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