College Algebra,
13th Edition

Chapter R. A REVIEW OF BASIC ALGEBRA.
Sets of Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Polynomials and Additional Properties of Radicals. Factoring. Rational Expressions. Chapter Review. Chapter Test. Group Activity: Anesthesiology.
1. EQUATIONS AND INEQUALITIES.
Linear Equations and Rational Equations. Applications of Linear and Rational Equations. Complex Numbers. Quadratic Equations. Applications of Quadratic Equations. Radical Equations and Equations Quadratic in Form. Linear, Compound, Quadratic, and Rational Inequalities. Absolute Value Equations and Inequalities. Chapter Review. Chapter Test. Cumulative Review. Group Activity: Health and Body Mass Index.
2. FUNCTIONS AND GRAPHS.
Functions and Functional Notation. Rectangular Coordinate System and Linear Functions. Slope and Its Applications. Writing Equations of Lines. Graphs of Equations and Circles. Proportion and Variation. Chapter Review. Chapter Test. Group Activity: Average Velocity.
3. FUNCTIONS.
Graphs of Functions. Transformations of the Graphs of Functions. More on Functions; Piecewise-Defined Functions. Combinations of Functions and Function Composition. Inverse functions. Chapter Review. Chapter Test. Cumulative Review. Group Activity: Cryptography and Cybersecurity.
4. POLYNOMIAL AND RATIONAL FUNCTIONS.
Quadratic Functions. Polynomial Functions. Synthetic Division; Remainder and Factor Theorems. Fundamental Theorem of Algebra and Descartes’ Rule Signs. Zeros of Polynomial Functions. Rational Functions. Chapter Review. Chapter Test. Group Activity: Polynomial Function Trending.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Applications of Exponential Functions. Logarithmic Functions and Their Graphs. Applications of Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Review. Chapter Test. Cumulative Review. Group Activity: Group Activity - Installment Loans.
6. SYSTEMS OF LINEAR EQUATIONS, MATRICES, AND INEQUALITIES.
Systems of Linear Equations. Using Matrices to Solve Systems of Linear Equations. Matrix Operations. Multiplicative Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rule. Partial Fractions. Inequalities and Systems of Inequalities in Two Variables. Linear Programming. Chapter Review. Chapter Test. Group Activity: Vacation Budget.
7. CONIC SECTIONS AND SYSTEMS OF NONLINEAR EQUATIONS.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Review. Chapter Test. Cumulative Review. Group Activity: Suspension Bridges.
8. SEQUENCES, SERIES, INDUCTION AND PROBABILITY.
The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences and Series. Geometric Sequences and Series. Mathematical Induction. Fundamental Counting Principle, Permutations, and Combinations. Introduction to Probability. Chapter Review. Chapter Test. Group Activity: Lottery Mathematics.
APPENDIX I A PROOF OF THE BINOMIAL THEOREM.

• R. David Gustafson

  R. David Gustafson is professor emeritus of mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA; INTERMEDIATE ALGEBRA; BEGINNING AND INTERMEDIATE ALGEBRA; BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH; and the Tussy/Gustafson and Tussy/Gustafson/Koenig Developmental Mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in the American Mathematical Association of Two-Year Colleges (AMATYC) as a Midwest vice president. He has also served as president of IMACC, AMATYC's Illinois affiliate. Professor Gustafson earned a master of arts from Rockford College in Illinois as well as a master of science from Northern Illinois University.

