Precalculus – Raymond Barnett, Michael Ziegler, Karl Byleen, Dave Sobecki – 7th Edition

Mathematical reform is the driving force behind the organization and development of this new text. The use of technology,primarily graphing utilities, is assumed throughout the text. The development of each topic proceeds from the concrete to the abstract and takes full advantage of technology,wherever appropriate. The major objective of this is to encourage students to investigate mathematical ideas and processes graphically and numerically,as well as algebraically.

The Barnett, Ziegler, Byleen, and Sobecki College Algebra is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for either one or two semester college algebra with trigonometry or precalculus courses, Precalculus introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts.

CHAPTER R: ALGEBRAIC OPERATIONS
R-1 Algebra and Real Numbers
R-2 Exponents and Radicals
R-3 Polynomials: Basic Operations and Factoring
R-4 Rational Expressions: Basic Operations
Chapter R Review

CHAPTER 1: EQUATIONS AND INEQUALITIES
1-1 Linear Equations and Applications
1-2 Linear Inequalities
1-3 Absolute Value
1-4 Complex Numbers
1-5 Quadratic Equations and Applications
1-6 Equations Involving Radicals
Chapter 1 Group Activity: Solving a Cubic Equation
Chapter 1 Review

CHAPTER 2: GRAPHS
2-1 Rectangular Coordinates
2-2 Distance in the Plane
2-3 Equations of a Line
2-4 Linear Equations and Models
Chapter 2 Group Activity: Rates of Average Speed
Chapter 2 Review

CHAPTER 3:
3-1 Functions
3-2 Graphing Functions
3-3 Transformations of Functions
3-4 Quadratic Functions
3-5 Combining Functions; Composition
3-6 Inverse Functions
Chapter 3 Group Activity: Mathematical Modeling – Choosing a Cell Phone Plan
Chapter 3 Review
1, 2, & 3 Cumulative Review Exercises

CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS
4-1 Polynomial Functions, Division, And Models
4-2 Real Zeros and Polynomial Inequalities
4-3 Complex Zeros and Rational Zeros of Polynomials
4-4 Rational Functions and Inequalities
4-5 Variation and Modeling
Chapter 4 Group Activity: Interpolating Polynomials
Chapter 4 Review

CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
5-1 Exponential Functions
5-2 Exponential Models
5-3 Logarithmic Functions
5-4 Logarithmic Models
5-5 Exponential and Logarithmic Equations
Chapter 5 Group Activity: Growth of Increasing Functions
Chapter 5 Review
4 & 5 Cumulative Review Exercises

CHAPTER 6: TRIGONOMETRIC FUNCTIONS
6-1 Angles and Their Measure
6-2 Trigonometric Functions: A Unit Circle Approach
6-3 Solving Right Triangles
6-4 Trigonometric Functions: Properties and Graphs
6-5 More General Trigonometric Functions
6-6 Inverse Trigonometric Functions
Chapter 6 Group Activity: A Predator-Prey Involving Mountain Lions and Deer
Chapter 6 Review

CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS
7-1 Basic Identities and Their Use
7-2 Sum, Difference, and Cofunction Identities
7-3 Double-Angle and Half-Angle Identities
7-4 Product-Sum and Sum-Product Identities
7-5 Trigonometric Equations
Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) – A Harmonic Analysis Tool
Chapter 7 Review

CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY
8-1 Law of Sines
8-2 Law of Cosines
8-3 Vectors in the Plane
8-4 Polar Coordinates and Graphs
8-5 Complex Numbers and Moivre’s Theorem
Chapter 8 Group Activity: Conic Sections and Planetary Orbits
Chapter 8 Review
6, 7, & 8 Cumulative Review Exercises

CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY
9-1 Conic Sections; Parabola
9-2 Ellipse
9-3 Hyperbola
9-4 Rotation of Axes
Chapter 9 Group Activity: Focal Chords
Chapter 9 Review

CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES
10-1 Systems of Linear Equations
10-2 Solving Systems of Linear Equations Using Gauss-Jordan Elimination
10-3 Matrix Operations
10-4 Solving Systems of Linear Equations Using Matrix Inverse Methods
10-5 Determinants and Cramer’s Rule
Chapter 10 Group Activity: Modeling with Systems of Linear Equations
10-6 Systems of Nonlinear Equations
10-7 Systems of Linear Inequalities
10-8 Linear Programming
Chapter 10 Review

CHAPTER 11: SEQUENCES AND SERIES
11-1 Sequences and Series
11-2 Mathematical Induction
11-3 Arithmetic and Geometric Sequences
11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations
11-5 Sample Spaces and Probability
11-6 Binomial Formula
Chapter 11 Group Activity: Sequences Specified by Recursion Formulas
Chapter 11 Review
9. 10, & 11 Cumulative Review Exercises

CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS
12-1 Introduction to Limits
12-2 Computing Limits Algebraically
12-3 Limits at Infinity
12-4 The Derivative
12-5 Area and Calculus
Chapter 12 Group Activity: Derivatives of Exponential and Log Functions
Chapter 12 Review

Title: Precalculus
Author: Raymond Barnett / Dave Sobecki/ Karl Byleen/ Michael Ziegler
Edition: 7th Edition
ISBN: 0073519510
Type: eBook
Language: English
Precalculus
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