College Mathematics for Business, Economics, Life Sciences and Social Sciences: Pearson New International Edition
Pearson Education Limited (Verlag)
978-1-292-02182-9 (ISBN)
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This accessible text is designed to help students help themselves excel in the course. The content is organized into three parts: (1) A Library of Elementary Functions (Chapters 1-2), (2) Finite Mathematics (Chapters 3-9), and (3) Calculus (Chapters 10-15). The book's overall approach, refined by the authors' experience with large sections of college freshmen, addresses the challenges of teaching and learning when your students' prerequisite knowledge varies greatly. Student-friendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today's students and instructors. The MyMathLab course for the text features thousands of homework exercises plus instructional videos for nearly every example in the book.
Part One: A Library of Elementary Functions
Chapter 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
Chapter 2: Functions and Graphs
2-1 Functions
2-2 Elementary Functions: Graphs and Transformations
2-3 Quadratic Functions
2-4 Polynomial and Rational Functions
2-5 Exponential Functions
2-6 Logarithmic Functions
Chapter 2 Review
Review Exercise
Part Two: Finite Mathematics
Chapter 3: Mathematics of Finance
3-1 Simple Interest
3-2 Compound and Continuous Compound Interest
3-3 Future Value of an Annuity; Sinking Funds
3-4 Present Value of an Annuity; Amortization
Chapter 3 Review
Review Exercise
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
Chapter 4 Review
Review Exercise
Chapter 5: Linear Inequalities and Linear Programming
5-1 Inequalities in Two Variables
5-2 Systems of Linear Inequalities in Two Variables
5-3 Linear Programming in Two Dimensions: A Geometric Approach
Chapter 5 Review
Review Exercise
Chapter 6: Linear Programming: Simplex Method
6-1 A Geometric Introduction to the Simplex Method
6-2 The Simplex Method: Maximization with Problem Constraints of the Form =
6-3 The Dual; Minimization with Problem Constraints of the form =
6-4 Maximization and Minimization with Mixed Problem Constraints
Chapter 6 Review
Review Exercise
Chapter 7: Logic, Sets, and Counting
7-1 Logic
7-2 Sets
7-3 Basic Counting Principles
7-4 Permutations and Combinations
Chapter 7 Review
Review Exercise
Chapter 8: Probability
8-1 Sample Spaces, Events, and Probability
8-2 Union, Intersection, and Complement of Events; Odds
8-3 Conditional Probability, Intersection, and Independence
8-4 Bayes' Formula
8-5 Random Variables, Probability Distribution, and Expected Value
Chapter 8 Review
Review Exercise
Chapter 9: Markov Chains
9-1 Properties of Markov Chains
9-2 Regular Markov Chains
9-3 Absorbing Markov Chains
Chapter 9 Review
Review Exercise
Part Three: Calculus
Chapter 10: Limits and the Derivative
10-1 Introduction to Limits
10-2 Infinite Limits and Limits at Infinity
10-3 Continuity
10-4 The Derivative
10-5 Basic Differentiation Properties
10-6 Differentials
10-7 Marginal Analysis in Business and Economics
Chapter 10 Review
Review Exercise
Chapter 11: Additional Derivative Topics
11-1 The Constant e and Continuous Compound Interest
11-2 Derivatives of Logarithmic and Exponential Functions
11-3 Derivatives of Products and Quotients
11-4 The Chain Rule
11-4 Implicit Differentiation
11-5 Related Rates
11-7 Elasticity of Demand
Chapter 11 Review
Review Exercise
Chapter 12: Graphing and Optimization
12-1 First Derivative and Graphs
12-2 Second Derivative and Graphs
12-3 L'Hopitals's Rule
12-4 Curve Sketching Techniques
12-5 Absolute Maxima and Minima
12-6 Optimization
Chapter 12 Review
Review Exercise
Chapter 13: Integration
13-1 Antiderivatives and Indefinite Integrals
13-2 Integration by Substitution
13-3 Differential Equations; Growth and Decay
13-4 The Definite Integral
13-5 The Fundamental Theorem of Calculus
Chapter 13 Review
Review Exercise
Chapter 14: Additional Integration Topics
14-1 Area Between Curves
14-2 Applications in Business and Economics
14-3 Integration by Parts
14-4 Integration Using Tables
Chapter 14 Review
Review Exercise
Appendixes
Appendix 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
Appendix B: Special Topics
B-1 Sequences, Series, and Summation Notation
B-2 Arithmetic and Geometric Sequences
B-3 Binomial Theorem
Appendix C: Tables
Table I Area Under the Standard Normal Curve
Table II Basic Geometric Formulas
Answers
Index
Applications Index
A Library of Elementary Functions
| Erscheint lt. Verlag | 7.8.2013 |
|---|---|
| Verlagsort | Harlow |
| Sprache | englisch |
| Maße | 215 x 272 mm |
| Gewicht | 1996 g |
| Themenwelt | Schulbuch / Wörterbuch |
| Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
| ISBN-10 | 1-292-02182-9 / 1292021829 |
| ISBN-13 | 978-1-292-02182-9 / 9781292021829 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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