotations were added.

Pearson MyLabTM Math is not included. Students, if Pearson MyLab Math is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN. Pearson MyLab Math should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

· Assignable Exercises: New co-author Przemyslaw Bogacki analyzed aggregated student usage and performance data from MyLabTM Math for the previous edition of this text. The results of this analysis helped improve the quality and quantity of text and MyLab exercises and learning aids that matter the most to instructors and students.

· Setup & Solve Exercises: These exercises require students to show how they set up a problem as well as the solution, better mirroring what is required on tests. This new exercise type was widely praised by users of the 3rd edition, so more were added to the 4th edition. Each Setup & Solve Exercise is also now available as a regular question where just the final answer is scored.

· Additional Conceptual Questions focus on deeper, theoretical understanding of the key concepts in calculus. These questions were written by faculty at Cornell University under an NSF grant and are also assignable through Learning CatalyticsTM.

· A full suite of Interactive Figures has been added to support teaching and learning. The figures are designed to be used in lecture as well as by students independently. The figures are editable using the freely available GeoGebra software. Videos that use the Interactive Figures to explain key concepts are also included. The figures were created by Marc Renault (Shippensburg University), Steve Phelps (University of Cincinnati), Kevin Hopkins (Southwest Baptist University), and Tim Brzezinski (Berlin High School, CT).

· Instructional videos: Numerous instructional videos augment the already robust collection within the course. These videos support the overall approach of the text by going beyond routine procedures to show students how to generalize and connect key concepts. The Guide to Video-Based Assignments makes it easy to assign videos for homework by showing which Pearson MyLab Math exercises correspond to each video.</