ISBN13: 9780131432093
Edition/Copyright: 10TH 05
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Cover: Hardback
Year Published: 2005
Weight: 5.1lbs.
Used Condition: Good/Excellent
College Mathematics for Business, Economics, Life Science, and Social Science
by Raymond Barnett, Michael Ziegler and Karl Byleen
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For freshman/sophomore, 2 semester/2-3 quarter courses covering finite mathematics and calculus for students
in business, economics, social sciences, or life sciences departments.
This mid-level text covers mathematics of finance, linear algebra, linear programming, probability, and descriptive
statistics, 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 400 numbered worked examples, many with lettered parts.
- Enhances presentation of examples for better student comprehension.
- 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).
- Matched Problems--Each example is followed by a "Matched Problem." 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 5,600 carefully selected and graded examples--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--Uses 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--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.
- Promotes critical thinking.
- Chapter Review exercises and answers. Also includes suggested group activities and key terms.
- Emphasis on the construction of mathematical models--Especially in linear systems and linear programming.
- Gives students a thorough introduction to this very important topic.
- Optional graphing utility examples and exercises--Clearly identified by an icon.
- Provides a deeper understanding of mathematical concepts and allows students to solve problems that cannot be solved by hand.
- Library of Elementary Functions--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.
- 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.
- Topic selection, coverage, and organization--From 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.
PART ONE. A LIBRARY OF ELEMENTARY FUNCTIONS.
CHAPTER 1. A Beginning Library of Elementary Functions.
1-1 Functions.
1-2 Elementary Functions: Graphs and Transformations.
1-3 Linear Functions and Straight Lines.
1-4 Quadratic Functions.
Group Activity 1: Introduction to Regression Analysis.
Group Activity 2: Mathematical Modeling in Business.
CHAPTER 2. Additional Elementary Functions.
2-1 Polynomial and Rational Functions.
2-2 Exponential Functions.
2-3 Logarithmic Functions.
Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions.
Group Activity 2: Comparing Regression Models.
PART TWO. FINITE MATHEMATICS.
CHAPTER 3. Mathematics of Finance.
3-1 Simple Interest.
3-2 Compound Interest.
3-3 Future Value of an Annuity; Sinking Funds.
3-4 Present Value of an Annuity; Amortization.
Group Activity 1: Reducing Interest Payments on a Home Mortgage.
Group Activity 2: Yield to Maturity and Internal Rate of Return.
CHAPTER 4. Systems of Linear Equations; Matrices.
4-1 Review: Systems of Linear Equations in Two Variables.
4-2 Systems of Linear Equations and Augmented Matrices.
4-3 Gauss-Jordan Elimination.
4-4 Matrices: Basic Operations.
4-5 Inverse of a Square Matrix.
4-6 Matrix Equations and Systems of Linear Equations.
4-7 Leontief Input-Output Analysis.
Group Activity 1: Using Matrices to Find Cost, Revenue, and Profit.
Group Activity 2: Direct and Indirect Operating Costs.
CHAPTER 5. Linear Inequalities and Linear Programming.
5-1 Systems of Linear Inequalities in Two Variables.
5-2 Linear Programming in Two Dimensions--A Geometric Approach.
5-3 A Geometric Introduction to the Simplex Method.
5-4 The Simplex Method: Maximization with Problem Constraints of the Form .
5-5 The Dual; Minimization with Problem Constraints of the Form .
5-6 Maximization and Minimization with Mixed Problem Constraints.
Group Activity 1: The Two-Phase Method (An Alternative to the Big M Method).
Group Activity 2: Production Scheduling.
CHAPTER 6. Logic, Sets, and Counting.
6-1 Logic.
6-2 Sets.
6-3 Basic Counting Principles.
6-4 Permutations and Combinations.
Group Activity 1: Combinations with Repetition Allowed.
Group Activity 2: Subset Lattices of Finite Sets.
CHAPTER 7. Probability.
7-1 Sample Spaces, Events, and Probability.
7-2 Union, Intersection, and Complement of Events; Odds.
7-3 Conditional Probability, Intersection, and Independence.
7-4 Bayes' Formula.
7-5 Random Variable, Probability Distribution, and Expected Value.
Group Activity 1: Car and Crying Towels.
Group Activity 2: Simulation--A Draft Lottery for Professional Sports.
CHAPTER 8. Markov Chains.
8-1 Properties of Markov Chains.
8-2 Regular Markov Chains.
8-3 Absorbing Markov Chains.
Group Activity 1: Social Mobility.
Group Activity 2: Gambler's Ruin.
PART THREE. CALCULUS.
CHAPTER 9. The Derivative.
9-1 Introduction to Limits.
9-2 Limits and Continuity.
9-3 The Derivative.
9-4 Derivative of Constants, Power Forms, and Sums.
9-5 Derivatives of Products and Quotients.
9-6 Chain Rule: Power Form.
9-7 Marginal Analysis in Business and Economics.
Group Activity 1: Minimal Average Cost.
Group Activity 2: Numerical Differentiation on a Graphing Utility.
CHAPTER 10. Graphing and Optimization.
10-1 First Derivative and Graphs.
10-2 Second Derivative and Graphs.
10-3 Curve Sketching Techniques; Unified and Extended.
10-4 Optimization; Absolute Maxima and Minima.
Group Activity 1: Maximizing Profit.
Group Activity 2: Minimizing Construction Costs.
CHAPTER 11. Additional Derivative Topics.
11-1 The Constant e and Continuous Compound Interest.
11-2 Derivatives of Logarithmic and Exponential Functions.
11-3 Chain Rule: General Form.
11-4 Implicit Differentiation.
11-5 Related Rates.
Group Activity 1: Elasticity of Demand.
Group Activity 2: Point of Diminishing Returns.
CHAPTER 12. Integration.
12-1 Antiderivatives and Indefinite Integrals.
12-2 Integration by Substitution.
12-3 Differential Equations; Growth and Decay.
12-4 The Definite Integral.
12-5 The Fundamental Theorem of Calculus.
Group Activity 1: Simpson's Rule.
Group Activity 2: Bell-Shaped Curves.
CHAPTER 13. Additional Integration Topics.
13-1 Area Between Curves.
13-2 Applications in Business and Economics.
13-3 Integration by Parts.
13-4 Integration Using Tables.
Group Activity 1: Analysis of Income Concentration from Raw Data.
Group Activity 2: Grain Exchange.
CHAPTER 14. Multivariable Calculus.
14-1 Functions of Several Variables.
14-2 Partial Derivatives.
14-3 Maxima and Minima.
14-4 Maxima and Minima Using Lagrange Multipliers.
14-5 Method of Least Squares.
14-6 Double Integrals Over Rectangular Regions.
Group Activity 1: City Planning.
Group Activity 2: Numerical Integration of Multivariable Functions.
APPENDIX A. Basic Algebra Review.
APPENDIX B. Special Topics.
B-1 Sequences, Series, and Summation Notation.
APPENDIX C. Tables.
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