The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. Precalculus introduces a unit circle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. This CD reinforces important concepts, and provides students with extra practice problems.
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1 Equations and Inequalities
1-1 Linear Equations and Applications
1-2 Systems of Linear Equations and Applications
1-3 Linear Inequalities
1-4 Absolute Value in Equations and Inequalities
1-5 Complex Numbers
1-6 Quadratic Equations and Applications
1-7 Equations Reducible to Quadratic Form
1-8 Polynomial and Rational Inequalities
Chapter 1 Group Activity: Rates of Change
Chapter 1 Review
2 Graphs and Functions
2-1 Basic Tools: Circles
2-2 Straight Lines
2-3 Functions
2-4 Graphing Functions
2-5 Combining Functions
2-6 Inverse Functions
Chapter 2 Group Activity: Mathematical Modeling in Business
Chapter 2 Review
1&2 Cumulative Review Exercise
3 Polynomials and Rational Functions
3-1 Polynomial Functions and Graphs
3-2 Finding Rational Zeros of Polynomials
3-3 Approximating Real Zeros of Polynomials
3-4 Rational Functions
3-5 Partial Functions
Chapter 3 Group Activity: Interpolating Polynomials
Chapter 3 Review
4 Exponential and Logarithmic Functions
4-1 Exponential Functions
4-2 The Exponential Function with Base e
4-3 Logarithmic Functions
4-4 Common and Natural Logarithmic Functions
4-5 Exponential and Logarithmic Equations
Chapter 4 Group Activity: Growth of Increasing Functions
Chapter 4 Review
3&4 Cumulative Review Exercises
5 Trigonometric Functions
5-1 The Wrapping Function
5-2 Circular Functions
5-3 Angles and Their Measure
5-4 Trigonometric Functions
5-5 Solving Right Triangles
5-6 Graphing Basic Trigonometric Functions
5-7 Graphing y = k+A sin (Bx+C) and y=k+A cos (Bx+C)
5-8 Graphing More General Tangent, cotangent, Secant, and Cosec
5-9 Inverse Trigonometric Functions
Chapter 5 Group Activity: A predator - Prey Analysis -
Mountain L
Chapter 5 Review
6 Trigonometric Identities and Conditional E
6-1 Basic Identifies and Their Use
6-2 Sum, Difference, and Cofunction Identifies
6-3 Double-Angle and Half-Angle Identifies
6-4 Product-Sum and Sum-Product Identifies
6-5 Trigonometric Equations
Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt +C)
Chapter 6 Review
7 Additional Topics in Trigonometry
7-1 Law of Sines
7-2 Law of Cosines
7-3 Geometric Vectors
7-4 Algebraic Vectors
7-5 Polar Coordinates and Graphs
7-6 Complex Numbers in Rectangular and Polar Forms
7-7 De Moivre's Theorem
Chapter 7 Group Activity: Conic Sections and Planetary Orbits
Chapter 7 Review
5,6,&7 Cumulative Review Exercise
8 Systems of Equations and Inequalities
8-1 Systems of Linear Equations and Augmented Matrices
8-2 Gauss-Jordan Elimination
8-3 Systems Involving Second-Degree Equations
8-4 Systems of Linear Inequalities in Two Variables
8-5 Linear Programming
Chapter 8 Group Activity: Modeling with Systems of Equations
Chapter 8 Review
9 Matrices and Determinants
9-1 Matrices: Basic Operations
9-2 Inverse of a Square Matrix
9-3 Matrix Equations and Systems of Linear Equations
9-4 Determinants
9-5 Properties of Determinants
9-6 Cramer's Rule
Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit
Chapter 9 Review
8&9 Cumulative Review Exercise
10 Sequences and Series
10-1 Sequences and Series
10-2 Mathematical Induction
10-3 Arithmetic and Geometric Sequences
10-4 Binomial Formula
10-5 Multiplication Principle, Permutations, and Combinations
Chapter 10 Group Activity: Sequences Specified by Recursion
Chapter 10 Review
11 Additional Topics in Analytic Geometry
11-1 Conic Sections; Parabola
11-2 Ellipse
11-3 Hyperbola
11-4 Translation of Axes
11-5 Parametric Equations
Chapter 11 Group Activity: Focal Chords
Chapter 11 Review
10&11 Cumulative Review Exercise
Appendix A Basic Algebraic Operations
A-1 Algebra and Real Numbers
A-2 Polynomials: Basic Operations
A-3 Polynomials: Factoring
A-4 Rational Expressions: Basic Operations
A-5 Integer Exponents
A-6 Rational Exponents
A-7 Radicals
Appendix A Group Activity: Rational Number Representations
Appendix A Review
Appendix B Significant Digits
Appendix C Geometric Formulas
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