1 Functions 2 Limits and Continuity 3 Derivatives  4 Applications of Derivatives 5 Integrals 6 Applications of Definite Integrals 7 Transcendental Functions 8 Techniques of Integration 9 First-Order Differential Equations 10 Infinite Sequences and Series 11 Parametric Equations and Polar Coordinates 12 Vectors and the Geometry of Space 13 Vector-Valued Functions and Motion in Space 14 Partial Derivatives 15 Multiple Integrals 16 Integrals and Vector Fields 17 Second-Order Differential Equations online Appendices A.1 Real Numbers and the Real Line A.2 Mathematical Induction A.3 Lines, Circles, and Parabolas A.4 Proofs of Limit Theorems A.5 Commonly Occurring Limits A.6 Theory of the Real Numbers A.7 Complex Numbers A.8 The Distributive Law for Vector Cross Products A.9 The Mixed Derivative Theorem and the Increment Theorem

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. Figures are conceived and rendered to provide insight for students and support conceptual reasoning. The flexible table of contents divides topics into manageable sections, allowing instructors to tailor their course to meet the specific needs of their students. Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogues studied earlier in the book.  

  Two new sections: Section 8.1 reviews basic integration formulas and the Substitution Rules combined with algebraic methods and trigonometric identities Section 8.10 on probability as an application of improper integrals to making predictions for probabilistic models, with a wide range of applications in business and sciences Presentation of absolute convergence before considering the Ratio and Root Tests for convergence of a series, which allows the tests to be stated in their stronger forms (Theorems 13 and 14, Section 10.5) Updated and new art, and additional tables, supporting examples and exercises throughout Material has been rewritten or enhanced, for greater clarity or improved motivation. Here are some examples:   Definition of continuous at x = c Geometric insight into L’Hôpital’s Rule Discussion of cycloid curve Introduction to differentiability for functions of several variables Chain Rule for paths Most chapter introductory overviews A variety of new examples throughout, including: Predicting the rise in college tuition costs Predicting the decline in tuberculosis death rates Minimizing production costs Integration by parts Log formula for the inverse hyperbolic sine function Using the Integral Test Finding the perimeter of an ellipse Testing multivariable critical points in an exponential function Updated and new exercises, including: Using regression analysis to predict Federal minimum wage, median home and energy prices, and global warming More limits involving rational functions Interpreting derivatives from graphs Growth in the Gross National Product Vehicular stopping distance Spread of an oil spill in gulf waters Estimating concentration of a drug Considering endangered species Prescribing drug dosage Summing infinitely many areas Representing functions by a geometric series Unusual polar graphs Finding the distance between skew lines in space Finding mass and distances in our solar system   Pearson MyLab Mathematics not included. Students, if Pearson MyLab Mathematics is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. Pearson MyLab Mathematics should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information. Pearson MyLab Mathematics now has hundreds of additional assignable exercises, including 670 that address prerequisite skills, giving you the selection you need to create the right homework assignments and assessments. Web Online CopyThis text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors). Thomas’ Calculus, Thirteenth Edition, introduces readers to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded–always with the goal of developing technical competence while furthering readers’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's learners.