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Intermediate Algebra Functions and Authentic Applications, 2/E
Jay Lehmann, College of San Mateo

ISBN-10: 0131010603
ISBN-13: 9780131010604

Publisher: Prentice Hall
Copyright: 2004
Format: Cloth; 656 pp
Published: 05/05/2003

This item has been replaced by Intermediate Algebra: Functions & Authentic Applications, 3/E.

For courses in Intermediate Algebra that incorporate a graphing calculator.

Unique and enthusiastic in its approach, this text 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. There is a four-step modeling process integrated throughout. The examples in the text demonstrate both how to perform skills and how to investigate concepts. Students learn why they perform skills to solve problems as well as how to solve the problems. Explorations deepen students' understanding as they investigate mathematics with graphing calculator and pencil and paper activities.

NEW - Full color design.
- Pedagogical use of color clarifies concepts and enlivens the presentation for students.

NEW - 90% of the data sets are new and/or revised—Additionally, the overall number of applications has increased 15%.
- Provides students with more interesting and current modeled situations.

NEW - The scope of Chapter 6 expanded from quadratic expressions and functions to polynomial expressions and functions—Three sections are revised and the new Section 6.4 on factoring by grouping and factoring strategies has been added.
- Teaches students to expand and factor polynomial expressions and to solve polynomial equations.

NEW - Section 8.7 Direct Variation and Inverse variation added to chapter 8.
- Provides students with a presentation that uses the theme of curve fitting authentic data.

NEW - Section 11. 5 including authentic interest, value, and revenue applications has been added to chapter 11.
- Familiarizes students with building equations using deductive reasoning of a different form than required for curve fitting. The equations are used for authentic purposes and illustrate concepts relevant to functions.

NEW - Revised inverse functions presentation in section 5.1—Scope expanded from the inverse of a linear function to the inverse of any invertible function. Discusses inverse functions in terms of tables, graphs and equations.
- Provides students with a presentation that emphasizes finding inverses of any type of invertible function and sets the stage for graphing logarithmic functions later in the chapter.

NEW - Some topics have been reorganized—Natural logarithms are now in 5.6; Sums and differences of cubes are now covered in 11.3.
- Teaches students about all types of logarithms discussed in the text in one chapter.
- Gives instructors the greatest flexibility in whether sums and differences of cubes in the Additional Topics Chapter 11 is assigned.

NEW - Instructor and Student Resources.
- MathPro5 online tutorial software, MathPro4 Tutorial software for installation on a lab network or in a stand-alone CD-Rom, TestGen-EQ Computerized Testing Software, Digitized Videos and the Prentice Hall Tutor Center round out the Lehmann supplements package. For more information visit www.prenhall.com/
- developmentalmath.
- Enables students to seek support in learning mathematics, to practice an abundant supply of skill exercises, and to deepen their understanding of concepts.

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.
- Encourages students to view functions graphically, numerically, and symbolically as well as to verbally describe concepts related to functions. 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.
- 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—The text assumes that students have access to a graphing calculator. Screen dumps, Appendix B on how to use the Ti-83, Appendix C on commands for TI-82/83/85/86 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.
- Provides instructors with 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 sections.
- Supports students in completing daily homework assignments, and preparing for quizzes and exams.

Full color design.
- Pedagogical use of color clarifies concepts and enlivens the presentation for students.

90% of the data sets are new and/or revised—Additionally, the overall number of applications has increased 15%.
- Provides students with more interesting and current modeled situations.

The scope of Chapter 6 expanded from quadratic expressions and functions to polynomial expressions and functions—Three sections are revised and the new Section 6.4 on factoring by grouping and factoring strategies has been added.
- Teaches students to expand and factor polynomial expressions and to solve polynomial equations.

Section 8.7 Direct Variation and Inverse variation added to chapter 8.
- Provides students with a presentation that uses the theme of curve fitting authentic data.

Section 11. 5 including authentic interest, value, and revenue applications has been added to chapter 11.
- Familiarizes students with building equations using deductive reasoning of a different form than required for curve fitting. The equations are used for authentic purposes and illustrate concepts relevant to functions.

Revised inverse functions presentation in section 5.1—Scope expanded from the inverse of a linear function to the inverse of any invertible function. Discusses inverse functions in terms of tables, graphs and equations.
- Provides students with a presentation that emphasizes finding inverses of any type of invertible function and sets the stage for graphing logarithmic functions later in the chapter.

Some topics have been reorganized—Natural logarithms are now in 5.6; Sums and differences of cubes are now covered in 11.3.
- Teaches students about all types of logarithms discussed in the text in one chapter.
- Gives instructors the greatest flexibility in whether sums and differences of cubes in the Additional Topics Chapter 11 is assigned.

Instructor and Student Resources.
- MathPro5 online tutorial software, MathPro4 Tutorial software for installation on a lab network or in a stand-alone CD-Rom, TestGen-EQ Computerized Testing Software, Digitized Videos and the Prentice Hall Tutor Center round out the Lehmann supplements package. For more information visit www.prenhall.com/
- developmentalmath.
- Enables students to seek support in learning mathematics, to practice an abundant supply of skill exercises, and to deepen their understanding of concepts.

(NOTE: Each chapter ends with Lab Activities, Key Points of This Chapter, Chapter Review Exercises, and Chapter Test.)

1. Linear Functions.

2. Modeling with Linear Functions.

3. Systems of Linear Equations.

4. Exponential Functions.

5. Logarithmic Functions.

6. Polynomial Functions.

7. Using Quadratic Functions to Model Data.

8. Rational Functions.

9. Radical Functions.

10. Modeling with Sequences and Series.

11. Additional Topics.

Appendix A: Reviewing Prerequisite Material.

Appendix B: Using a TI-82 or TI-83 Graphing Calculator.

Appendix C: Comparing TI-82/83/85/86 Calculator Commands.

Answers to Odd-Numbered Exercises.

Index.

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Jay Lehmann is passionate about answering the question so many math instructors hear their students ask: But what is this good for? He discovered that a curve fitting approach could enable students to see how math is used in all walks of life with current, compelling, and authentic situations. In addition to curve fitting, Lehmann's approach includes other types of meaningful modeling, directed-discovery explorations, conceptual questions, labs, and of course, a large bank of skill problems. The curve fitting applications serve as a portal for students to see the usefulness of mathematics so that they become fully engaged in the class. Once involved, they are more receptive to all aspects of the course.

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