Algebra and Trigonometry, 5th Edition
By Cynthia Young
WileyPLUS for Cynthia Young’s Algebra & Trigonometry, 5^{th} Edition allows students to take the guesswork out of studying by providing them with an easy to read and clear roadmap: what to do, how to do it, and whether they did it right. With this revision, Cynthia Young revised the text with a focus on the most difficult topics in Algebra & Trigonometry, with a goal to bring more clarity to those learning objectives. Cynthia Young’s Algebra & Trigonometry, 5^{th} Edition is written in a voice that speaks to students and mirrors how instructors communicate in lecture. Young’s hallmark pedagogy enables students to become independent, successful learners. Key features like “Parallel Words and Math” are now brought to life in WileyPLUS with assignable interactive animations. The new Corequisite Support appendices allow students at all skill levels to succeed.
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New Corequisite Support Appendices
New Corequisite support material has been added as a digital appendix to support corequisite courses. The comprehensive coverage of prerequisite topics ranges from prealgebra through intermediate algebra, including stepbystep instructional worksheets that can be used inside or outside of the classroom, and an ample selection of homework and/or quiz exercises for each topic. Utilizing WileyPLUS, you can customize the corequisite topics and truly cater to your individual course needs.
Symbolic and Graphing Quesitons
New in WileyPLUS, symbolic and graphing questions powered by GeoGebra give instructors the ability to assign more complex autograded questions to improve conceptual understanding in math. Boost your homework assessments with flexible, accurate, and reliable symbolic palette entry and realtime manipulation of graphs.
WileyPLUS users will have bestinclass math assessment with:
– Numerical randomization to ensure each student gets a different question
– Automatically graded questions with fully worked solutions
– Accessible and mobile ready graphing questions
Author Lecture Videos
Cynthia Young’s over 270 instructional videos mirror the instructor’s voice outside the classroom. The Cynthia Young Lecture Videos provide worked examples of the most difficult concepts in each chapter and section of the course.
What’s New
 New symbolic and graphing questions powered by GeoGebra give instructors the ability to assign more complex autograded questions to improve conceptual understanding in math.
 Interactive animations are now available with assignable questions to keep students engaged on the topic and reinforce understanding of key concepts
 New and updated examples and problems were developed with a focus on equity and equality and to provide relevancy for today’s student.
 New problems have been added to exercise sets to expand the number of medium difficulty problems, providing ample question coverage across all difficulty levels.
 Updated Inquiry Based Learning and Modeling our World projects have been added to EVERY chapter providing relevant realworld applications for modeling and discovery projects.
 New Corequisite support material has been added as a digital appendix to support corequisite courses. The comprehensive coverage of prerequisite topics ranges from prealgebra through intermediate algebra, including stepbystep instructional worksheets that can be used inside or outside of the classroom, and an ample selection of homework and/or quiz exercises for each topic.
 New TestGen computerized test bank allows for quick creation of algorithmic quizzes or tests. TestGen provides a variety of question types and also allows instructors to create their own questions.
 Algorithmic Test Bank Questions have been added to the WileyPLUS question bank.
Cynthia Y. Young is the Founding Dean of the College of Science and Professor of Mathematical and Statistical Sciences at Clemson University and the author of College Algebra, Trigonometry, Algebra and Trigonometry, and Precalculus. She holds a BA in Secondary Mathematics Education from the University of North Carolina (Chapel Hill), an MS in Mathematical Sciences from the University of Central Florida (UCF), and both an MS in Electrical Engineering and a PhD in Applied Mathematics from the University of Washington. She has taught high school in North Carolina and Florida, developmental mathematics at Shoreline Community College in Washington, and undergraduate and graduate students at UCF.
Prior to her leadership role at Clemson, Dr. Young was a Pegasus Professor of Mathematics and the Vice Provost for Faculty Excellence and UCF Global at the University of Central Florida (UCF). Dr. Young joined the faculty at UCF in 1997 as an assistant professor of mathematics, and her primary research area was the mathematical modeling of the atmospheric effects on propagating laser beams. Her atmospheric propagation research was recognized by the Office of Naval Research Young Investigator Award, and in 2007 she was selected as a fellow of the Society of PhotoOptical Instrumentation Engineers (SPIE). Her secondary area of research centers on improving student learning in mathematics. She has authored or coauthored over 60 books and articles and has served as the principal investigator or coprincipal investigator on projects with more than $5 million in federal funding. Dr. Young was on the team at UCF that developed the UCF EXCEL program, which was originally funded by the National Science Foundation to support the increase in the number of students graduating with a degree in science, technology, engineering, and mathematics (STEM). The EXCEL learning community approach centered around core mathematics courses has resulted in a significant increase in STEM graduation rates and has been institutionalized at UCF.
 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
 0.6 Rational Exponents and Radicals
 0.7 Complex Numbers
 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
 Graphs
 2.1 Basic Tools: Cartesian Plane, Distance, And Midpoint
 2.2 Graphing Equations, PointPlotting, Intercepts, And Symmetry
 2.3 Lines
 2.4 Circles
 2.5 Linear Regression: Best Fit
 Functions and Their Graphs
 3.1 Functions
 3.2 Graphs of Functions; PiecewiseDefined 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 OneToOne Functions and Inverse Functions
 3.6 Modeling Functions Using Variation
 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
 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
 Trigonometric Functions
 6.1 Angles, Degrees, And Triangles
 6.2 Definition of Trigonometric Functions: Right Triangle Ratios
 6.3 Applications of Right Triangle Trigonometry: Solving Right Triangles
 6.4 Definition of Trigonometric Functions: Cartesian Plane
 6.5 Trigonometric Functions of Nonacute Angles
 6.6 Radian Measure and Applications
 6.7 Definition of Trigonometric Functions: Unit Circle Approach
 6.8 Graphs of Sine and Cosine Functions
 6.9 Graphs of Other Trigonometric Functions
 Analytic Trigonometry
 7.1 Basic Trigonometric Identities
 7.2 Verifying Trigonometric Identities
 7.3 Sum and Difference Identities
 7.4 DoubleAngle Identities
 7.5 HalfAngle Identities
 7.6 ProductToSum and SumToProduct Identities
 7.7 Inverse Trigonometric Functions
 7.8 Trigonometric Equations
 Additional Topics in Trigonometry
 8.1 Oblique Triangles and The Law of Sines
 8.2 The Law of Cosines
 8.3 The Area of a Triangle
 8.4 Vectors
 8.5 The Dot Product
 8.6 Polar (Trigonometric) Form of Complex Numbers
 8.7 Products, Quotients, Powers, And Roots of Complex Numbers; De Moivre’s Theorem
 8.8 Polar Equations and Graphs
 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
 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
 Analytic Geometry and Systems of Nonlinear Equations and Inequalities

 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
 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 The Binomial Theorem
 12.6 Counting, Permutations, And Combinations
 12.7 Probability