College Algebra, 2nd Edition
December 2008, ©2009
0.1 Real Numbers.
0.2 Integer Exponents and Scientific Notation.
0.3 Polynomials: Basic Operations.
0.4 Factoring Polynomials.
0.5 Rational Expressions.
0.6 Rational Exponents and Radicals.
0.7 Complex Numbers.
1. Equations and Inequalities.
1.1 Linear Equations.
1.2 Applications Involving Linear Equations.
1.3 Quadratic Equations.
1.4 Other Types of Equations.
1.5 Linear Inequalities.
1.6 Polynomial and Rational Inequalities.
1.7 Absolute Value Equations and Inequalities.
2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint.
2.2 Graphing Equations: Point-Plotting, Intercepts, and Symmetry.
3. Functions and Their Graphs.
3.2 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change.
3.3 Graphing Techniques: Transformations.
3.4 Operations on Functions and Composition of Functions.
3.5 One-to-One Functions and Inverse Functions.
3.6 Modeling Functions Using Variation.
4. Polynomial and Rational Functions.
4.1 Quadratic Functions.
4.2 Polynomial Functions of Higher Degree.
4.3 Dividing Polynomials: Long Division and Synthetic Division.
4.4 The Real Zeros of a Polynomial Function.
4.5 Complex Zeros: The Fundamental Theorem of Algebra.
4.6 Rational Functions.
5. Exponential and Logarithmic Functions.
5.1 Exponential Functions and Their Graphs.
5.2 Logarithmic Functions and Their Graphs.
5.3 Properties of Logarithms.
5.4 Exponential and Logarithmic Equations.
5.5 Exponential and Logarithmic Models.
6. Systems of Linear Equations and Inequalities.
6.1 Systems of Linear Equations in Two Variables.
6.2 Systems of Linear Equations in Three Variables.
6.3 Partial Fractions.
6.4 Systems of Linear Inequalities in Two Variables.
6.5 The Linear Programming Model.
7.1 Matrices and Systems of Linear Equations.
7.2 Matrix Algebra.
7.3 Matrix Equations; the Inverse of a Square Matrix.
7.4 The Determinant of a Square Matrix and Cramerâ s Rule.
8. Conics and Systems of Nonlinear Equations and Inequalities.
8.1 Conic Basics.
8.2 The Parabola.
8.3 The Ellipse.
8.4 The Hyperbola.
8.5 Systems of Nonlinear Equations.
8.6 Systems of Nonlinear Inequalities.
9. Sequences, Series, and Probability.
9.1 Sequences and Series.
9.2 Arithmetic Sequences and Series.
9.3 Geometric Sequences and Series.
9.4 Mathematical Induction.
9.5 The Binomial Theorem.
9.6 Counting, Permutations, and Combinations.
Answers to Odd Numbered Exercises.
Significantly Expanded Exercises: Hundreds of new exercises have been added to the second edition spanning all categories: Skills, Applications, Catch the Mistake, Conceptual, Challenge, and Technology. Several of the new applications exercises require the student to model applications.
Increased number of end of section/end of chapter exercises, including more exercises at lower difficulty level
New Modeling Your World feature: Engages students by using real world data to model mathematical applications found in everyday life.
Additional Practice Test Questions:, These questions represent all relevant topics from the chapter.
New Cumulative Test feature: Included at the end of each chapter to assess and improve students' retention of material.
Applications: The second edition includes more applications to finance, biology, and chemistry.
Revised opening vignettes: Provide increased relevance and interest to students.
Technology: Additional Technology Tips and Technology Exercises throughout.
Increased Coverage: More coverage on rational exponents found in Chapter 0.
New Ch. 6 Section: New "Linear Equations and Inequalities in 3D" section found in Chapter 6 (Systems of Linear Equations and Inequalities.)
New Ch. 7 Section: Now Discusses determinant method for all matrices.
New Chapter 8 Sections: Chapter 8 contains two new sections, Section 8.5: Systems of Nonlinear Equations and Section 8.6: Systems of Nonlinear Inequalities, to reinforce the graphing of conics.
Chapter 9 includes more coverage of infinite series that diverge.
- Clear, Concise and Inviting Writing. The author’s engaging and clear presentation is presented in a layout that is designed to reduce math anxiety in students.
- Skills/Concepts Objectives. Objectives are divided by skill and concept so students learn the difference between solving problems and understanding concepts.
- Correct vs. Incorrect. In addition to standard examples, some problems are worked both correctly and incorrectly to highlight common errors students make. Counter examples, like these, are often an effective learning approach for many students.
- Catch the Mistake. In every section, ‘Catch the Mistake’ exercises put the students in the role of the instructor grading homework which increases the depth of understanding and reinforces what they have learned.
- Your Turn. Students are often asked to work a problem immediately following an example to reinforce and check their understanding. This helps them build confidence as they progress in the chapter. These are ideal for in-class activity and preparing the student to work homework later.
- Parallel Words and Math. This text reverses the common presentation of examples by placing the explanation in words on the left and the mathematics in parallel on the right. This makes it easier for students to read through examples as the material flows more naturally and as commonly presented in lecture.
- Five Different Types of Exercises. Every chapter has skill, application, catch the mistake, challenge and technology exercises. The exercises gradually increase in difficulty and vary skill and conceptual emphasis. The challenge exercises specifically focus on assessing conceptual understanding.
- Prerequisite and Review Chapter 0. A review of prerequisite knowledge (intermediate algebra topics) is included in Chapter 0 indicating clearly to the students what knowledge and skills are necessary for success in the course.
- Review throughout the Chapter. Throughout each chapter, prerequisite concepts, i.e., LCD, long division, are reviewed as needed.
- Easy Navigation. Icons throughout the chapter make it easy to navigate through the book and supplements.
- Chapter Introduction Flow Chart and Objectives. A flow chart and chapter objectives give an overview of the chapter to help students see the big picture.
- Chapter Review Chart. A chapter review chart organizes the topics in an easy to use one-page layout. This feature includes key concepts and formulas, as well as indicating review exercises so that students can quickly summarize a chapter and study smarter.
- Author Instructional Videos. For review at home or for a class missed, each chapter has a video that includes an introduction and review. The author works some of the examples and “Your Turn” problems from the text on the videos as well.
- WileyPLUS. An online graded homework, course management and tutorial system gives students immediate feedback on their homework, saves instructors grading and course administration time, and walks students through the material step-by-step.
"This is a great textbook. It is very "readable", yet it maintains required mathematical rigor. The organization is very good, as well as the diversity of the practice problems." -Professor Aharon Dagan, SFCC
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