Pearson - College Algebra: An Early Functions Approach

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College Algebra: An Early Functions Approach
Robert F. Blitzer, Miami-Dade Community College

ISBN-10: 0131870270
ISBN-13: 9780131870277

Publisher: Pearson
Copyright: 2007
Format: Cloth; 832 pp
Published: 12/29/2005
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Description

Gets Them Engaged. Keeps Them Engaged.

Blitzer's philosophy: present the full scope of mathematics, while always (1) engaging the student by opening their minds to learning (2) keeping the student engaged on every page (3) explaining ideas directly, simply, and clearly so they don't get "lost" when studying and reviewing.

Features

HALLMARK FEATURES:

Relevant, diverse applications with updated real-world data—Provides more interesting, real-world applications than found in any similar text.
- Topics include cigarette consumption, passion and commitment in humans, and online spending trends.
  - Brings relevance to examples, discussions, and applications
  - applications involving cost functions, revenue functions, and break-even points (section 8.1) presents business majors with important topics.
  - Peaks students' interest by showing them how important math is to their lives on a daily basis.
Exceptionally clear and accessible presentation—More so than any text in the market, Blitzer is fastidious about ensuring that students can follow the book when they get home from class.
1. Features voice balloons that allow for very, specific annotations in examples. These annotations are the things that instructors say to students when teaching a particular example. These annotations, like an instructor, translate the math for students.
  - Further clarifies procedures and concepts for students.
  - Appears everywhere throughout the text, in examples and beside graphs, whereever a student needs help.
  - Helps the students remember what the instructor said in class - - they get help when they need it the most - - when they are at home trying to do their homewor
2. Well-Constructed Examples ALWAYS USE THE SAME FORMAT—"See it, Hear it, Try it" No steps are omitted and each step is clearly explained.
  - Students always know what to expect when they read the examples at home because the format it always the same
  - The format helps clarify and reinforce learning - First, students read the algebraic expression. Then, the annotations (or instructor's voice) help clarify the steps needed to solve the example, and last, the concept is immediately reinforced as the student is asked to try and solve a similar problem - a Checkpoint Example - right away. This actively involves students in the learning process.

NEW TO THIS EDITION

Mid Chapter Checkpoints: At approximately the midway point in the chapter, an integrated set of review exercises allows student to review skills and concepts learned separately over several sections.
- Overwhelmingly positively received, this is a great way to check understanding at critical points within chapters instead of waiting until the entire chapter is covered.
Practice Plus Problems: This category of exercises contains more challenging problems. They require students to combine skills and to revisit key concepts in order to solve.
- Gives students the opportunity to further develop their problem solving skills
- Acts as a checkpoint to determine if certain covered skills and concepts are grasped adequately
- Tests conceptual understanding
Chapter Test Prep Videos: An enhancement to the popular Chapter Tests feature of previous editions. New videos now compliment these chapter tests which appear at the end of every chapter. New to this edition are videos which contain worked-out solutions to every exercise in each chapter test. These videos come packaged in the Student and Instructors Edition as well as electronically in MyMathLab.
- The chapter tests allow students to test themselves, before actual quizzes and tests, on their mathematical understanding of key concepts covered in each chapter.
- The videos support the chapter tests by providing students with the aid of “an instructor” when and where they need it most - - when they are at home studying.

OTHER STUDENT SUPPORT

Titled Examples—All examples have titles.
- Enables students to immediately see the purpose of each example.
Chapter-end Tests—Follows the comprehensive collection of chapter review exercises.
- Gives students the opportunity to see if they are prepared for an actual class test.
Cumulative Review Exercises—At the end of each chapter.
- Provides students with the opportunity for continuous review.
Specific mathematical content prepares students for calculus: such as factoring algebraic expressions containing fractional and negative exponents; relative maximum and relative minimum values of a function; and function's average rate of change.
- Helps students who will be going on to Calculus, and gives them an enhanced understanding of functions' graphs and how those graphs are changing.

CONTENT FEATURES:

Complex numbers and the discussion of graphs and graphing utilities appear in Chapter 1.
- Enables students to immediate apply their understanding of complex numbers to their work in solving quadratic equations, and sets the stage for using graphing to support the algebraic work in solving equations and inequalities developed in Chapter 1.
A general discussion on cost and average cost functions appears in section 3.6.
- Makes it possible for students to model these functions from verbal conditions before exploring the behavior of their graphs.
Extensive, and well-organized exercise sets—At the end of each section exercises are organized by level within six category types: Practice Exercises, Application Exercises, Writing in Mathematics, Technology Exercises, Critical Thinking Exercises, and Group Exercises.
- Helps instructors easily create well-rounded homework assignments. Presents students with an ongoing selection of novel applications.
Enrichment Essays and section openers—Includes the five all-time celebrity winners on Jeopardy!, and a comparison between the probability of dying and the probability of winning Florida's lottery.
- Provides historical, interdisciplinary, and interesting connections throughout the text.
Study Tip boxes—Appear in abundance throughout the book.
- Offers students suggestions for problem solving, point out common student errors, and provide informal tips and suggestions.
Technology boxes.
- Illustrates the many capabilities of graphing utilities that go beyond just graphing.
Chapter Review Grids—Feature summaries of chapter material organized into two-column review charts.
- Summarizes the definitions and concepts for every section of the chapter, and refers students to illustrative examples by example number and page number of these key concepts.

