University Calculus: Early Transcendentals, Global Edition + MyLab Math with Pearson eText

<p>1. Functions</p> <p>1.1 &nbsp;&nbsp; Functions and Their Graphs</p> <p>1.2 &nbsp;&nbsp; Combining Functions; Shifting and Scaling Graphs</p> <p>1.3 &nbsp;&nbsp; Trigonometric Functions</p> <p>1.4 &nbsp;&nbsp; Graphing with Software</p> <p>1.5 &nbsp;&nbsp; Exponential Functions</p> <p>1.6 &nbsp;&nbsp; Inverse Functions and Logarithms</p> <p>&nbsp;</p> <p>2. &nbsp;&nbsp; Limits and Continuity&nbsp;</p> <p>2.1 &nbsp;&nbsp; Rates of Change and Tangent Lines to Curves</p> <p>2.2 &nbsp;&nbsp; Limit of a Function and Limit Laws</p> <p>2.3 &nbsp;&nbsp; The Precise Definition of a Limit</p> <p>2.4 &nbsp;&nbsp; One-Sided Limits</p> <p>2.5 &nbsp;&nbsp; Continuity</p> <p>2.6 &nbsp;&nbsp; Limits Involving Infinity; Asymptotes of Graphs</p> <p>Questions to Guide Your Review</p> <p>Practice Exercises</p> <p>Additional and Advanced Exercises</p> <p>&nbsp;</p> <p>3. &nbsp;&nbsp; Derivatives</p> <p>3.1 &nbsp;&nbsp; Tangent Lines and the Derivative at a Point</p> <p>3.2 &nbsp;&nbsp; The Derivative as a Function</p> <p>3.3 &nbsp;&nbsp; Differentiation Rules</p> <p>3.4 &nbsp;&nbsp; The Derivative as a Rate of Change</p> <p>3.5 &nbsp;&nbsp; Derivatives of Trigonometric Functions</p> <p>3.6 &nbsp;&nbsp; The Chain Rule</p> <p>3.7 &nbsp;&nbsp; Implicit Differentiation</p> <p>3.8 &nbsp;&nbsp; Derivatives of Inverse Functions and Logarithms</p> <p>3.9 &nbsp;&nbsp; Inverse Trigonometric Functions</p> <p>3.10 Related Rates</p> <p>3.11 Linearization and Differentials</p> <p>Questions to Guide Your Review</p> <p>Practice Exercises</p> <p>Additional and Advanced Exercises</p> <p>&nbsp;</p> <p>4. &nbsp;&nbsp; Applications of Derivatives</p> <p>4.1 &nbsp;&nbsp; Extreme Values of Functions on Closed Intervals</p> <p>4.2 &nbsp;&nbsp; The Mean Value Theorem</p> <p>4.3 &nbsp;&nbsp; Monotonic Functions and the First Derivative Test</p> <p>4.4 &nbsp;&nbsp; Concavity and Curve Sketching</p> <p>4.5 &nbsp;&nbsp; Indeterminate Forms and L’Hôpital’s Rule</p> <p>4.6 &nbsp;&nbsp; Applied Optimization</p> <p>4.7 &nbsp;&nbsp; Newton’s Method</p> <p>4.8 &nbsp;&nbsp; Antiderivatives</p> <p>Questions to Guide Your Review</p> <p>Practice Exercises</p> <p>Additional and Advanced Exercises</p> <p>&nbsp;</p> <p>5. &nbsp;&nbsp; Integrals</p> <p>5.1 &nbsp;&nbsp; Area and Estimating with Finite Sums</p> <p>5.2 &nbsp;&nbsp; Sigma Notation and Limits of Finite Sums</p> <p>5.3 &nbsp;&nbsp; The Definite Integral</p> <p>5.4 &nbsp;&nbsp; The Fundamental Theorem of Calculus</p> <p>5.5 &nbsp;&nbsp; Indefinite Integrals and the Substitution Method</p> <p>5.6 &nbsp;&nbsp;Definite Integral Substitutions and the Area Between Curves</p> <p>Questions to Guide Your Review</p> <p>Practice Exercises</p> <p>Additional and Advanced Exercises</p> <p>&nbsp;</p> <p>6. &nbsp;&nbsp; Applications of Definite Integrals</p> <p>6.1 &nbsp;&nbsp; Volumes Using Cross-Sections</p> <p>6.2 &nbsp;&nbsp; Volumes Using Cylindrical Shells</p> <p>6.3 &nbsp;&nbsp; Arc Length</p> <p>6.4 &nbsp;&nbsp; Areas of Surfaces of Revolution</p> <p>6.5 &nbsp;&nbsp; Work</p> <p>6.6 &nbsp;&nbsp; Moments and Centers of Mass</p> <p>Questions to Guide Your Review</p> <p>Practice Exercises</p> <p>Additional and Advanced Exercises</p> <p>&nbsp;</p> <p>7. &nbsp;&nbsp; Integrals and Transcendental Functions</p> <p>7.1 &nbsp;&nbsp; The Logarithm Defined as an Integral</p> <p>7.2 &nbsp;&nbsp; Exponential Change and Separable Differential Equations</p> <p>7.3 &nbsp;&nbsp; Hyperbolic Functions</p> <p>Questions to Guide Your Review</p> <p>Practice Exercises</p> <p>Additional and Advanced Exercises</p> <p>&nbsp;</p> <p>8. &nbsp;&nbsp; Techniques of Integration &nbsp;</p> <p>8.1 &nbsp;&nbsp; Integration by Parts</p> <p>8.2 &nbsp;&nbsp; Trigonometric Integrals</p> <p>8.3 &nbsp;&nbsp; Trigonometric Substitutions</p> <p>8.4 &nbsp;&nbsp; Integration of Rational Functions by Partial Fractions</p>