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Edition: 08

Copyright: 2008

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

Copyright: 2008

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

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Geared toward business and social science majors, this text equips students with the analytical tools and technological skills they need to be successful in the workplace. Uncomplicated language and a straightforward writing style promote conceptual understanding, and the incorporation of real-life applications, examples, and data helps engage students--even those with minimal interest in mathematics.

For instructors who want to make mathematics meaningful to their students, *Brief Applied Calculus* teaches rigorous concepts in an accessible way, without cutting corners; additionally, streamlined content allows instructors to cover the text in its entirety and maintains student interest.

*Make It Real*projects ask students to collect and analyze data that relates to their interests, studies, or livelihood. Students are able to better understand mathematical concepts when they can connect them to their own lives.*Technology Tips*throughout the text help students master techniques on the graphing calculator, such as graphing functions, solving equations, and finding the value of a function. These detailed tips describe individual keystrokes and often show step-by-step calculator screenshots.*Examples, Exercises,*and*Applications*use real-life data and involve subjects of interest to students majoring in business and social sciences. Using real-world data on topics such as Starbucks, CDs, student loans, and Wal-Mart, the exercises bring a current and immediate motivation for learning mathematical concepts.- Eduspace (powered by Blackboard), Houghton Mifflin's online learning tool, provides students with easy online access to homework, tutorials, multimedia, and testing materials that correspond to the text. This content is paired with the recognized course management tools of Blackboard. Instructors can use Eduspace to teach all or part of a course online.
- In the front and back endpapers of the text, an Index of Applications and an Index of Businesses, Products, and Associations allow instructors to easily find problems of particular interest to their students.

Note: Each chapter concludes with Review Exercises and a *Make It Real* Project.

1.1 Functions

1.2 Linear Functions

1.3 Linear Models

2.1 Quadratic Function Models

2.2 Higher-Order Polynomial Function Models

2.3 Exponential Function Models

2.4 Logarithmic Function Models

2.5 Choosing a Mathematical Model

3.1 Average Rate of Change

3.2 Limits and Instantaneous Rates of Change

3.3 The Derivative as a Slope: Graphical Method

3.4 The Derivative as a Function: Algebraic Method

3.5 Interpreting the Derivative

4.1 Basic Derivative Rules

4.2 The Product and Quotient Rules

4.3 The Chain Rule

4.4 Exponential and Logarithmic Rules

4.5 Implicit Differentiation

5.1 Maxima and Minima

5.2 Applications of Maxima and Minima

5.3 Concavity and the Second Derivative

5.4 Related Rates

6.1 Indefinite Integrals

6.2 Integration by Substitution

6.3 Using Sums to Approximate Area

6.4 The Definite Integral

6.5 The Fundamental Theorem of Calculus

7.1 Integration by Parts

7.2 Area Between Two Curves

7.3 Differential Equations and Applications

7.4 Differential Equations: Limited Growth and Logistic Models

8.1 Multivariable Functions

8.2 Partial Derivatives

8.3 Multivariable Maxima and Minima

8.4 Constrained Maxima and Minima and Applications

Answers to Odd-Numbered Exercises

Index

Summary

Geared toward business and social science majors, this text equips students with the analytical tools and technological skills they need to be successful in the workplace. Uncomplicated language and a straightforward writing style promote conceptual understanding, and the incorporation of real-life applications, examples, and data helps engage students--even those with minimal interest in mathematics.

For instructors who want to make mathematics meaningful to their students, *Brief Applied Calculus* teaches rigorous concepts in an accessible way, without cutting corners; additionally, streamlined content allows instructors to cover the text in its entirety and maintains student interest.

*Make It Real*projects ask students to collect and analyze data that relates to their interests, studies, or livelihood. Students are able to better understand mathematical concepts when they can connect them to their own lives.*Technology Tips*throughout the text help students master techniques on the graphing calculator, such as graphing functions, solving equations, and finding the value of a function. These detailed tips describe individual keystrokes and often show step-by-step calculator screenshots.*Examples, Exercises,*and*Applications*use real-life data and involve subjects of interest to students majoring in business and social sciences. Using real-world data on topics such as Starbucks, CDs, student loans, and Wal-Mart, the exercises bring a current and immediate motivation for learning mathematical concepts.- Eduspace (powered by Blackboard), Houghton Mifflin's online learning tool, provides students with easy online access to homework, tutorials, multimedia, and testing materials that correspond to the text. This content is paired with the recognized course management tools of Blackboard. Instructors can use Eduspace to teach all or part of a course online.
- In the front and back endpapers of the text, an Index of Applications and an Index of Businesses, Products, and Associations allow instructors to easily find problems of particular interest to their students.

