This book is ideal for one- or two-semester or two- orthree-quarter courses covering topics in college algebra, finite mathematics,and calculus for students in business, economics, and the life and socialsciences. Introductory Mathematical Analysis for Business, Economics, and the Life andSocial Sciences provides a mathematical foundation for students in avariety of fields and majors. The authors establish an emphasis on algebraiccalculations that sets this text apart from other introductory, appliedmathematics books. Because the process of calculating variables builds skillsin mathematical modeling, this emphasis paves the way for students to solvereal-world problems that use calculus. The book’s comprehensivestructure—covering college algebra in Chapters 0 through 4, finite mathematicsin Chapters 5 through 9, and calculus in Chapters 10 through 17—offersinstructors flexibility in how they use the material based on the coursethey’re teaching, the semester they’re at, or what the students’ backgroundallows and their needs dictate.
PART I Review of Algebra
- 1 Applications and More Algebra
- 2 Functions and Graphs
- 3 Lines, Parabolas, and Systems
- 4 Exponential and Logarithmic Functions
PART II FINITE MATHEMATICS
- 5 Mathematics of Finance
- 6 Matrix Algebra
- 7 Linear Programming
- 8 Introduction to Probability and Statistics
- 9 Additional Topics in Probability
PART III CALCULUS
- 10 Limits and Continuity
- 11 Differentiation
- 12 Additional Differentiation Topics
- 13 Curve Sketching
- 14 Integration
- 15 Applications of Integration
- 16 Continuous Random Variables
- 17 Multivariable Calculus
- Applications: An abundance and variety of applications for the intended audience appear throughout the book so that students see frequently how the mathematics they are learning can be used. These applications cover such diverse areas as business, economics, biology, medicine, sociology, psychology, ecology, statistics, earth science, and archaeology. Many of these applications are drawn from literature and are documented by references, sometimes from the Web.
- Now Work Problem N: Throughout the text we have retained the popular Now Work Problem N feature. The idea is that after a worked example, students are directed toan end of section problem (labeled with a colored exercise number) that reinforces theideas of the worked example. This gives students an opportunity to practice what theyhave just learned.
- Cautions: Cautionary warnings are presented in very much the same way an instructor would warn students in class of commonly-made errors. These appear in the margin, along with other explanatory notes and emphases.
- Definitions, key concepts, and important rules and formulas: These are clearly stated and displayed as a way to make the navigation of the book that much easier for the student. (See, for example, the Definition of Derivative in Section 11.1)