Description

Features

Unique and enthusiastic in its approach, Intermediate Algebra, Third Edition, captivates students' and instructors' interest as they use curve fitting to model current, compelling, and authentic situations. The curve fitting approach emphasizes concepts related to functions in a natural, substantial way and encourages students to view functions graphically, numerically, and symbolically as well as to verbally describe concepts related to functions.

The curve fitting applications serve as a portal for students to see the usefulness of mathematics, in all walks of life, so that they become fully engaged in the course, and helps to answer the question but what is this good for?

Lehmann's Hallmarks and Key Features:

• Curve fitting Approach:  Central theme of the text, Lehmann uses curve fitting and functions to analyze data.  Students learn a four-step modeling process to curve fit.  This encourages students to view functions graphically, numerically, and symbolically as well as to verbally describe concepts related to functions.  Also allows multiple ways of exploring the same set of data.

• Early introduction to functions and emphasis throughout the text:  Reduces overlap of information from introductory algebra and immediately exposes students to the concept of functions.  Provides excellent preparation for subsequent courses (College Algebra, Precalculus, Trigonometry).

• Emphasis on modeling and authentic applications:  Enables students to see mathematics as a useful tool to solve problems in authentic situations. Encourages students to analyze, think critically, and work with real world data to make predications about real world issues and events.

• Explorations:  Support student investigation of a concept or a skill.  Teaches students concepts through directed-discovery activities that promote active, collaborative learning.

• "Taking it to the Lab" appear at the end of most chapters and many involve curve fitting data obtained by physical experiments.   These increases students' understanding of concepts and scientific method and provides instructors with an excellent avenue for more in-depth writing assignments.

• Hundreds of fascinating data sets–Collected from scientific experiments, the Internet, newspapers, and the census.  Teaches students to find equations of functions to model such data. Students use two or three “good points” to find equations of models (or they can use regression).

• Technology:  This text assumes that students have access to a graphing calculator. Screen dumps, and Appendix B on how to use the TI-83 & TI-84 graphing calculators are included in the text.  Supports students in the use of the graphing calculator to create scattergrams, verify work and investigate concepts.

• Homework sets:  Contain large numbers of skill, concept, and application exercises allowing instructors maximum flexibility in setting assignments.

• Tips on Succeeding in This Course:  Offers students new learning strategies, sound advice on study habits, getting help, verifying work, and test-taking strategies.

• "Key Points of This Section" and "Key Points of This Chapter:"  Suppors students in completing daily homework assignments, and preparing for quizzes and exams.

New To This Edition

1.  Enhanced emphasis on Modeling:

• Most data tables have been updated or replaced.
• Modeling discussions have been added to some sections that did not contain modeling in the second edition.
• Modeling exercises have been added that require students to identify data described in paragraph form, to define variables, to find models, and to make predictions without prompts from the exercises.

2.  Enhancements to Homework Sets:

• NEW! Related Review exercises have been added to Chapters 4–11. These exercises relate current concepts to previously learned concepts.
• NEW! Expressions, Equations, Functions, and Graphs exercises have been added throughout the text.These exercises are designed to help students gain a solid understanding of those core concepts, including how to distinguish among them.
• Challenging exercises have been added to certain sectionsin response to some math departments’ requests. For example, multivariate expressions have been added where appropriate.
• Several sections now discuss how to use graphs and tables to solve equations in one variable.
• The number of exercises in which students evaluate functions has been increased where appropriate.
• Exercises that require students to solve formulas for a specified variable have been added where appropriate.

• NEW! MyMathLab®:  MyMathLab is a series of text specific, easily customizable, online courses for Prentice Hall textbooks in mathematics and statistics. MyMathLab is powered by Course Compass ™--Pearson Education’s online teaching and learning environment–and by MathXL ®--our online homework, tutorial, and assessment system. MyMathLab gives instructors the tools they need to deliver all or a portion of their course online, whether students are in a lab setting or working from home. MyMathLab provides a rich and flexible set of course materials, featuring free-response exercises that are algorithmically generated for unlimited practice and mastery. Students can also use online tools, such as video lectures, animations, and a multimedia textbook, to independently improve their understanding and performance. Instructors can use MyMathLab’s homework and test managers to select and assign online exercises correlated directly to the text, and they can import TestGen tests into MyMathLab for added flexibility.  MyMathLab’s online gradebook-designed specifically for mathematics and statistics-automatically tracks students’ homework and test results and gives the Instructor control over how to calculate final grades.  Instructors can also add offline (paper-and-pencil) grades to the gradebook.  MyMathLab is available to qualified adopters.  For more information, visit our Web site at www.mymathlab.com or contact your Prentice Hall Representative for a product demonstration.

