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Calculus for Business, Economics, Life Sciences and Social Sciences - ISBN10: 0132328186; ISBN13: 9780132328180

ISBN10: 0132328186
ISBN13: 9780132328180
Edition/Copyright: 11TH 08

Publisher: Prentice Hall, Inc.
Cover: Hardback
Year Published: 2008
Weight: 3.8lbs.
Used Condition: Good/Excellent Bookmark and Share

Calculus for Business, Economics, Life Sciences and Social Sciences

by Raymond Barnett, Michael Ziegler and Karl Byleen

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For a one-semester or one-quarter course covering calculus for students majoring in business, economics, social sciences, or life sciences.

This mid-level text covers calculus with an emphasis on cross-discipline principles and practices. Student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on developing concepts and ideas followed immediately by developing computational skills and problem solving.

FEATURES

  • Over 290 numbered worked examples, including many with lettered parts.
    • The examples are annotated and the problem-solving steps are clearly identified. This gives students extra assistance in solving the problem.
    • Think Boxes (dashed boxes) are used to enclose steps that are usually performed mentally (see section 1-1).
  • A “Matched Problem” follows each example.
    • This gives the student an opportunity to reinforce and test his/her understanding of the concept presented in the preceding example. Answers to these problems are located in the Answers Section, located at the end of the text.
  • Over 4,000 carefully selected and graded examples are divided into A, B, and C levels of difficulty.
    • The exercise sets contain application problems that are split into three different types: 1) Business and Economics; 2) Life Science; 3) Social Science. These different types cater to the diverse needs of the student.
  • Large variety of up-to-date applications use simplified versions of real models.
    • Illustrates the relevance of mathematics to the real world and gives students opportunities to create and interpret mathematical models.
  • Explore-Discuss boxes are integrated in every section.
    • Encourages students to think about a relationship or process before a result is stated, or investigate additional consequences of a development in the text, so that they can better participate in the learning process and discussion- both in and out of class.
  • Chapter Review exercises and answers are included, as well as suggested group activities and key terms.
  • Optional graphing utility examples and exercises are clearly identified by an icon.
    • Provides a deeper understanding of mathematical concepts and allows students to solve problems that cannot be solved by hand.
  • Algebra review appears in Appendix A.
  • Library of Elementary Functions provides optional material that can be covered in its entirety or referred to as needed.
    • Encourages students to view mathematical ideas and processes graphically, numerically, and algebraically.
  • Topic selection, coverage, and organization reflects the course outlines and catalogs of many major colleges and universities.
    • Takes into account the way the course is typically taught. Gives students the essential mathematical skills needed to effectively pursue courses of study in business and economics.
  • Optional regression analysis includes graphing calculator and spreadsheet output.
    • Illustrates one of the basic tools of mathematical modeling with optional examples and exercises, so that students can relate the text topics to the real world.

PART 1 A LIBRARY OF ELEMENTARY FUNCTIONS

1 Linear Equations and Graphs

1-1 Linear Equations and Inequalities
1-2 Graphs and Lines
1-3 Linear Regression
Chapter 1 Review
Review Exercise

2 Functions and Graphs

2-1 Functions
2-2 Elementary Functions: Graphs and Transformations
2-3 Quadratic Functions
2-4 Exponential Functions
2-5 Logarithmic Functions
Chapter 2 Review
Review Exercise

PART 2 CALCULUS

3 Limits and the Derivative

3-1 Introduction to Limits
3-2 Continuity
3-3 Infinite Limits and Limits at Infinity
3-4 The Derivative
3-5 Basic Differentiation Properties
3-6 Differentials
3-7 Marginal Analysis in Business and Economics
Chapter 3 Review
Review Exercise

4 Additional Derivative Topics

4-1 The Constant e and Continuous Compound Interest
4-2 Derivatives of Exponential and Logarithmic Functions
4-3 Derivatives of Products and Quotients
4-4 The Chain Rule
4-5 Implicit Differentiation
4-6 Related Rates
4-7 Elasticity of Demand
Chapter 4 Review
Review Exercise

5 Graphing and Optimization

5-1 First Derivative and Graphs
5-2 Second Derivative and Graphs
5-3 L’Hôpital’s Rule
5-4 Curve-Sketching Techniques
5-5 Absolute Maxima and Minima
5-6 Optimization
Chapter 5 Review
Review Exercise

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
Chapter 6 Review
Review Exercise

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
Chapter 7 Review
Review Exercise

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
8-7 Double Integrals over More General Regions
Chapter 8 Review
Review Exercise

9 Trigonometric Functions

9-1 Trigonometric Functions Review
9-2 Derivatives of Trigonometric Functions
9-3 Integration of Trigonometric Functions
Chapter 9 Review
Review Exercise

A Basic Algebra Review

Self-Test on Basic Algebra
A-1 Algebra and Real Numbers
A-2 Operations on Polynomials
A-3 Factoring Polynomials
A-4 Operations on Rational Expressions
A-5 Integer Exponents and Scientific Notation
A-6 Rational Exponents and Radicals
A-7 Quadratic Equations

B Special Topics

B-1 Sequences, Series, and Summation Notation
B-2 Arithmetic and Geometric Sequences
B-3 Binomial Theorem

C Tables

Table I Basic Geometric Formulas
Table II Integration Formulas

Answers
Index
Applications Index
A Library of Elementary Functions



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