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Introductory & Intermediate Algebra for College Students de Robert F. Blitzer

Introductory & Intermediate Algebra for College Students

Autor Robert F. Blitzer
en Limba Engleză Mixed media product – 17 feb 2008
The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student appeal. Blitzer’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!
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Specificații

ISBN-13: 9780136028956
ISBN-10: 0136028950
Pagini: 1152
Dimensiuni: 216 x 276 mm
Greutate: 2.51 kg
Ediția:3Nouă
Editura: Pearson Education
Colecția Pearson Education
Locul publicării:Upper Saddle River, United States

Cuprins

A Brief Guide to Getting the Most from This Book
Preface
To The Student
About the Author
 
1. Variables, Real Numbers, and Mathematical Models
1.1 Introduction to Algebra: Variables and Mathematical Models
1.2 Fractions in Algebra
1.3 The Real Numbers
1.4 Basic Rules of Algebra
            Mid-Chapter Check Point Section 1.1—Section 1.4
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponents and Order of Operations
            Chapter 1 Group Project
            Chapter 1 Summary
            Chapter 1 Review Exercises
            Chapter 1 Chapter Test

2. Linear Equations and Inequalities in One Variable
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Solving Linear Equations
2.4 Formulas and Percents
            Mid-Chapter Check Point Section 2.1—Section 2.4
2.5 An Introduction to Problem Solving
2.6 Problem Solving in Geometry
2.7 Solving Linear Inequalities
            Chapter 2 Group Project
            Chapter 2 Summary
            Chapter 2 Review Exercises
            Chapter 2 Test
            Cumulative Review Exercises (Chapters 1—2)

3. Linear Equations in Two Variables
3.1 Graphing Linear Equations in Two Variables
3.2 Graphing Linear Equations Using Intercepts
3.3 Slope
3.4 The Slope-Intercept Form of the Equation of a Line
            Mid-Chapter Check Point Section 3.1—Section 3.4
3.5 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)
 

4. Systems of Linear Equations
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by the Substitution Method
4.3 Solving Systems of Linear Equations by the Addition Method
            Mid-Chapter Check Point Section 4.1—Section 4.3
4.4 Problem Solving Using Systems of Equations
4.5 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)

5. Exponents and Polynomials
5.1 Adding and Subtracting Polynomials
5.2 Multiplying Polynomials
5.3 Special Products
5.4 Polynomials in Several Variables
            Mid-Chapter Check Point Section 5.1—Section 5.4
5.5 Dividing Polynomials
5.6 Long Division of Polynomials; Synthetic Division
5.7 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)

6. Factoring Polynomials
6.1 The Greatest Common Factor and Factoring By Grouping
6.2 Factoring Trinomials Whose Leading Coefficient Is 1
6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1
            Mid-Chapter Check Point Section 6.1—Section 6.3
6.4 Factoring Special Forms
6.5 A General Factoring Strategy
6.6 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)

7. Rational Expressions
7.1 Rational Expressions and Their Simplification
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
            Mid-Chapter Check Point Section 7.1—Section 7.4
7.5 Complex Rational Expressions
7.6 Solving Rational Equations
7.7 Applications Using Rational Equations and Proportions
7.8 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

8. Basics of Functions
8.1 Introduction to Functions
8.2 Graphs of Functions
8.3 The Algebra of Functions
            Mid-Chapter Check Point Section 8.1—Section 8.3
8.4 Composite and Inverse Functions
            Chapter 8 Group Project
            Chapter 8 Summary
            Chapter 8 Review Exercises
            Chapter 8 Test
            Cumulative Review Exercises (Chapters 1—8)
 
9. Inequalities and Problem Solving
9.1 Business Applications Using Linear Inequalities
9.2 Compound Inequalities
9.3 Equations and Inequalities Involving Absolute Value
            Mid-Chapter Check Point Section 9.1—Section 9.3
9.4 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)
 
10. Radicals, Radical Functions, and Rational Exponents
10.1 Radical Expressions and Functions
10.2 Rational Exponents
10.3 Multiplying and Simplifying Radical Expressions
10.4 Adding, Subtracting, and Dividing Radical Expressions
            Mid-Chapter Check Point Section 10.1—Section 10.4
10.5 Multiplying with More Than One Term and Rationalizing Denominators
10.6 Radical Equations
10.7 Complex Numbers
            Chapter 10 Group Project
            Chapter 10 Summary
            Chapter 10 Review Exercises
            Chapter 10 Test
            Cumulative Review Exercises (Chapters 1—10)

