College Mathematics for Business, Economics, Life Sciences, and Social Sciences, 14th edition
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Overview
College Mathematics for Business, Economics, Life Sciences, and Social Sciences offers you more builtin guidance than any other text on the subject. Its coverage of the construction of mathematical models helps you develop critical tools for solving application problems. Technology coverage is optional, but discussions on using graphing calculators and spreadsheets are included where appropriate.
The 14th Edition features a brandnew, fullcolor redesign and updated layout to help you navigate more easily as you put in the work to learn the math. Throughout, data is updated in examples and exercises. New features include Reminder margin notes; all graphing calculator screens are updated to the TI84 Plus CD; and much more.
Published by Pearson (August 1st 2021)  Copyright © 2019
ISBN13: 9780137553341
Subject: Finite Math & Applied Calculus
Category: Finite Math & Applied Calculus (Combined)
Overview
I. 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 Summary and Review
 Review Exercises
 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 Summary and Review
 Review Exercises
II. Finite Mathematics
 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 Summary and Review
 Review Exercises
 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 Summary and Review
 Review Exercises
 5. Linear Inequalities and Linear Programming
 5.1 Linear 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 Summary and Review
 Review Exercises
 6. Linear Programming: The Simplex Method
 6.1 The Table Method: An Introduction to the Simplex Method
 6.2 The Simplex Method: Maximization with Problem Constraints of the Form ≤
 6.3 The Dual Problem: Minimization with Problem Constraints of the Form ≥
 6.4 Maximization and Minimization with Mixed Problem Constraints
 Chapter 6 Summary and Review
 Review Exercises
 7. Logic, Sets, and Counting
 7.1 Logic
 7.2 Sets
 7.3 Basic Counting Principles
 7.4 Permutations and Combinations
 Chapter 7 Summary and Review
 Review Exercises
 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 Variable, Probability Distribution, and Expected Value
 Chapter 8 Summary and Review
 Review Exercises
III. Calculus
 9. Limits and the Derivative
 9.1 Introduction to Limits
 9.2 Infinite Limits and Limits at Infinity
 9.3 Continuity
 9.4 The Derivative
 9.5 Basic Differentiation Properties
 9.6 Differentials
 9.7 Marginal Analysis in Business and Economics
 Chapter 9 Summary and Review
 Review Exercises
 10. Additional Derivative Topics
 10.1 The Constant e and Continuous Compound Interest
 10.2 Derivatives of Exponential and Logarithmic Functions
 10.3 Derivatives of Products and Quotients
 10.4 The Chain Rule
 10.5 Implicit Differentiation
 10.6 Related Rates
 10.7 Elasticity of Demand
 Chapter 10 Summary and Review
 Review Exercises
 11. Graphing and Optimization
 11.1 First Derivative and Graphs
 11.2 Second Derivative and Graphs
 11.3 L'Hôpital's Rule
 11.4 CurveSketching Techniques
 11.5 Absolute Maxima and Minima
 11.6 Optimization
 Chapter 11 Summary and Review
 Review Exercises
 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
 Chapter 12 Summary and Review
 Review Exercises
 13. Additional Integration Topics
 13.1 Area Between Curves
 13.2 Applications in Business and Economics
 13.3 Integration by Parts
 13.4 Other Integration Methods
 Chapter 13 Summary and Review
 Review Exercises
 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
 14.7 Double Integrals over More General Regions
 Chapter 14 Summary and Review
 Review Exercises
 15. Markov Chains (online at goo.gl/8SZkyn)
 15.1 Properties of Markov Chains
 15.2 Regular Markov Chains
 15.3 Absorbing Markov Chains
 Chapter 15 Summary and Review
 Review Exercises
Appendix A: Basic Algebra Review
 A.1 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 (online at goo.gl/mjbXrG)
 B.1 Sequences, Series, and Summation Notation
 B.2 Arithmetic and Geometric Sequences
 B.3 Binomial Theorem
 B.4 Interpolating Polynomials and Divided Differences
Appendix C: Tables
 Table I Integration Formulas
 Table II Area under the Standard Normal Curve
Answers
Index
Index of Applications
Your questions answered
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