Introductory & Intermediate Algebra for College Students

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2008-02-18
  • Publisher: Pearson
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KEY MESSAGE: TheBlitzer Algebra Seriescombines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student appeal. Blitzerrs"s personality shows in his writing, as he draws students into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success! KEY TOPICS: Variables, Real Numbers, and Mathematical Models; Linear Equations and Inequalities in One Variable; Linear Equations in Two Variables; Systems of Linear Equations; Exponents and Polynomials; Factoring Polynomials; Rational Expressions; Basics of Functions; Inequalities and Problem Solving; Radicals, Radical Functions, and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conic Sections and Systems of Nonlinear Equations; Sequences, Series, and the Binomial Theorem. MARKET: for all readers interested in algebra.

Author Biography

Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob’s love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to Intermediate Algebra for College Students, Bob has written textbooks covering introductory algebra, college algebra, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Prentice Hall. When not secluded in his Northern California writer’s cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore, and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.

Table of Contents

A Brief Guide to Getting the Most from This Book
To The Student
About the Author
Variables, Real Numbers, and Mathematical Models
Introduction to Algebra: Variables and Mathematical Models
Fractions in Algebra
The Real Numbers
Basic Rules of Algebra
Mid-Chapter Check Point Section 1.1-Section 1.4
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponents and Order of Operations
Chapter 1 Group Project
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Chapter Test
Linear Equations and Inequalities in One Variable
The Addition Property of Equality
The Multiplication Property of Equality
Solving Linear Equations
Formulas and Percents
Mid-Chapter Check Point Section 2.1-Section 2.4
An Introduction to Problem Solving
Problem Solving in Geometry
Solving Linear Inequalities
Chapter 2 Group Project
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Cumulative Review Exercises (Chapters 1-2)
Linear Equations in Two Variables
Graphing Linear Equations in Two Variables
Graphing Linear Equations Using Intercepts
The Slope-Intercept Form of the Equation of a Line
Mid-Chapter Check Point Section 3.1-Section 3.4
The Point-Slope Form of the Equation of a Line
Chapter 3 Group Project
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Cumulative Review Exercises (Chapters 1-3)
Systems of Linear Equations
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by the Substitution Method
Solving Systems of Linear Equations by the Addition Method
Mid-Chapter Check Point Section 4.1-Section 4.3
Problem Solving Using Systems of Equations
Systems of Linear Equations in Three Variables
Chapter 4 Group Project
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Cumulative Review Exercises (Chapters 1-4)
Exponents and Polynomials
Adding and Subtracting Polynomials
Multiplying Polynomials
Special Products
Polynomials in Several Variables
Mid-Chapter Check Point Section 5.1-Section 5.4
Dividing Polynomials
Long Division of Polynomials
Synthetic Division
Negative Exponents and Scientific Notation
Chapter 5 Group Project
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Cumulative Review Exercises (Chapters 1-5)
Factoring Polynomials
The Greatest Common Factor and Factoring By Grouping
Factoring Trinomials Whose Leading Coefficient Is 1
Factoring Trinomials Whose Leading Coefficient Is Not 1
Mid-Chapter Check Point Section 6.1-Section 6.3
Factoring Special Forms
A General Factoring Strategy
Solving Quadratic Equations By Factoring
Chapter 6 Group Project
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Cumulative Review Exercises (Chapters 1-6)
Rational Expressions
Rational Expressions and Their Simplification
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions with the Same Denominator
Adding and Subtracting Rational Expressions with Different Denominators
Mid-Chapter Check Point Section 7.1-Section 7.4
Complex Rational Expressions
Solving Rational Equations
Applications Using Rational Equations and Proportions
Modeling Using Variation
Chapter 7 Group Project
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Test
Cumulative Review Exercises (Chapters 1-7)
Mid-Textbook Check Point
Basics of Functions
Introduction to Functions
Graphs of Functions
The Algebra of Functions
Mid-Chapter Check Point Section 8.1-Section 8.3
Composite and Inverse Functions
Chapter 8 Group Project
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Test
Cumulative Review Exercises (Chapters 1-8)
Inequalities and Problem Solving
Business Applications Using Linear Inequalities
Compound Inequalities
Equations and Inequalities Involving Absolute Value
Mid-Chapter Check Point Section 9.1-Section 9.3
Linear Inequalities in Two Variables
Chapter 9 Group Project
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Test
Cumulative Review Exercises (Chapters 1-9)
Radicals, Radical Functions, and Rational Exponents
Radical Expressions and Functions
Rational Exponents
Multiplying and Simplifying Radical Expressions
Adding, Subtracting, and Dividing Radical Expressions
Mid-Chapter Check Point Section 10.1-Section 10.4
Multiplying with More Than One Term and Rationalizing Denominators
Radical Equations
Complex Numbers
Chapter 10 Group Project
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Test
Cumulative Review Exercises (Chapters 1-10)
Quadratic Equations and Functions
The Square Root Property and Completing the Square
Distance and Midpoint Formulas
The Quadratic Formula
Quadratic Functions and Their Graphs
Mid-Chapter Check Point Section 11.1-Section 11.3
Equations Quadratic in Form
Polynomial and Rational Inequalities
Chapter 11 Group Project
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Test
Cumulative Review Exercises (Chapters 1-11)
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Mid-Chapter Check Point Section 12.1-Section 12.3
Exponential and Logarithmic Equations
Exponential Growth and Decay
Modeling Data
Chapter 12 Group Project
Chapter 12 Summary
Chapter 12 Review Exercises
Chapter 12 Test
Cumulative Review Exercises (Chapters 1-12)
Conic Sections and Systems of Nonlinear Equations
The Circle
The Ellipse
The Hyperbola
Mid-Chapter Check Point Section 13.1-Section 13.3
The Parabola
Identifying Conic Sections
Systems of Nonlinear Equations in Two Variables
Chapter 13 Group Project
Chapter 13 Summary
Chapter 13 Review Exercises
Chapter 13 Test
Cumulative Review Exercises (Chapters 1-13)
Sequences, Series, and the Binomial Theorem
Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences and Series
Mid-Chapter Check Point Section 14.1-Section 14.3
The Binomial Theorem
Chapter 14 Group Project
Chapter 14 Summary
Chapter 14 Review Exercises
Chapter 14 Test
Cumulative Review Exercises (Chapters 1-14)
Mean, Median, and Mode
Matrix Solutions to Systems of Linear Equations
Determinants and Cramer's Rule
Where Did That Come From? Selected Proofs
Answers to Selected Exercises
Graphing Answer Section (AIE only)
Applications Index
Subject Index
Photo Credits
Table of Contents provided by Publisher. All Rights Reserved.

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