11. Quadratic Equations and Functions
11.1 The Square Root Property and Completing the Square; Distance and Midpoint Formulas
11.2 The Quadratic Formula
11.3 Quadratic Functions and Their Graphs
            Mid-Chapter Check Point Section 11.1—Section 11.3
11.4 Equations Quadratic in Form
11.5 Polynomial and Rational Inequalities
            Chapter 11 Group Project
            Chapter 11 Summary
            Chapter 11 Review Exercises
            Chapter 11 Test
            Cumulative Review Exercises (Chapters 1—11)

12. Exponential and Logarithmic Functions
12.1 Exponential Functions
12.2 Logarithmic Functions
12.3 Properties of Logarithms
            Mid-Chapter Check Point Section 12.1—Section 12.3
12.4 Exponential and Logarithmic Equations
12.5 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)

13. Conic Sections and Systems of Nonlinear Equations
13.1 The Circle
13.2 The Ellipse
13.3 The Hyperbola
            Mid-Chapter Check Point Section 13.1—Section 13.3
13.4 The Parabola; Identifying Conic Sections
13.5 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)
 
14. Sequences, Series, and the Binomial Theorem
14.1 Sequences and Summation Notation
14.2 Arithmetic Sequences
14.3 Geometric Sequences and Series
            Mid-Chapter Check Point Section 14.1—Section 14.3
14.4 The Binomial Theorem
            Chapter 14 Group Project
            Chapter 14 Summary
            Chapter 14 Review Exercises
            Chapter 14 Test
            Cumulative Review Exercises (Chapters 1—14)
 
Appendices
A: Mean, Median, and Mode
B: Matrix Solutions to Systems of Linear Equations
C: Determinants and Cramer's Rule
D: Where Did That Come From? Selected Proofs
 
Answers to Selected Exercises
Graphing Answer Section (AIE only)
Applications Index
Subject Index
Photo Credits
 

Notă biografică

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.

Caracteristici

  • Outstanding applications put learning into context for students. Blitzer creates riveting applications that show students the relevance of math. Blitzer’s applications captivate students’ imaginations with his passion for integrating math into the worlds of contemporary society, culture, and art.
  • Newly-revised application-based Chapter and Section Opening Scenarios motivate each section topic and enliven the section material with a real-world application. Each scenario is revisited in an example, discussion, or exercise.
  • Extensive exercise sets offers several types of exercises. This variety makes it easy to create well-rounded homework assignments:
    • Practice Exercises gives students the opportunity to practice the concepts they have just learned.
    • Practice Plus Problems are more challenging exercises that require students to combine several skills or concepts.
    • Application Exercises put concepts into a real-world scenario, giving students an opportunity see how math is applicable to life.
    • Writing in Mathematics exercises ask students to explain terms and concepts in their own words, helping them to develop a mathematical vocabulary.
    • Technology Exercises are optional exercises requiring the use of a graphing utility; many connect back to the Using Technology boxes in the section.
    • Critical Thinking Exercises stretch student thinking by taking concepts one step further while asking students to draw conclusions and justify answers. The new Make Sense and True/False exercises fall under this category.
    • Review Exercises review previously covered topics to improve students’ understanding of the topics and to maintain their mastery of the material.
    • NEW! Preview Exercises help students prepare for the following section by previewing the concepts that they will soon encounter.
  • Mid-Chapter Check Points allow students to stop and assess the skills and concepts they’ve learned separately over several sections.
  • Check Point exercises after every example make the text more interactive by offering students the opportunity to test their understanding of the example by working a similar exercise. Answers to all of the Check Points are in the answer section.
  • Voice Balloons call out key problem-solving tips to clarify processes and make explanations easy to follow.
  • The Brief Guide to Getting the Most from This Book is a useful summary inside the front cover that provides a framework for students to follow to effectively use the text as a learning resource.
  • The Chapter Test Prep Video, which comes with every new copy of the text, provides the solution to every textbook Chapter Test exercise on video. An instructor walks students through each exercise step-by-step, allowing students to pause and rewind as needed.
  • Study Tips Boxes offer suggestions for problem solving, point out common student errors, and provide useful tips and suggestions to help students hone this all-important set of skills.
  • Chapter Summaries are organized by section and highlight important concepts and topics with side-by-side examples to make it easy for students to study and check for mastery of important chapter content.

