Calculus & Its Applications, Global Edition + MyLab Mathematics with Pearson eText (Package)

<ul> <li><strong>0. Functions</strong> </li> <li>0.1 Functions and Their Graphs </li> <li>0.2 Some Important Functions </li> <li>0.3 The Algebra of Functions </li> <li>0.4 Zeros of Functions - The Quadratic Formula and Factoring </li> <li>0.5 Exponents and Power Functions </li> <li>0.6 Functions and Graphs in Applications </li> <li><strong>1. The Derivative</strong> </li> <li>1.1 The Slope of a Straight Line </li> <li>1.2 The Slope of a Curve at a Point </li> <li>1.3 The Derivative and Limits </li> <li>1.4 Limits and the Derivative </li> <li>1.5 Differentiability and Continuity </li> <li>1.6 Some Rules for Differentiation </li> <li>1.7 More About Derivatives </li> <li>1.8 The Derivative as a Rate of Change </li> <li><strong>2. Applications of the Derivative</strong></li> <li>2.1 Describing Graphs of Functions </li> <li>2.2 The First and Second Derivative Rules </li> <li>2.3 The First and Section Derivative Tests and Curve Sketching </li> <li>2.4 Curve Sketching (Conclusion) </li> <li>2.5 Optimization Problems </li> <li>2.6 Further Optimization Problems </li> <li>2.7 Applications of Derivatives to Business and Economics </li> <li><strong>3. Techniques of Differentiation</strong> </li> <li>3.1 The Product and Quotient Rules </li> <li>3.2 The Chain Rule </li> <li>3.3 Implicit Differentiation and Related Rates </li> <li><strong>4. The Exponential and Natural Logarithm Functions</strong></li> <li>4.1 Exponential Functions </li> <li>4.2 The Exponential Function ex </li> <li>4.3 Differentiation of Exponential Functions </li> <li>4.4 The Natural Logarithm Function </li> <li>4.5 The Derivative of ln x 4.6 Properties of the Natural Logarithm Function </li> <li><strong>5. Applications of the Exponential and Natural Logarithm Functions</strong> </li> <li>5.1 Exponential Growth and Decay </li> <li>5.2 Compound Interest </li> <li>5.3. Applications of the Natural Logarithm Function to Economics </li> <li>5.4. Further Exponential Models </li> <li><strong>6. The Definite Integral</strong> </li> <li>6.1 Anti-differentiation </li> <li>6.2 The Definite Integral and Net Change of a Function </li> <li>6.3 The Definite Integral and Area Under a Graph </li> <li>6.4 Areas in the xy-Plane </li> <li>6.5 Applications of the Definite Integral </li> <li><strong>7. Functions of Several Variables</strong> </li> <li>7.1 Examples of Functions of Several Variables </li> <li>7.2 Partial Derivatives </li> <li>7.3 Maxima and Minima of Functions of Several Variables </li> <li>7.4 Lagrange Multipliers and Constrained Optimization </li> <li>7.5 The Method of Least Squares </li> <li>7.6 Double Integrals </li> <li><strong>8. The Trigonometric Functions</strong> </li> <li>8.1 Radian Measure of Angles </li> <li>8.2 The Sine and the Cosine </li> <li>8.3 Differentiation and Integration of sin t and cos t </li> <li>8.4 The Tangent and Other Trigonometric Functions </li> <li><strong>9. Techniques of Integration</strong> </li> <li>9.1 Integration by Substitution </li> <li>9.2 Integration by Parts </li> <li>9.3 Evaluation of Definite Integrals </li> <li>9.4 Approximation of Definite Integrals </li> <li>9.5 Some Applications of the Integral </li> <li>9.6 Improper Integrals </li> <li><strong>10. Differential Equations</strong> </li> <li>10.1 Solutions of Differential Equations </li> <li>10.2 Separation of Variables </li> <li>10.3 First-Order Linear Differential Equations </li> <li>10.4 Applications of First-Order Linear Differential Equations </li> <li>10.5 Graphing Solutions of Differential Equations </li> <li>10.6 Applications of Differential Equations </li> <li>10.7 Numerical Solution of Differential Equations </li> &lt; </ul>