MyLab Math with Pearson eText Access Code (24 Months) for Calculus

<div class="c-section-headers-number-list_container"> <h3>1. Functions</h3> <ul> <li>1.1 Review of Functions</li> <li>1.2 Representing Functions</li> <li>1.3 Inverse, Exponential, and Logarithmic Functions</li> <li>1.4 Trigonometric Functions and Their Inverses</li> <li>Review Exercises</li> </ul> <h3>2. Limits</h3> <ul> <li>2.1 The Idea of Limits</li> <li>2.2 Definitions of Limits</li> <li>2.3 Techniques for Computing Limits</li> <li>2.4 Infinite Limits</li> <li>2.5 Limits at Infinity</li> <li>2.6 Continuity</li> <li>2.7 Precise Definitions of Limits</li> <li>Review Exercises</li> </ul> <h3>3. Derivatives</h3> <ul> <li>3.1 Introducing the Derivative</li> <li>3.2 The Derivative as a Function</li> <li>3.3 Rules of Differentiation</li> <li>3.4 The Product and Quotient Rules</li> <li>3.5 Derivatives of Trigonometric Functions</li> <li>3.6 Derivatives as Rates of Change</li> <li>3.7 The Chain Rule</li> <li>3.8 Implicit Differentiation</li> <li>3.9 Derivatives of Logarithmic and Exponential Functions</li> <li>3.10 Derivatives of Inverse Trigonometric Functions</li> <li>3.11 Related Rates</li> <li>Review Exercises</li> </ul> <h3>4. Applications of the Derivative</h3> <ul> <li>4.1 Maxima and Minima</li> <li>4.2 Mean Value Theorem</li> <li>4.3 What Derivatives Tell Us</li> <li>4.4 Graphing Functions</li> <li>4.5 Optimization Problems</li> <li>4.6 Linear Approximation and Differentials</li> <li>4.7 L'Hôpital's Rule</li> <li>4.8 Newton's Method</li> <li>4.9 Antiderivatives</li> <li>Review Exercises</li> </ul> <h3>5. Integration</h3> <ul> <li>5.1 Approximating Areas under Curves</li> <li>5.2 Definite Integrals</li> <li>5.3 Fundamental Theorem of Calculus</li> <li>5.4 Working with Integrals</li> <li>5.5 Substitution Rule</li> <li>Review Exercises</li> </ul> <h3>6. Applications of Integration</h3> <ul> <li>6.1 Velocity and Net Change</li> <li>6.2 Regions Between Curves</li> <li>6.3 Volume by Slicing</li> <li>6.4 Volume by Shells</li> <li>6.5 Length of Curves</li> <li>6.6 Surface Area</li> <li>6.7 Physical Applications</li> <li>Review Exercises</li> </ul> <h3>7. Logarithmic, Exponential, and Hyperbolic Functions</h3> <ul> <li>7.1 Logarithmic and Exponential Functions Revisited</li> <li>7.2 Exponential Models</li> <li>7.3 Hyperbolic Functions</li> <li>Review Exercises</li> </ul> <h3>8. Integration Techniques</h3> <ul> <li>8.1 Basic Approaches</li> <li>8.2 Integration by Parts</li> <li>8.3 Trigonometric Integrals</li> <li>8.4 Trigonometric Substitutions</li> <li>8.5 Partial Fractions</li> <li>8.6 Integration Strategies</li> <li>8.7 Other Methods of Integration</li> <li>8.8 Numerical Integration</li> <li>8.9 Improper Integrals</li> <li>Review Exercises</li> </ul> <h3>9. Differential Equations</h3> <ul> <li>9.1 Basic Ideas</li> <li>9.2 Direction Fields and Euler's Method</li> <li>9.3 Separable Differential Equations</li> <li>9.4 Special First-Order Linear Differential Equations</li> <li>9.5 Modeling with Differential Equations</li> <li>Review