New To This Edition

· Refreshed Applications

· Mid Chapter Checkpoints: At approximately the midway point in the chapter, an integrated set of review exercises allows you to review the skills and concepts you learned separately over several sections

· Practice Plus Problems: This category of exercises contains more challenging problems that often require you to combine several skills and concepts allowing students the opportunity to further develop their problem solving skills.

· Chapter Test Prep Videos: These videos contain worked-out solutions to every exercise in each chapter test.

Will come packaged in the back of the SE and IE as well as electronically in MML.

Table of Contents

Table of Contents for Blitzer’s College Algebra, An Early Functions Approach, 1st Edition

Chapter P. Prerequisites: Fundamental Concepts of Algebra.

P.1 Algebraic Expressions and Real Numbers

P.2 Basic Rules of Algebra

P.3 Exponents and Scientific Notation

P.4 Radicals and Rational Exponents

P.5 Polynomials

Mid-Chapter Check Point

P.6 Factoring Polynomials

P.7 Rational Expressions

Chapter 1. Functions and Graphs

1.1 Graphs and Graphing Utilities

1.2 Basics of Functions and Their Graphs

1.3 More on Functions and Their Graphs

1.4 Linear Functions and Slope

1.5 More on Slope

Mid-Chapter Check Point

1.6 Transformations of Functions

1.7 Combinations of Functions; Composite Functions

1.8 Inverse Functions

1.9 Distance and Midpoint Formulas; Circles

Chapter 2. Equations and Inequalities

2.1 Linear Equations and Rational Equations

2.2 Models and Applications

2.3 Complex Numbers

2.4 Quadratic Equations

Mid-Chapter Check Point

2.5 Other Types of Equations

2.6 Linear Inequalities and Absolute Value Inequalities

Chapter 3. Polynomial and Rational Functions.

3.1 Quadratic Functions

3.2 Polynomial Functions and Their Graphs

3.3 Dividing Polynomials: Remainder and Factor Theorems

3.4 Zeros of Polynomial Functions

3.5 More on Zeros of Polynomial Functions

Mid-Chapter Check Point

3.6 Rational Functions and Their Graphs

3.7 Polynomial and Rational Inequalities

3.8 Modeling Using Variation

Chapter 4. Exponential and Logarithmic Functions.

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Properties of Logarithms

Mid-Chapter Check Point

4.4 Exponential and Logarithmic Equations

4.5 Exponential Growth and Decay; Modeling Data

Chapter 5. Systems of Equations and Inequalities.

5.1 Systems of Linear Equations in Two Variables.

5.2 Systems of Linear Equations in Three Variables

5.3 Partial Fractions

5.4 Systems of Nonlinear Equations in Two Variables

Mid-Chapter Check Point

5.5 Systems of Inequalities.

5.6 Linear Programming

Chapter 6. Matrices and Determinants.

6.1 Matrix Solutions to Linear Systems

6.2 Inconsistent and Dependent Systems and Their Applications

6.3 Matrix Operations and Their Applications

Mid-Chapter Check Point

6.4. Multiplicative Inverses of Matrices and Matrix Equations

6.5 Determinants and Cramer's Rule

7. Conic Sections.

7.1 The Ellipse

7.2 The Hyperbola

Mid-Chapter Check Point

7.3 The Parabola

8. Sequences, Induction, and Probability.

8.1 Sequences and Summation Notation

8.2 Arithmetic Sequences

8.3 Geometric Sequences and Series

Mid-Chapter Check Point

8.4 Mathematical Induction

8.5 The Binomial Theorem

8.6 Counting Principles, Permutations, and Combinations

8.7 Probability

Appendix: Where Did That Come From? Selected Proofs.

Courses

College Algebra (Mathematics)

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Author Bios

Author Bios

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 fro Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, and Precalculus, all published by Prentice Hall.

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MyMathLab with eBook -- Instant Access -- for College Algebra: An Early Functions Approach
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©2007 | On-line Supplement; 832 pp | Access Code Required | Live
ISBN-10: 0131726072 | ISBN-13: 9780131726079
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MyMathLabPlus for College Algebra: An Early Fuctions Approach
Blitzer
©2007 | Pearson | Website; 832 pp | Live
ISBN-10: 0321693035 | ISBN-13: 9780321693037
Online purchase price: $92.00More Info

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Mini Lecture Notes for College Algebra: An Early Functions Approach
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Test Item File (Download only) for College Algebra: An Early Functions Approach
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MathXL -- Instant Access -- for College Algebra: An Early Functions Approach
Mathematics
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ISBN-10: 0131726064 | ISBN-13: 9780131726062
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MyMathLabPlus for College Algebra: An Early Fuctions Approach
Blitzer
©2007 | Pearson | Website; 832 pp | Live
ISBN-10: 0321693035 | ISBN-13: 9780321693037
Online purchase price: $92.00More Info

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MyMathLabPlus for College Algebra: An Early Fuctions Approach
Blitzer
©2007 | Pearson | Website; 832 pp | Live
ISBN-10: 0321693035 | ISBN-13: 9780321693037
Online purchase price: $92.00More Info

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Algebra Review Study Card, 2/E
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
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MyMathLabPlus for College Algebra: An Early Fuctions Approach
Blitzer
©2007 | Pearson | Website; 832 pp | Live
ISBN-10: 0321693035 | ISBN-13: 9780321693037
Online purchase price: $92.00More Info

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College Algebra: An Early Functions Approach