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For three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science   Thomas' Calculus helps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalised concepts. In the 14th SI Edition, new co-author Christopher Heil (Georgia Institute of Technology) partners with author Joel Hass to preserve what is best about Thomas' time-tested text while reconsidering every word and every piece of art with today's students in mind. The result is a text that goes beyond memorising formulas and routine procedures to help students generalise key concepts and develop deeper understanding.  The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Thomas' Calculus, in SI Units

• Title Page


• Copyright Page


• Contents


• Preface


• 1 Functions


• 1.1 Functions and Their Graphs


• 1.2 Combining Functions; Shifting and Scaling Graphs


• 1.3 Trigonometric Functions


• 1.4 Graphing with Software


• Questions to Guide Your Review


• Practice Exercises


• Additional and Advanced Exercises


• Technology Application Projects


• 2 Limits and Continuity


• 2.1 Rates of Change and Tangent Lines to Curves


• 2.2 Limit of a Function and Limit Laws


• 2.3 The Precise Definition of a Limit


• 2.4 One-Sided Limits


• 2.5 Continuity


• 2.6 Limits Involving Infinity; Asymptotes of Graphs


• Questions to Guide Your Review


• Practice Exercises


• Additional and Advanced Exercises


• Technology Application Projects


• 3 Derivatives


• 3.1 Tangent Lines and the Derivative at a Point


• 3.2 The Derivative as a Function


• 3.3 Differentiation Rules


• 3.4 The Derivative as a Rate of Change


• 3.5 Derivatives of Trigonometric Functions


• 3.6 The Chain Rule


• 3.7 Implicit Differentiation


• 3.8 Related Rates


• 3.9 Linearization and Differentials


• Questions to Guide Your Review


• Practice Exercises


• Additional and Advanced Exercises


• Technology Application Projects


• 4 Applications of Derivatives


• 4.1 Extreme Values of Functions on Closed Intervals


• 4.2 The Mean Value Theorem


• 4.3 Monotonic Functions and the First Derivative Test


• 4.4 Concavity and Curve Sketching


• 4.5 Applied Optimization


• 4.6 Newton?s Method


• 4.7 Antiderivatives


• Questions to Guide Your Review


• Practice Exercises