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College Algebra, 3/E
ISBN-10: 0321466071
ISBN-13: 9780321466075
Publisher: Pearson
Copyright: 2008
Format: Cloth; 800 pp
Published: 01/05/2007
Description
Features
- Functions Early and Integrated: Functions are introduced right away in Chapter 1 to get students interested in a new topic. Equations and expressions are reviewed in the second chapter showing their connection to functions. This approach engages students from the start and gives them a taste of what they will learn in this course, instead of starting out with a review of concepts learned in previous courses.
- Algebraic Visual Side-by-Sides: Examples are worked out both algebraically and visually to increase student understanding of the concepts. Additionally, seeing these solutions side-by-side helps students make the connection between algebraic manipulation and the graphical interpretation.
- Zeros, Solutions, and x-Intercepts Theme: This theme allows students to reach a new level of mathematical comprehension through connecting the concepts of the real zeros of the function, the solutions of the associated equation, and the x-coordinates of the x-intercept of the graph of the function.
- Technology Connection: In each chapter, optional Technology Connections guide students in the use of the graphing calculator as another way to check problems.
- Review Icon: These notes reference an earlier, related section where a student can go to review a concept being used in the current section.
- Study Tips: These occasional, brief reminders appear in the margin and promote effective study habits such as good note taking and exam preparation.
- Connecting the Concepts: Comprehension is streamlined and retention is maximized when the student views a concept in a visual form, rather than a paragraph. Combining design and art, this feature highlights the importance of connecting concepts. Its visual aspect invites the student to stop and check that he or she has understood how the concepts within a section or several sections work together.
- Visualizing the Graph: This feature asks students to match an equation with its graph. This focus on visualization and conceptual understanding appears in every chapter to help students see “the big picture.”
- Vocabulary Review: Appearing once per chapter in the Skill Maintenance portion of an exercise set, this feature checks and reviews students' understanding of the language of mathematics.
- Classify the Function: With a focus on conceptual understanding, students are asked to identify a number of functions by their type (i. e., linear, quadratic, rational, and so forth). As students progress through the text, the variety of functions they know increases and these exercises become more challenging. These exercises appear with the review exercises in the Skill Maintenance portion of an exercise set.
New To This Edition
The Beecher, Penna, and Bittinger team seriously considers the valuable input of the many instructors and students using College Algebra. The result is a text that is more accessible for students and easier to teach with for instructors.
- A new section, R.7 (The Basics of Equation Solving) was added so that students would be prepared for equation solving before Chapter 1.
- Section 3.1 has been split into two sections 3.1 (Polynomial Functions and Models) and 3.2 (Graphing Polynomial Functions) to make this material easier to teach in two single class periods.
- An expanded Section 6.4 now includes nonlinear inequalities.
- Introductions of select key concepts have been revised using 'plain English' before precise mathematical definitions are given.
By reworking a number of pedagogical features, the authors have made College Algebra a more effective teaching and learning tool.
- The chapter openers, as well as a host of applications throughout the book, have been updated and improved for increased relevance to students.
- Each example now ends with a suggestion to Now Try a related exercise, giving students the opportunity to immediately test their comprehension of the material they have just learned.
- The popular Visualizing the Graph feature, introduced in the previous edition, is now extended to selected exercise sets.
Table of Contents
Chapter R Basic Concepts of Algebra
R.1 The Real-Number System
R.2 Integer Exponents, Scientific Notation, and Order of Operations
R.3 Addition, Subtraction, and Multiplication of Polynomials
R.4 Factoring
R.5 Rational Expressions
R.6 Radical Notation and Rational Exponents
R.7 The Basics of Equation Solving
Chapter 1 Graphs, Functions, and Models
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions, Slope, and Applications
1.4 Equations of Lines and Modeling
1.5 More on Functions
1.6 The Algebra of Functions
1.7 Symmetry and Transformations
Chapter 2 Functions, Equations, and Inequalities
2.1 Linear Equations, Functions, and Models
2.2 The Complex Numbers
2.3 Quadratic Equations, Functions, and Models
2.4 Analyzing Graphs of Quadratic Functions
2.5 More Equation Solving
2.6 Solving Linear Inequalities
Chapter 3 Polynomial And Rational Functions
3.1 Polynomial Functions and Models
3.2 Graphing Polynomial Functions
3.3 Polynomial Division; The Remainder and Factor Theorems
3.4 Theorems about Zeros of Polynomial Functions
3.5 Rational Functions
3.6 Polynomial and Rational Inequalities
3.7 Variation and Applications
Chapter 4 Exponential and Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions and Graphs
4.3 Logarithmic Functions and Graphs
4.4 Properties of Logarithmic Functions
4.5 Solving Exponential and Logarithmic Equations
4.6 Applications and Models: Growth and Decay, and Compound Interest
Chapter 5 Systems of Equations and Matrices
5.1 Systems of Equations in Two Variables
5.2 Systems of Equations in Three Variables
5.3 Matrices and Systems of Equations
5.4 Matrix Operations
5.5 Inverses of Matrices
5.6 Determinants and Cramer's Rule
5.7 Systems of Inequalities and Linear Programming
5.8 Partial Fractions
Chapter 6 Conic Sections
6.1 The Parabola
6.2 The Circle and the Ellipse
6.3 The Hyperbola
6.4 Nonlinear Systems of Equations and Inequalties
Chapter 7 Sequences, Series, and Combinatorics
7.1 Sequences and Series
7.2 Arithmetic Sequences and Series
7.3 Geometric Sequences and Series
7.4 Mathematical Induction
7.5 Combinatorics: Permutations
7.6 Combinatorics: Combinations
7.7 The Binomial Theorem
7.8 Probability
Appendix: Basic Concepts from Geometry
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Beecher, Penna & Bittinger
©2012 | Pearson | Cloth; 800 pp | Instock
ISBN-10: 032169399X | ISBN-13: 9780321693990
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Author Bios
Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University - Purdue University Indianapolis. In addition to her career in textbook publishing, she spends time traveling, enjoying her grandchildren, and promoting charity projects for a children's camp.
Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University - Purdue University Indianapolis and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit and spend time with her children.
Marvin Bittinger For over thirty-eight years, Professor Marvin L. Bittinger has been teaching math at the university level. Since 1968, he has been employed at Indiana University - Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.
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