Precalculus: Graphical, Numerical, Algebraic, 11th Edition, AP Edition © 2024
Franklin Demana | Bert Waits | Gregory Foley | Daniel Kennedy | Rachel Gorsuch | Steve Phelps
This program aligns perfectly with the College Board's latest Advanced Placement mathematics course, which emphasizes functions, modeling, multiple representations, and the appropriate use of technology. In this edition, AP® Precalculus introduces the dynamic covariation of quantities, also known as change in tandem. The authors have expanded the content to include topics such as concavity, semi-log plots, rate of change, and parametric functions. Additionally, optional material on functions involving vectors and matrices has been included in Unit 4 specifically for AP® preparation. With the goal of providing the best resources available for this new course, both the book and the accompanying MyMathLab® for School course have been meticulously crafted by the authors.
To enhance AP® test preparation and integrate it into the student experience, several new resources have been added:
- AP® Test Prep in section-level homework: This includes exercises such as multiple-choice and "Answer and Explain" questions. The aim is to develop students' ability to articulate their thinking and gradually prepare them for free-response questions.
- AP® Test Prep Quick Quizzes: These quizzes appear every 2-3 sections and consist of both multiple-choice and free-response questions.
- AP® Test Prep end-of-chapter quizzes: These comprehensive quizzes assess all the skills learned in the chapter and feature both multiple-choice and free-response questions.
- Chapter Challenge investigative activities: Introduced at the beginning of each chapter, these multi-part activities progressively build upon each part.
- Group Activities: Added to sections in Chapters 1-7, these activities promote collaborative learning among students. They are strategically placed right before exercise sets.
- Function Spotlight: This feature provides crucial information about specific functions, including new concepts such as concavity, which are aligned with the AP® Precalculus Guidelines.
- AP® Test Prep exercises: These exercises are now incorporated into every exercise set in Chapters 1-7.
MyMathLab® for School is a comprehensive teaching and learning platform designed to support educators in reaching every student. With a combination of trusted author content, including a complete eTextbook and online homework with instant feedback, along with a range of digital tools and a flexible platform, it enables a personalized learning experience that leads to improved results for each student. By harnessing the power of MyMathLab for School, educators can empower their students and create an engaging and effective learning environment.
Exciting new features in MyMathLab for School:
- AP® Test Prep exercises: Assign exercises directly from the textbook to help students prepare for the AP® exam.
- GeoGebra Graphing Exercises: These exercises are now gradable, letting students demonstrate their understanding by directly interacting with graphs, like graphing on paper. Interactive Figures have been added to support teaching and learning, illustrating key concepts and enabling manipulation.
- AP® Precalculus Test Prep Workbook: This workbook offers unit-by-unit practice and two full sample exams. Comprehensive solutions with helpful learning tips are included, allowing students to learn from their mistakes.
- Study Slides (PowerPoint): Designed for studying, these slides cover every section of the text. They are fully screen-reader accessible, ensuring accessibility for all students.
- New Instructional Videos: Exclusive to this program, these high-definition videos have been segmented into shorter parts for easy navigation. Closed captioning and audio descriptions make them accessible to all students.
- Handwritten Examples: Based on research, students prefer examples that are worked out by hand. This program includes handwritten examples to provide a clear and effective learning experience.
PRE-AP UNIT 0: EXPECTED PRIOR KNOWLEDGE AND SKILLS*
CHAPTER 0: Prerequisites
1. Real Numbers
2. Cartesian Coordinate System
3. Linear Equations and Inequalities
4. Lines in the Plane
5. Solving Equations
6. Complex Numbers
7. Solving Systems of Equations
8. Solving Inequalities
*An asterisk (*) indicates that a unit, section, or subsection contains material that is not in Units 1–4 of the AP® Precalculus Course Framework.
AP UNIT 1 FUNCTIONS, POLYNOMIAL FUNCTIONS, AND RATIONAL FUNCTIONS
CHAPTER 1: Functions and Their Properties
1. Modeling and Equation Solving
2. Function Behavior
3. Twelve Basic Functions
4. Building Functions from Functions
5. Parametric Functions and Inverse Functions
6. Graphical Transformations
7. