Math Apps (With Math Coursemate With Ebook Printed Access Card)

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  • Edition: 1st
  • Format: Paperback
  • Copyright: 2011-01-01
  • Publisher: Cengage Learning
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Created through a "student-tested, faculty-approved" review process, MATH APPS is an engaging and accessible solution to accommodate the diverse lifestyles of today's learners at a value-based price. The book's concept-based approach, multiple presentation methods, and interesting and relevant applications keep students who typically take the course--business, economics, life sciences, and social sciences majors--engaged in the material. An innovative combination of content delivery both in print and online provides a core text and a wealth of comprehensive multimedia teaching and learning assets, including end-of-chapter review cards, downloadable flashcards and practice problems, online video tutorials, solutions to exercises aimed at supplementing learning outside of the classroom.

Table of Contents

Linear Equations and Functions
Solutions of Linear Equations and Inequalities in One Variable
Linear Inequalities
Relations and Functions
Graphs of Functions
Function Notation
Domains and Ranges
Operations with Functions
Linear Functions
Rate of Change
Slope of a Line
Writing Equations of Lines
Solutions of Systems of Linear Equations
Graphical Solution
Solution by Substitution
Solution by Elimination
Three Equations in Three Variables
Applications of Functions in Business and Economics
Total Cost, Total Revenue, and Profit
Break-Even Analysis
Supply, Demand, and Market Equilibrium
Supply, Demand, and Taxation
Chapter Exercises
Quadratic and Other Special Functions
Quadratic Equations
Factoring Methods
The Quadratic Formula
Quadratic Functions: Parabolas
Business Applications of Quadratic Functions
Supply, Demand, and Market Equilibrium
Break-Even Points and Maximization
Special Functions and Their Graphs
Basic Functions
Polynomial and Rational Functions
Piecewise Defined Functions
Modeling Data with Graphing Utilities (optional)
Chapter Exercises
Chapter 3 Matrices
Operations with Matrices
Addition and Subtraction of Matrices
Scalar Multiplication
Multiplication of Matrices
Product of Two Matrices
Gauss-Jordan Elimination: Solving Systems of Equations
Systems with Unique Solutions
Systems with Nonunique Solutions
Nonsquare Systems
Inverse of a Square Matrix
Matrix Equations
Chapter Exercises
Inequalities and Linear Programming
Linear Inequalities in Two Variables
One Linear Inequality in Two Variables
Systems of Linear Inequalities
Linear Programming: Graphical Methods
Solving Graphically
The Simplex Method: Maximization
The Simplex Method
Tasks and Procedure
Nonunique Solutions: Multiple Solutions and No Solution
The Simplex Method: Duality and Minimization
Dual Problems
Duality and Solving
The Simplex Method with Mixed Constraints
Mixed Constraints and Maximization
Mixed Constraints and Minimization
Chapter Exercises
Exponential and Logarithmic Functions
Exponential Functions
Modeling with Exponential Functions
Logarithmic Functions and Their Properties
Logarithmic Functions and Graphs
Modeling with Logarithmic Functions
Properties of Logarithms
Change of Base
Applications of Exponential and Logarithmic Functions
Solving Exponential Equations Using Logarithmic
Growth and Decay
Economic and Management Applications
Chapter Exercises
Mathematics of Finance
Simple Interest and Arithmetic Sequences
Future Value
Arithmetic Sequences
Compound Interest and Geometric Sequences
Compound IntereSt. Geometric Sequences
Future Values of Annuities
Ordinary Annuities
Annuities Due
Present Values of Annuities
Ordinary Annuities
Annuities Due
Deferred Annuities
Loans and Amortization
Unpaid Balance of a Loan
Chapter Exercises
Introduction to Probability
Probability and Odds
Sample Spaces and Single Events
Empirical Probability
Unions, Intersections, and Complements of Events
Inclusion-Exclusion Principle
Conditional Probability: The Product Rule
Probability Trees and Bayes' Formula
Probability Trees
Bayes' Formula
Counting: Permutations and Combinations
Permutations, Combinations, and Probability
Chapter Exercises
Probability and Data Description
Binomial Probability Experiments
Describing Data
Statistical Graphs
Types of Averages
Variance and Standard Deviation
Discrete Probability Distributions
Discrete Probability Distributions
Measures of Dispersion
The Binomial Distribution
Binomial Formula
Normal Probability Distribution. z-Scores
Chapter Exercises
Notion of a Limit
Properties of Limits, Algebraic Evaluation
Limits of Piecewise Defined Functions
Continuous Functions
Limits at Infinity
Continuous Functions
Limits at Infinity
Average and Instantaneous Rates of Change: The Derivative
Instantaneous Rates of Change: Velocity
Tangent to a Curve
Differentiability and Continuity
Derivative Formulas
Additional Formulas
Marginal Revenue
The Product Rule and the Quotient Rule
Product Rule
Quotient Rule
The Chain Rule and the Power Rule
Chain Rule
Power Rule
Using Derivative Formulas
Higher-Order Derivatives
Second Derivatives
Higher-Order Derivatives
Derivatives in Business and Economics
Marginal Revenue
Marginal CoSt. Marginal Profit
Chapter Exercises
Applications of Derivatives
Relative Maxima and Minima: Curve Sketching
Concavity: Points of Inflection
Points of Inflection
Second-Derivative Test
Optimization in Business and Economics
Absolute Extrema
Maximizing Revenue
Minimizing Average CoSt. Maximizing Profit
Applications of Maxima and Minima
Rational Functions: More Curve Sketching
More Curve Sketching
Chapter Exercises
Derivatives Continued
Derivatives of Logarithmic Functions
Using Properties of Logarithms
Derivatives of Exponential Functions
Implicit Differentiation
Related Rates
Percent Rates of Change
Solving Related-Rates Problems
Applications in Business and Economics
Elasticity of Demand
Taxation in a Competitive Market
Chapter Exercises
Indefinite Integrals
The Indefinite Integral
The Power Rule
Integrals Involving Exponential and Logarithmic Functions
Integrals Involving Exponential Functions
Integrals Involving Logarithmic Functions
The Indefinite Integral in Business and Economics
Total Cost and Profit
National Consumption and Savings
Differential Equations
Solution of Differential Equations
Separable Differential Equations
Applications of Differential Equations
Chapter Exercises
Definite Integrals: Techniques of Integration
The Definite Integral: The Fundamental Theorem of Calculus
Estimating the Area under a Curve
Area between Two Curves
Definite Integrals in Business and Economics
Continuous Income Streams
Consumer's Surplus
Producer's Surplus
Using Tables of Integrals
Integration by Parts
Improper Integrals and Their Applications
Chapter Exercises
Functions of Two or More Variables
Functions of Two or More Variables
Partial Differentiation
First-Order Partial Derivatives
Higher-Order Partial Derivatives
Functions of Two Variables in Business and Economics
Joint Cost and Marginal CoSt
Production Functions
Demand Functions
Maxima and Minima
Constrained Optimization and Lagrange Multipliers
Chapter Exercises
Answers to Odd-Numbered Exercises
Table of Contents provided by Publisher. All Rights Reserved.

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