Chapter P: Preliminaries Chapter 1: Limits and Continuity Chapter 2: Differentiation Chapter 3: Transcendental Functions Chapter 4: More Applications of Differentiation Chapter 5: Integration Chapter 6: Techniques of Integration Chapter 7: Applications of Integration Chapter 8: Conics, Parametric Curves, and Polar Curves Chapter 9: Sequence, Series, and Power Series Chapter 10: Vectors and Coordinate Geometry in 3-Space Chapter 11: Vector Functions and Curves Chapter 12: Partial Differentiation Chapter 13: Applications of Partial Derivatives Chapter 14: Multiple Integration Chapter 15: Vector Fields Chapter 16: Vector Calculus Chapter 17: Differential forms and Exterior Calculus Chapter 18: Ordinary Differential Equations Appendix 1 Appendix 2 Appendix 3 Appendix 4 Appendix 5 Answers to Odd Numbered Exercises Index

This title also available with MyMathLab™ This title is also available with MyMathLab–an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them better absorb course material and understand difficult concepts. MyMathLab helps improve individual students’ performance. It has a consistently positive impact on the quality of learning in higher-education math instruction.  MyMathLab’s comprehensive online gradebook automatically tracks your students’ results on tests, quizzes, homework, and in the study plan. MyMathLab provides engaging experiences that personalize, stimulate, and measure learning for each student.  The homework and practice exercises in MyMathLab are correlated to the exercises in the textbook. The software offers immediate, helpful feedback when students enter incorrect answers. Exercises include guided solutions, sample problems, animations, and eText clips for extra help. Pearson eText gives students access to the text whenever and wherever they have online access to the Internet. eText pages look exactly like the printed text, offering powerful new functionality for students and instructors. Users can create notes, highlight text in different colours, create bookmarks, zoom, click hyperlinked words and phrases to view definitions, and view in single-page or two-page view. Calculus: a Complete Course, 9th Edition contains 19 chapters, P and 1—18, plus 5 Appendices. It covers the material usually encountered in a three- to five-semester real-variable calculus program, involving real-valued functions of a single real variable (differential calculus in Chapters 1—4 and integral calculus in Chapters 5—8), as well as vector-valued functions of a single real variable (covered in Chapter 11), real-valued functions of several real variables (in Chapters 12—14), and vector-valued functions of several real variables (in Chapters 15—17). Chapter 9 concerns sequences and series, and its position is rather arbitrary. Chapter 10 contains necessary background on vectors and geometry in 3-dimensional space as well as some linear algebra that is useful, although not absolutely essential, for the understanding of subsequent multivariable material. Material on differential equations is scattered throughout he book, but Chapter 18 provides a compact treatment of ordinary differential equations (ODEs), which may provide enough material for a one-semester course on the subject. Several supplements are available for use with Calculus: A Complete Course, 9th Edition. Available to students is the Student Solutions Manual (ISBN: 9780134491073): This manual contains detailed solutions to all the even numbered exercises, prepared by the authors. There are also such Manuals for the split volumes, for Single Variable Calculus (ISBN: 9780134579863), and for Calculus of Several Variables (ISBN: 9780134579856). Available to instructors are the following resources: Instructor’s Solutions Manual Computerized Test Bank Pearson’s computerized test bank allows instructors to filter and select questions to create quizzes, tests, or homework (over 1,500 test questions) Image Library, which contains all of the figures in the text provided as individual enlarged .pdf files suitable for printing to transparencies.

This title also available with MyMathLab™ This title is also available with MyMathLab–an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them better absorb course material and understand difficult concepts. The 9th edition, in addition to various corrections and refinements, fills in gaps in the treatment of differential equations from the 8th edition, with entirely new material. A linear operator approach to understanding differential equations is added. Also added is a refinement of the existing material on the Dirac delta function, and a full treatment of Laplace transforms. In addition, there is an entirely new section on phase plane analysis. The new phase plane section covers the classical treatment, if that is all one wants, but it goes much further for those who want more, now or later. It can set the reader up for dynamical systems in higher dimensions in a unique, lucid, and compact exposition. With existing treatments of various aspects of differential equations throughout the existing text, the 9th edition becomes suitable for a semester course in differential equations, in addition to the existing standard material suitable for four semesters of calculus. Besides numerous improvements and clarifications throughout the book and tweakings of existing material such as consideration of probability densities with heavy tails in Section 7.8, and a less restrictive definition of the Dirac delta function in Section 16.1, there are two new sections in Chapter 18, one on Laplace Transforms (Section 18.7) and one on Phase Plane Analysis of Dynamical Systems (Section 18.9).