Table of Contents
**1. Functions and Linear Models** **2. Nonlinear Models** **3. The Derivative** **4. Differentiation Techniques** **5. Derivative Applications** **6. The Integral** **7. Advanced Integration Techniques and Applications** **8. Multivariable Functions and Partial Derivatives**

Note: Each chapter concludes with Review Exercises and a *Make It Real* Project.

1.1 Functions

1.2 Linear Functions

1.3 Linear Models

2.1 Quadratic Function Models

2.2 Higher-Order Polynomial Function Models

2.3 Exponential Function Models

2.4 Logarithmic Function Models

2.5 Choosing a Mathematical Model

3.1 Average Rate of Change

3.2 Limits and Instantaneous Rates of Change

3.3 The Derivative as a Slope: Graphical Method

3.4 The Derivative as a Function: Algebraic Method

3.5 Interpreting the Derivative

4.1 Basic Derivative Rules

4.2 The Product and Quotient Rules

4.3 The Chain Rule

4.4 Exponential and Logarithmic Rules

4.5 Implicit Differentiation

5.1 Maxima and Minima

5.2 Applications of Maxima and Minima

5.3 Concavity and the Second Derivative

5.4 Related Rates

6.1 Indefinite Integrals

6.2 Integration by Substitution

6.3 Using Sums to Approximate Area

6.4 The Definite Integral

6.5 The Fundamental Theorem of Calculus

7.1 Integration by Parts

7.2 Area Between Two Curves

7.3 Differential Equations and Applications

7.4 Differential Equations: Limited Growth and Logistic Models

8.1 Multivariable Functions

8.2 Partial Derivatives

8.3 Multivariable Maxima and Minima

8.4 Constrained Maxima and Minima and Applications

Answers to Odd-Numbered Exercises

Index

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

Published: 2008

International: No

Geared toward business and social science majors, this text equips students with the analytical tools and technological skills they need to be successful in the workplace. Uncomplicated language and a straightforward writing style promote conceptual understanding, and the incorporation of real-life applications, examples, and data helps engage students--even those with minimal interest in mathematics.

For instructors who want to make mathematics meaningful to their students, *Brief Applied Calculus* teaches rigorous concepts in an accessible way, without cutting corners; additionally, streamlined content allows instructors to cover the text in its entirety and maintains student interest.

*Make It Real*projects ask students to collect and analyze data that relates to their interests, studies, or livelihood. Students are able to better understand mathematical concepts when they can connect them to their own lives.*Technology Tips*throughout the text help students master techniques on the graphing calculator, such as graphing functions, solving equations, and finding the value of a function. These detailed tips describe individual keystrokes and often show step-by-step calculator screenshots.*Examples, Exercises,*and*Applications*use real-life data and involve subjects of interest to students majoring in business and social sciences. Using real-world data on topics such as Starbucks, CDs, student loans, and Wal-Mart, the exercises bring a current and immediate motivation for learning mathematical concepts.- Eduspace (powered by Blackboard), Houghton Mifflin's online learning tool, provides students with easy online access to homework, tutorials, multimedia, and testing materials that correspond to the text. This content is paired with the recognized course management tools of Blackboard. Instructors can use Eduspace to teach all or part of a course online.
- In the front and back endpapers of the text, an Index of Applications and an Index of Businesses, Products, and Associations allow instructors to easily find problems of particular interest to their students.

Note: Each chapter concludes with Review Exercises and a *Make It Real* Project.

1.1 Functions

1.2 Linear Functions

1.3 Linear Models

2.1 Quadratic Function Models

2.2 Higher-Order Polynomial Function Models

2.3 Exponential Function Models

2.4 Logarithmic Function Models

2.5 Choosing a Mathematical Model

3.1 Average Rate of Change

3.2 Limits and Instantaneous Rates of Change

3.3 The Derivative as a Slope: Graphical Method

3.4 The Derivative as a Function: Algebraic Method

3.5 Interpreting the Derivative

4.1 Basic Derivative Rules

4.2 The Product and Quotient Rules

4.3 The Chain Rule

4.4 Exponential and Logarithmic Rules

4.5 Implicit Differentiation

5.1 Maxima and Minima

5.2 Applications of Maxima and Minima

5.3 Concavity and the Second Derivative

5.4 Related Rates

6.1 Indefinite Integrals

6.2 Integration by Substitution

6.3 Using Sums to Approximate Area

6.4 The Definite Integral

6.5 The Fundamental Theorem of Calculus

7.1 Integration by Parts

7.2 Area Between Two Curves

7.3 Differential Equations and Applications

7.4 Differential Equations: Limited Growth and Logistic Models

8.1 Multivariable Functions

8.2 Partial Derivatives

8.3 Multivariable Maxima and Minima

8.4 Constrained Maxima and Minima and Applications

Answers to Odd-Numbered Exercises

Index