• NEW!  MathXL®:  MathXL is a powerful online homework, tutorial, and assessment system that accompanies the text. With MathXL, instructors can create, edit, and assign online homework and tests using algorithmically generated exercises correlated to your textbook. All student work is tracked in MathXL's online gradebook. Students can take chapter tests in MathXL and receive personalized study plans based on their test results. The study plan diagnoses weaknesses and links students directly to tutorial exercises for the objectives they need to study and retest. Students can also access supplemental animations and video clips directly from selected exercises. MathXL is available to qualified adopters. For more information, visit our website at www.mathxl.com, or contact your Prentice Hall sales representative for a product demonstration.

3.  Some Pedagogical Enhancements:

• Warnings have been added to address students’ common misunderstandings about key concepts.
• Each chapter now begins with a description of an authentic situation that can be modeled by using the concepts discussed in the chapter.

CONTENT CHANGES:

1.  New Sections:

• New Section 3.4, on value, interest, and mixture problems, employs a different set of problem-solving skills than curve-fitting applications warrant. Some of these problems require students to use functions to model situations and to reflect on the meaning of the parameters and graphs of such functions.
• New Section 6.1 discusses how to add and subtract polynomials and polynomial functions. Sum functions and difference functions are used to model situations. (Product functions and quotient functions are now discussed in Sections 6.2 and 8.1, respectively.)

 2.  Revised or Expanded Sections:

• The treatment of domains and ranges of functions has been greatly enhanced in Section 1.6.
• Sections 2.2, 2.3, 4.5, and 5.4 have been expanded to include modeling exercises in paragraph form.
• Section 2.4 now discusses rate of change before connecting this concept with the slope of a linear function.
• Section 6.4 has been expanded to include two methods of factoring trinomials of the form.
• Section 7.2 has been expanded to include two methods of graphing quadratic functions in standard form and now covers the topic of maximizing area.
• A discussion about deciding which method to use to solve a quadratic equation has been added to Section 7.5.
• Section 7.6 now covers solving systems of linear equations in three variables.

 3.  Reorganization

• Graphing quadratic functions has been moved from Chapter 6 to Chapter 7. Now Chapter 6 focuses on polynomial functions, and Chapter 7 focuses on quadratic functions.
• Factoring sums and differences of cubes has been moved from Chapter 11 to Section 6.5. Now all factoring techniques are discussed in Chapter 6.
• Finding complex-number solutions of quadratic equations has been moved from Chapter 11 to Sections 7.3, 7.4, and 7.5.

Table of Contents

Note: Each chapter concludes with Chapter Summary, Key Points of the Chapter, Chapter Review Exercises, and Chapter Practice Tests.

