Description
Goldstein's Brief Calculus and Its Applications, Twelfth Edition is a comprehensive print and online program for students majoring in business, economics, life science, or social sciences. Without sacrificing mathematical integrity, the book clearly presents the concepts with a large quantity of exceptional, in-depth exercises. The authors' proven formula–pairing substantial amounts of graphical analysis and informal geometric proofs with an abundance of exercises–has proven to be tremendously successful with both students and instructors. The textbook is supported by a wide array of supplements as well as MyMathLab® and MathXL®, the most widely adopted and acclaimed online homework and assessment system on the market.
Features
Time-tested exercise sets cover a diverse range of topics and ensure that students can practice and apply the concepts. Each set has been carefully designed and is sorted by level of difficulty, allowing instructors to choose the most appropriate exercises for their students. Each section also has technology exercises, encouraging students to become familiar with using technology.
Applications contain up-to-date and realistic data to illustrate the relevance of the mathematical concepts. Topics include health expenditures, the federal deficit, mortgages, debt per capita, the effects of mad cow disease on beef exports, and price of gasoline.
Examples throughout the text help students learn the concepts and skills. Many examples use real data to show students how to apply the concepts.
Practice Problems at the end of each section target the concepts that can cause confusion for students. Complete solutions are provided.
“Warning!” notes provide tips on common pitfalls and mistakes and appear at relevant times throughout the text.
Extensive TI Calculator help includes easy-to-understand instructions for using the popular graphing calculators.
New to This Edition
More than 200 new and updated exercises add to this book's already wide variety. These are designed to both aid students with limited math backgrounds and challenge more advanced students.
Incorporating Technology features at the end of most sections include useful information about the use of graphing calculators. Additional support material can be downloaded from this book's Companion Website. Content Updates
The revised presentation of crucial topics makes this book easier to use for teaching and learning. Highlights include:
Coverage of the derivative is enhanced through a reorganization of Sections 1.3, The Derivative, and 1.4, Limits and the Derivative. Section 1.3 presents the derivative in an intuitive way, before the expanded presentation of limits that appears in Section 1.4, which offers the instructor the option of spending less time on limits and therefore more time on applications.
Table of Contents
0. Functions
1. The Derivative
2. Applications of the Derivative
3. Techniques of Differentiation
4. Logarithm Functions
5. Applications of the Exponential and Natural Logarithm Functions
6. The Definite Integral
7. Functions of Several Variables
8. The Trigonometric Functions
9. Techniques of Integration