• Jeff Hughes

  Jeffrey Hughes is Curriculum Coordinator of Mathematics at Hinds Community College and holds degrees from Mississippi College and the University of Mississippi. He has been teaching for more than 30 years at Hinds Community College (CC). Professor Hughes' favorite courses to teach include college algebra, calculus II and differential equations. He has a passion for mathematics, a heart for teaching and sees teaching as a privilege. He consistently finds new ways to present topics while engaging students and elevating student thinking. Professor Hughes is coauthor of COLLEGE ALGEBRA and PRECALCULUS, published by Cengage. He has received Hinds CC’s Outstanding Academic Instructor of the Year Award and Hinds CC’s Phi Theta Kappa’s Teacher of the Year Award twice. He was honored by the Mississippi Legislature for his commitment to education and was given the HEADWAE award. Professor Hughes is also active in the American Mathematical Association of Two-Year Colleges (AMATYC) and its Louisiana-Mississippi affiliate, LaMsMATYC, in which he has served as president. He is also active in the Mississippi Collegiate Mathematics Association (MCMA) and has served as president of this organization twice. At Hinds CC, he also teaches leadership in the Honors Institute. Professor Hughes has worked part-time for more than 25 years as a student minister at his church and has spent seven summers teaching English in China.

• NEW GETTING READY EXERCISES PREPARE STUDENTS FOR SUCCESS IN THE PRACTICE OPPORTUNITIES AHEAD: These just-in-time review exercises appear at the beginning of each exercise set and ensure students have the skills necessary to complete the practice exercises successfully.

• NEW FIX IT EXERCISES STRENGTHEN PROBLEM-SOLVING SKILLS: These exercises deepen students' problem-solving skills by demonstrating a common mistake and asking students to identify the error, fix it and then correctly complete the problem using proven strategies.

• NEW LEARN IT MODULES ADDRESS STUDENTS' KNOWLEDGE GAPS: Offering scaffolded help, Learn It modules provide just-in-time instruction that meets students' diverse learning styles. Learn Its provide immediate, targeted instruction and practice for a topic. Explanations include clear narratives, videos and tutorials -- all in one place.

• NEW FOCUS ON ACTIVE LEARNING EMPHASIZES THE RELEVANCE OF WHAT STUDENTS ARE LEARNING: A chapter application or activity at the end of each chapter enables students to explore topics in greater depth and apply mathematics concepts to real life. These interactive applications or activities are available in this edition's accompanying WebAssign online resource and can be assigned individually or as group work.

• NEW, CLEAR STRATEGIES SHINE THROUGH THE LATEST EXAMPLES: This edition pursues a distinct example structure throughout the chapters with an emphasis on problem-solving. The authors identify and clearly state a strategy for solving each problem.

• NEW LOOKING AHEAD TO CALCULUS ONLINE MODULES PREPARE STUDENTS FOR FUTURE MATHEMATICS SUCCESS: These interactive modules with WebAssign digital resources prepare STEM students for ongoing success in their math courses. Modules preview and clarify key calculus concepts that students will encounter as they progress.

• ENGAGING APPLICATIONS DRAW STUDENT ATTENTION TO THE SECTION'S CONTENT: Each section begins with an engaging, contemporary photo and real-life application that captures the reader's attention and encourages interest in the section's content. In addition, this approach emphasizes the relevance of mathematics in today's world.

• HELPFUL LEARNING SUPPORT DIRECTS STUDENTS IN SUCCESSFUL PROCEDURES AND STRATEGIES: Helpful Take Note boxes highlight particularly important information and often clarify a specific step, concept or theory in an example. In addition, Tip boxes, many with visual representations, offer insights and strategies for effectively studying and mastering key content.

• LEARNING TOOLS STRENGTHEN STUDENTS' PROBLEM-SOLVING SKILLS: Special Strategy boxes focus on the best problem-solving techniques and steps that enable students to build on their mathematical reasoning and approach problems with confidence. A Self-Check exercise at the end of each example actively reinforces student understanding of concepts and example solutions.

• COMPREHENSIVE EXERCISE SETS PROVIDE A BREADTH OF PRACTICE OPPORTUNITIES TO REINFORCE LEARNING: This title is known for offering a wide range of exercises that progress from routine practice to more challenging tasks. Students work with Getting Ready, Vocabulary and Concepts, Practice, Applications, Discovery and Writing and Critical Thinking exercises as they strengthen their understanding.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

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