Chapter 1:  Linear Equations and Linear Functions   

1.1 Using Qualitative Graphs to Describe Situations   

1.2 Graphing Linear Equations   

1.3 Slope of a Line   

1.4 Meaning of Slope for Equations, Graphs, and Tables   

1.5 Finding Linear Equations   

1.6 Functions   

Chapter 2:  Modeling with Linear Functions   

2.1 Using Lines to Model Data   

2.2 Finding Equations of Linear Models   

2.3 Function Notation and Making Predictions   

2.4 Slope Is a Rate of Change    

Chapter 3:  Systems of Linear Equations   

3.1 Using Graphs and Tables to Solve Systems   

3.2 Using Substitution and Elimination to Solve Systems   

3.3 Using Systems to Model Data   

3.4 Value, Interest, and Mixture Problems   

3.5 Using Linear Inequalities in One Variable to Make Predictions   

Chapter 4:  Exponential Functions   

4.1 Properties of Exponents   

4.2 Rational Exponents   

4.3 Graphing Exponential Functions   

4.4 Finding Equations of Exponential Functions   

4.5 Using Exponential Functions to Model Data    

Chapter 5:  Logarithmic Functions   

5.1 Inverse Functions   

5.2 Logarithmic Functions   

5.3 Properties of Logarithms   

5.4 Using the Power Property with Exponential Models to Make Predictions   

5.5 More Properties of Logarithms   

5.6 Natural Logarithms   

Chapter 6:  Polynomial Functions   

6.1 Adding and Subtracting Polynomial Expressions and Functions   

6.2 Multiplying Polynomial Expressions and Functions   

6.3 Factoring Trinomials of the Form x² + bx + c; Factoring Out the GCF   

6.4 Factoring Polynomials   

6.5 Factoring Special Binomials; A Factoring Strategy   

6.6 Using Factoring to Solve Polynomial Equations

Chapter 7:  Quadratic Functions   

7.1 Graphing Quadratic Functions in Vertex Form   

7.2 Graphing Quadratic Functions in Standard Form   

7.3 Using the Square Root Property to Solve Quadratic Equations   

7.4 Solving Quadratic Equations by Completing the Square   

7.5 Using the Quadratic Formula to Solve Quadratic Equations   

7.6 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions   

7.7 Finding Quadratic Models   

7.8 Modeling with Quadratic Functions   

Chapter 8:  Rational Functions   

8.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions   

8.2 Multiplying and Dividing Rational Expressions   

8.3 Adding and Subtracting Rational Expressions   

8.4 Simplifying Complex Rational Expressions   

8.5 Solving Rational Equations   

8.6 Modeling with Rational Functions   

8.7 Variation   

Chapter 9:  Radical Functions   

9.1 Simplifying Radical Expressions   

9.2 Adding, Subtracting, and Multiplying Radical Expressions   

9.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions   

9.4 Graphing and Combining Square Root Functions   

9.5 Solving Radical Equations   

9.6 Modeling with Square Root Functions               

Chapter 10:  Sequences and Series   

10.1 Arithmetic Sequences   

10.2 Geometric Sequences

10.3 Arithmetic Series

10.4 Geometric Series    

Chapter 11:  Additional Topics   

11.1 Absolute Value: Equations and Inequalities   

11.2 Linear Inequalities in Two Variables; Systems of Linear Inequalities

11.3 Performing Operations with Complex Numbers

11.4 Pythagorean Theorem, Distance Formula, and Circles

11.5 Ellipses and Parabolas

11.6 Solving Nonlinear Systems of Equations   

Appendix A:  Reviewing Prerequisite Material   

A.1 Plotting Points   

A.2 Identifying Types of Numbers   

A.3 Absolute Value   

A.4 Performing Operations with Real Numbers   

A.5 Exponents   

A.6 Order of Operations   

A.7 Constants, Variables, Expressions, and Equations   

A.8 Distributive Law   

A.9 Combining Like Terms   

A.10 Solving Linear Equations in One Variable   

A.11 Solving Equations in Two or More Variables   

A.12 Equivalent Expressions and Equivalent Equations   

Appendix B:  Using a TI-83 or TI-84 Graphing Calculator   

B.1 Turning a Graphing Calculator On or Off   

B.2 Making the Screen Lighter or Darker   

B.3 Entering an Equation   

B.4 Graphing an Equation   

B.5 Tracing a Curve without a Scattergram   

B.6 Zooming   

B.7 Setting the Window Format   

B.8 Plotting Points in a Scattergram   

B.9 Tracing a Scattergram   

B.10 Graphing Equations with a Scattergram   

B.11 Tracing a Curve with a Scattergram   

B.12 Turning a Plotter On or Off   

B.13 Creating a Table   

B.14 Creating a Table for Two Equations   

B.15 Using “Ask” in a Table   

B.16 Finding the Regression Curve for Some Data   

B.17 Plotting Points in Two Scattergrams   

B.18 Finding the Intersection Point(s) of Two Curves   

B.19 Finding the Minimum or Maximum of a Curve   

B.20 Storing a Value   

B.21 Finding Any x-Intercepts of a Curve   

B.22 Turning an Equation On or Off   

B.23 Finding Coordinates of Points   

B.24 Graphing Equations with Axes “Turned Off”   

B.25 Entering an Equation by Using Yn References    

B.26 Responding to Error Messages   

Answers to Odd-Numbered Exercises    

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Intermediate Algebra  (Mathematics)

