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Don't go to class without it! Utilizing lively, interactive software, INTERACTIVE CALCULUS WITH APPLICATIONS with accompanying CD-ROM demonstrates the relevance of applied calculus to your own life. This innovative workbook/CD-ROM package enables you to actively participate in the learning process and provides you with the tools you need to succeed. The workbook and software tools were designed to work together and each lab guides you in their discovery of concepts and explorations. The workbook supplies explanations, suggestions, and questions whereas the CD-ROM contains interactive tools that illustrate the basic concepts of calculus and some of its most useful applications.
0. Introduction to Graphing. 1. Asymptotes. 2. Families of Functions (Similar Shapes). 3. From Data to Models. 4. Compound Interest and Introduction. 5. Tangents and Slopes (Roller Coasters and Hills). 6. The Derivative. 7. Inverse Functions and Their Derivatives. 8. Concavity. 9. Optimizing Costs. 10. Optimizing Revenue and Profits (Including Elasticity of Demand). 11. Taxes and the Optimization of Profit. 12. Optimizing Examples. 13. Inventory Costs. 14. Accumulation and Integration. 15. The Definite Integral. 16. Numerical Integration and Riemann Sums (A Practical Tool). 17. Consumer and Producer Surplus. 18. Gini Index. 19. Partial Derivatives. 20. Level Curves and Constraints. 21. Curve Fitting - The Least Squares Regression Model. 22. Series and Polynomial Approximations of Functions. 23. Differential Equations. 24. Supply and Demand Dynamics.