### Available:*

Library | Call Number | Material Type | Home Location | Status |
---|---|---|---|---|

Central Library | QA303 .B2828 1999 | Adult Non-Fiction | Central Closed Stacks | Searching... |

### On Order

### Summary

### Summary

This text covers calculus with an emphasis on cross-discipline principles and practices. Designed to be both student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on concepts and ideas, followed immediately by the development of computational skills and problem-solving.* NEW - Contains over 250 numbered worked examples, many with lettered parts, significantly increasing the total number of worked examples. * Illustrates each concept with one or more examples and follows each example with a parallel or matched problem and answer, allowing immediate self-assessment and reinforcement. * NEW - Strengthens emphasis on exploration and discussion in all drill problems and application exercises. * NEW - Features optional examples and exercises illustrating the use of regression techniques to analyze real data, including both graphing calculator and spreadsheet output. * NEW - Contains more optional technology examples and exercises, especially those using real data. * NEW - Closes chapters with two group activities, one of the two involving technology. * NEW - R

### Table of Contents

(Each chapter concludes with Important Terms, Symbols, and Concepts; Review Exercise; and Group Activities.) |

Part One A Library of Elementary Functions |

Chapter 1 A Beginning Library of Elementary Functions |

1-1 Functions |

1-2 Elementary Functions: Graphs and Transformations |

1-3 Linear Functions and Straight Lines |

1-4 Quadratic Functions |

Group Activity 1 Introduction to Regression Analysis |

Group Activity 2 Mathematical Modeling in Business |

Chapter 2 Additional Elementary Functions |

2-1 Polynomial and Rational Functions |

2-2 Exponential Functions |

2-3 Logarithmic Functions |

Group Activity 1 Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions |

Group Activity 2 Comparing Regression Models |

Part Two Calculus |

Chapter 3 The Derivative |

3-1 Introduction to Limits |

3-2 Limits and Continuity |

3-3 The Derivative |

3-4 Derivative of Constants, Power Forms, and Sums |

3-5 Derivatives of Products and Quotients |

3-6 Chain Rule: Power Form |

3-7 Marginal Analysis in Business and Economics |

Group Activity 1 Minimal Average Cost |

Group Activity 2 Numerical Differentiation on a Graphing Utility |

Chapter 4 Graphing and Optimization |

4-1 First Derivative and Graphs |

4-2 Second Derivative and Graphs |

4-3 Curve Sketching Techniques; Unified and Extended |

4-4 Optimization; Absolute Maxima and Minima |

Group Activity 1 Maximizing Profit |

Group Activity 2 Minimizing Construction Costs |

Chapter 5 Additional Derivative Topics |

5-1 The Constant e and Continuous Compound Interest |

5-2 Derivatives of Logarithmic and Exponential Functions |

5-3 Chain Rule: General Form |

5-4 Implicit Differentiation |

5-5 Related Rates |

Group Activity 1 Elasticity of Demand |

Group Activity 2 Point of Diminishing Returns |

Chapter 6 Integration |

6-1 Antiderivatives and Indefinite Integrals |

6-2 Integration by Substitution |

6-3 Differential Equations; Growth and Decay |

6-4 The Definite Integral |

6-5 The Fundamental Theorem of Calculus |

Group Activity 1 Simpson's Rule |

Group Activity 2 Bell-Shaped Curves |

Chapter 7 Additional Integration Topics |

7-1 Area Between Curves |

7-2 Applications in Business and Economics |

7-3 Integration by Parts |

7-4 Integration Using Tables |

Group Activity 1 Analysis of Income Concentration from Raw Data |

Group Activity 2 Grain Exchange |

Chapter 8 Multivariable Calculus |

8-1 Functions of Several Variables |

8-2 Partial Derivatives |

8-3 Maxima and Minima |

8-4 Maxima and Minima Using Lagrange Multipliers |

8-5 Method of Least Squares |

8-6 Double Integrals Over Rectangular Regions |

Group Activity 1 City Planning |

Group Activity 2 Numerical Integration of Multivariable Functions |

Chapter 9 Trigonometric Functions |

9-1 Trigonometric Functions Review |

9-2 Derivatives of Trigonometric Functions |

9-3 Integrations of Trigonometric Functions |

Group Activity 1 Seasonal Business Cycles |

Group Activity 2 Heating Degree Days |

Appendix A Basic Algebra Review |

Appendix B Special Topics |

Appendix C Tables |