Caracteristici noi

New and Updated Features:
  • New Applications and Real World Data have been incorporated in this revision, with worked-out examples and application exercises based on new data sets from a variety of books, magazines, newspapers, almanacs, and Web sites.
  • Revised opening scenarios begin each chapter and section with a real-world application. These scenarios are revisited throughout the chapter in examples, exercises, and discussions. The often humorous tone helps fearful and reluctant students overcome their negative perceptions about math.
  • Many new examples and exercises include detailed, worked-out examples involving new data, new application exercises, new Make Sense discussion exercises, new preview exercises, and new exercises that appear in various other categories.
    • “Make Sense?” Exercises contain four critical thinking exercises that foster participation in the learning process. These questions ask students to determine whether statements are sensible, and to explain why or why not, allowing instructors to quickly gauge students’ understanding of concepts.
    • True/False problems now ask students to determine whether statements are true or false. If a statement is false, students are asked to make the necessary changes to produce a true statement.
    • Preview Exercises at the end of each section review concepts that students will need to be successful in the coming section.
    • Model comparison exercises ask students whether values obtained from mathematical models under- or overestimate the data obtained from graphs, and if so, by how much.
 New and Updated in MyMathLab:
  • Exercise coverage has been substantially increased over the previous edition.
  • English and Spanish captioning is now available on all videos.
  • An Interactive Spanish glossary has been included.
  • The Worksheets for Classroom or Lab Practice have been integrated into MyMathLab.
Content Updates:
  • Section 1.1 Introduction to Algebra: Variables and Mathematical Models is a new section that sets the stage for the entire text. Introducing the use of variables to represent numbers allows students to understand how algebra is used to model data. Connections between data and graphing are made through the use of bar and line graphs. This early introduction to algebraic expressions, equations, and models changes the chapter’s focus from real numbers to a broader perspective as reflected in the new title for Chapter 1 Variables, Real Numbers, and Mathematical Models. The rectangular coordinate system is no longer introduced in Chapter 1—the models that appear throughout the early chapters are all displayed using bar and line graphs. This leads to a fluid transition into rectangular coordinates, introduced in Chapter 3 when students begin graphing linear equations.
  • Section 1.2 Fractions in Algebra still reviews fractions and their operations, but now discusses problems involving fractions that appear in algebraic expressions, equations, and mathematical models.
  • Section 2.7 Solving Linear Inequalities introduces interval notation, using both interval and set-builder notation to express solution sets of inequalities.
  • Section 3.1 Graphing Linear Equations in Two Variables introduces the rectangular coordinate system and uses point plotting to graph linear equations. The section focuses exclusively on linear equations, postponing discussions on graphing of nonlinear equations until Chapter 5 Exponents and Polynomials.
  • Section 3.3 Slope contains a new discussion of slope and perpendicular lines.
  • Section 3.5 The Point-Slope Form of the Equation of a Line contains a more thoroughly developed example on writing equations of line perpendicular to a given line.
  • Section 4.2 Solving Systems of Linear Equations by the Substitution Method presents supply and demand models in forms students will encounter if they take an economics course.
  • Section 5.1 Adding and Subtracting Polynomials includes a brief discussion on graphing equations defined by polynomials of degree 2, using point plotting to graph y = x2 – 4.
  • Section 5.6 Long Division of Polynomials; Synthetic Division illustrates the steps involved in long division of whole numbers before considering the similar process for dividing a polynomial by a binomial.
  • Section 8.1 Introduction to Functions and Section 8.2 Graphs of Functions introduce functions over two sections, rather than only one section as in the previous edition. This gradual approach allows for a discussion of functions represented by tables in Section 8.1.
  • Section 9.3 Equations and Inequalities Involving Absolute Value uses boundary points to show students how solving inequalities involving absolute value is connected to the graph of f(x) = |x|. Instructors are given the option of solving absolute value inequalities using boundary points or by the more traditional method of rewriting as equivalent compound inequalities.
  • Section 12.4 Exponential and Logarithmic Equations has been reorganized into four categories:
    • Solving exponential equations using like bases
    • Solving exponential equations using logarithms and logarithmic properties
    • Solving logarithmic equations using the definition of a logarithm
    • Solving logarithmic equations using the one-to-one property of logarithms.
  • New examples appear throughout the section to ensure adequate coverage of each category.
  • A new appendix on Mean, Median, and Mode has been added.