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Applied Calculus, Brief

Applied Calculus, Brief - 08 edition

ISBN13: 978-0618611058

Cover of Applied Calculus, Brief 08 (ISBN 978-0618611058)
ISBN13: 978-0618611058
ISBN10: 0618611053
Cover type: Hardback
Edition/Copyright: 08
Publisher: Houghton Mifflin Harcourt
Published: 2008
International: No

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Applied Calculus, Brief - 08 edition

ISBN13: 978-0618611058

Frank C. Wilson

ISBN13: 978-0618611058
ISBN10: 0618611053
Cover type: Hardback
Edition/Copyright: 08
Publisher: Houghton Mifflin Harcourt

Published: 2008
International: No
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

Note: Each chapter concludes with Review Exercises and a Make It Real Project.
1. Functions and Linear Models
1.1 Functions
1.2 Linear Functions
1.3 Linear Models
2. Nonlinear 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. The Derivative
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. Differentiation Techniques
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. Derivative Applications
5.1 Maxima and Minima
5.2 Applications of Maxima and Minima
5.3 Concavity and the Second Derivative
5.4 Related Rates
6. The Integral
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. Advanced Integration Techniques and Applications
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. Multivariable Functions and Partial Derivatives
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
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