Exercises</li> </ul> <h3>10. Sequences and Infinite Series</h3> <ul> <li>10.1 An Overview</li> <li>10.2 Sequences</li> <li>10.3 Infinite Series</li> <li>10.4 The Divergence and Integral Tests</li> <li>10.5 Comparison Tests</li> <li>10.6 Alternating Series</li> <li>10.7 The Ratio and Root Tests</li> <li>10.8 Choosing a Convergence Test</li> <li>Review Exercises</li> </ul> <h3>11. Power Series</h3> <ul> <li>11.1 Approximating Functions with Polynomials</li> <li>11.2 Properties of Power Series</li> <li>11.3 Taylor Series</li> <li>11.4 Working with Taylor Series</li> <li>Review Exercises</li> </ul> <h3>12. Parametric and Polar Curves</h3> <ul> <li>12.1 Parametric Equations</li> <li>12.2 Polar Coordinates</li> <li>12.3 Calculus in Polar Coordinates</li> <li>12.4 Conic Sections</li> <li>Review Exercises</li> </ul> <h3>13. Vectors and the Geometry of Space</h3> <ul> <li>13.1 Vectors in the Plane</li> <li>13.2 Vectors in Three Dimensions</li> <li>13.3 Dot Products</li> <li>13.4 Cross Products</li> <li>13.5 Lines and Planes in Space</li> <li>13.6 Cylinders and Quadric Surfaces</li> <li>Review Exercises</li> </ul> <h3>14. Vector-Valued Functions</h3> <ul> <li>14.1 Vector-Valued Functions</li> <li>14.2 Calculus of Vector-Valued Functions</li> <li>14.3 Motion in Space</li> <li>14.4 Length of Curves</li> <li>14.5 Curvature and Normal Vectors</li> <li>Review Exercises</li> </ul> <h3>15. Functions of Several Variables</h3> <ul> <li>15.1 Graphs and Level Curves</li> <li>15.2 Limits and Continuity</li> <li>15.3 Partial Derivatives</li> <li>15.4 The Chain Rule</li> <li>15.5 Directional Derivatives and the Gradient</li> <li>15.6 Tangent Planes and Linear Approximation</li> <li>15.7 Maximum/Minimum Problems</li> <li>15.8 Lagrange Multipliers</li> <li>Review Exercises</li> </ul> <h3>16. Multiple Integration</h3> <ul> <li>16.1 Double Integrals over Rectangular Regions</li> <li>16.2 Double Integrals over General Regions</li> <li>16.3 Double Integrals in Polar Coordinates</li> <li>16.4 Triple Integrals</li> <li>16.5 Triple Integrals in Cylindrical and Spherical Coordinates</li> <li>16.6 Integrals for Mass Calculations</li> <li>16.7 Change of Variables in Multiple Integrals</li> <li>Review Exercises</li> </ul> <h3>17. Vector Calculus</h3> <ul> <li>17.1 Vector Fields</li> <li>17.2 Line Integrals</li> <li>17.3 Conservative Vector Fields</li> <li>17.4 Green's Theorem</li> <li>17.5 Divergence and Curl</li> <li>17.6 Surface Integrals</li> <li>17.7 Stokes' Theorem</li> <li>17.8 Divergence Theorem</li> <li>Review Exercises</li> </ul> <h3>D2 Second-Order Differential Equations ONLINE</h3> <ul> <li>D2.1 Basic Ideas</li> <li>D2.2 Linear Homogeneous Equations</li> <li>D2.3 Linear Nonhomogeneous Equations</li> <li>D2.4 Applications</li> <li>D2.5 Complex Forcing Functions</li> <li>Review Exercises</li> </ul> <h3>Appendices</h3> <ol type="A"> <li>Proofs of Selected Theorems</li> <li>Algebra Review ONLINE</li> <li>Complex Numbers ONLINE</li> </ol> <h4 class="h5">Answers</h4> <h4 class="h5">Index</h4> <h4 class="h5">Table of Integrals</h4> </div>