Textbook

# Algebra and Trigonometry, 2nd Edition

The new 2nd edition of Cynthia Young's Algebra & Trigonometry continues to bridge the gap between in-class work and homework by helping students overcome common learning barriers and build confidence in their ability to do mathematics.  The text features truly unique, strong pedagogy and is written in a clear, single voice that speaks directly to students and mirrors how instructors communicate in lectures.  In this revision, Young enables students to become independent, successful learners by including hundreds of additional exercises, more opportunities to use technology, and a new themed modeling project that empowers students to apply what they have learned in the classroom to the world outside the classroom.  The seamlessly integrated digital and print resources to accompany Algebra & Trigonometry 2e offer additional tools for both instructors and students in order to help students experience success.
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CHAPTER 0  PREREQUISITES AND REVIEW

0.1 Real Numbers
0.2 Integer Exponents and Scientific Notation
0.3 Polynomials: Basic Operations
0.4 Factoring Polynomials
0.5 Rational Expressions
0.7 Complex Numbers
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 1  EQUATIONS AND INEQUALITIES

1.1 Linear Equations
1.2 Applications Involving Linear Equations
1.4 Other Types of Equations
1.5 Linear Inequalities
1.6 Polynomial and Rational Inequalities
1.7 Absolute Value Equations and Inequalities
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 2  GRAPHS

2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint
2.2 Graphing Equations: Point-Plotting, Intercepts and Symmetry
2.3 Lines
2.4 Circles
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 3  FUNCTIONS AND THEIR GRAPHS

3.1 Functions
3.2 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change
3.3 Graphing Techniques: Transformations
3.4 Operation on Functions and Composition of Functions
3.5 One-to-One Functions and Inverse Functions
3.6 Modeling Functions Using Variation
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 4  POLYNOMIAL AND RATIONAL 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
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 5  EXPONENTIAL AND LOGARITHMIC FUNCTIONS

5.1 Exponential Functions and Their Graphs
5.2 Exponential Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5  Exponential and Logarithmic Models
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 6  TRIGONOMETRIC FUNCTIONS

6.1 Angles, Degrees and Triangles
6.2 Definition 1 of Trigonometric Functions: Right Triangle Ratios
6.3 Applications of Right Triangle Trigonometry: Solving Right Triangles
6.4 Definition 2 of Trigonometric Functions: Cartesian Plane
6.5 Trigonometric Functions of Non-Acute Angles
6.7 Definition 3 of Trigonometric Functions: Unit Circle Approach
6.8 Graphs of Sine and Cosine Functions
6.9 Graphs of Other Trigonometric Functions
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 7  ANALYTIC TRIGONOMETRY

7.1 Basic Trigonometric Identities
7.2 Verifying Trigonometric Identities
7.3 Sum and Difference Identities
7.4 Double-Angle Identities
7.5 Half-Angle Identities
7.6 Product-to-Sum and Sum-to-Product Identities
7.7 Inverse Trigonometric Functions
7.8 Trigonometric Equations
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 8    ADDITIONAL TOPIC IN TRIGONOMETRY

8.1 Oblique Triangles and The Law of Sines
8.2 The Law of Cosines
8.3 Area of a Triangle
8.4 Vectors
8.5 Dot Product
8.6 Polar (Trigonometric) Form of Complex Numbers
8.7 Products, Quotients, Powers and Roots of Complex Numbers
8.8 Polar Equations and Graphs
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 9  SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

9.1 Systems of Linear Equations in Two Variables
9.2 Systems of Linear Equations  in Three Variables
9.3 Partial Fractions
9.4 Systems of Linear Inequalities in Two Variables
9.5 The Linear Programming Model
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 10 MATRICES

10.1 Matrices and Systems of Linear Equations
10.2 Matrix Algebra
10.3 Matrix Equations; The Inverse of a Square Matrix
10.4 The Determinant of a Square Matrix and Cramer's Rule
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 11 ANALYTIC GEOMETRY

11.1 Conic Basics
11.2 The Parabola
11.3 The Ellipse
11.4 The Hyperbola
11.5 Systems of Nonlinear Equations
11.6 Systems of Nonlinear Inequalities
11.7 Rotation of Axes
11.8 Polar Equations of Conics
11.9 Parametric Equations and Graphs
Review
Review Exercises
Practice Test
Cumulative Test

CHAPTER 12 SEQUENCES, SERIES, AND PROBABILITY

12.1 Sequences and Series
12.2 Arithmetic Sequences and Series
12.3 Geometric Sequences and Series
12.4 Mathematical Induction
12.5 Binomial Theorem
12.6 Counting, Permutations, and Combinations
12.7 Probability
Review
Review Exercises
Practice Test
Cumulative Test

New To This Edition
• Additional questions on all Practice Tests, representing all relevant topics
• Increased number of end of section/end of chapter exercises, including more exercises at lower difficulty level
• New Modeling Your World feature: uses real world data to model mathematical applications found in everyday life
• Cumulative Tests to improve retention of the material
• Includes more applications to finance, biology, and chemistry
• Revised opening vignettes for even more relevance and interest to students
• Additional Technology Tips and Technology Exercises
• More coverage on rational exponents (Chapter 0)
• New section on applications of exponentials and logarithms (Chapter 5)
• Additional multiple (triple)angle problems to complement the double angle exercises in Chapter 7
• New section in Chapter 9: Linear Equations and Inequalities in 3D
• Discusses determinant method for all matrices (Chapter 10)
• Chapter 11 contains two new sections, Systems of Nonlinear Equations and Systems of Nonlinear Inequalities, to reinforce the graphing of conics
• Chapter 12 includes more coverage of infinite series that diverge
Hallmark Features
• Clear, Concise and Inviting Writing.   The author’s engaging and clear presentation is presented in a layout that is designed to reduce student's math anxiety.
• 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 student 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 on their 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.
• 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.
• Skills/Concepts Objectives.  Objectives are divided by skills and concepts so students learn the difference between solving problems and understanding concepts.
• 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 also.
• WileyPLUS. A powerful online tool that provides instructors and students with an integrated suite of teaching and learning resources, including an online version of the text in one easy-to-use website. To learn more about WileyPLUS, and view a demo, please visit the WileyPLUS section of our website.
Professor Reviews
"It is a great book. everything is in detail. It is a book which makes students less frustrated while reading it. It does need some graphical approach on defining the value of Trigonometry functions. Author herself has a great since of humor and welcome input by others."- Professor Mohammad Ganjizadeh, Texarkana College

"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

## Available Versions

Algebra and Trigonometry, 2nd Edition
by Cynthia Y. Young
ISBN 978-0-470-22273-7
Hardcover, 1344 pages
Algebra and Trigonometry, 2nd Edition, Binder Ready Version
by Cynthia Y. Young
ISBN 978-0-470-41818-5
Paperback, 1344 pages