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• Intermediate Algebra: Functions & Authentic Applications, 4/E
  Lehmann
  ©2011  |  Pearson  |  Cloth; 720 pp  |  Instock
  ISBN-10: 032162095X  |  ISBN-13: 9780321620958
  Suggested retail price: $168.00  Buy from myPearsonStoreNet price: $126.00  (What's this?)Brief Description  | 

  

  Unique in its approach, the Lehmann Algebra Series uses curve fitting to model compelling, authentic situations, while answering the perennial question “But what is this good for?” Lehmann begins with interesting data sets, and then uses the data to find models and derive equations that fit the scenario. This interactive approach to the data helps students connect concepts and motivates them to learn. The curve-fitting approach encourages students to understand functions graphically, numerically, and symbolically. Because of the multi-faceted understanding that they gain, students are able to verbally describe the concepts related to functions.

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MathXL -- Instant Access -- for Intermediate Algebra: Functions & Authentic Applications, 3/E
Lehmann
©2008  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0131953575  |  ISBN-13: 9780131953574
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MyMathLab with eBook -- Instant Access -- for Intermediate Algebra: Functions & Authentic Applications, 3/E
Lehmann
©2008  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0131953567  |  ISBN-13: 9780131953567
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TestGen® Computerized Test Bank for Elementary Algebra: Graphs and Authentic Applications, 3/E
Lehmann
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MathXL -- Instant Access -- for Intermediate Algebra: Functions & Authentic Applications, 3/E
Lehmann
©2008  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0131953575  |  ISBN-13: 9780131953574
Online purchase price: $50.00More Info

MyMathLab with eBook -- Instant Access -- for Intermediate Algebra: Functions & Authentic Applications, 3/E
Lehmann
©2008  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0131953567  |  ISBN-13: 9780131953567
Online purchase price: $82.00  |  Students, buy access Take a Tour  |  More Info

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MathXL -- Instant Access -- for Intermediate Algebra: Functions & Authentic Applications, 3/E
Lehmann
©2008  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0131953575  |  ISBN-13: 9780131953574
Online purchase price: $50.00More Info

MyMathLab with eBook -- Instant Access -- for Intermediate Algebra: Functions & Authentic Applications, 3/E
Lehmann
©2008  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0131953567  |  ISBN-13: 9780131953567
Online purchase price: $82.00  |  Students, buy access More Info

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006  |  Pearson  |  Study Card; 6 pp  |  Instock
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Graphing Calculator Reference Card, 3/E
Ripley
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Mathematics Spanish Glossary, 2/E
Lara & Peeples
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Trigonometry, 2/E
Beecher, Penna & Bittinger
©2008  |  Pearson  |  Paper; 272 pp  |  Instock
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Allied Health Study Card, 2/E
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Basic Math Review Card, 2/E
Addison-Wesley
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Addison Wesley Higher Education Group
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Addison-Wesley
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997  |  Pearson  |  Paper; 195 pp  |  Instock
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Graphing Calculator Tutorial CD
Addison-Wesley
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Overcoming Math Anxiety, 2/E
Davidson & Levitov
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Prealgebra Review Workbook
Wheel
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Review of Algebra, A
Howard
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Spanish Basic Math Study Card
Leonarte
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TestGen All-in-One 2005 Package
Addison-Wesley
©2005  |  Pearson  |  CD-ROM Only  |  Instock
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MathXL -- Instant Access -- for Intermediate Algebra: Functions & Authentic Applications, 3/E
Lehmann
©2008  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0131953575  |  ISBN-13: 9780131953574
Online purchase price: $50.00More Info

MyMathLab with eBook -- Instant Access -- for Intermediate Algebra: Functions & Authentic Applications, 3/E
Lehmann
©2008  |  On-line Supplement; 720 pp  |  Access Code Required  |  Live
ISBN-10: 0131953567  |  ISBN-13: 9780131953567
Online purchase price: $82.00  |  Students, buy access Take a Tour  |  More Info

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• Intermediate Algebra: Functions and Authentic Applications, CourseSmart eTextbook, 3/E
  Lehmann
  ©2008  |  Pearson  |  Electronic Book; 720 pp  |  Available
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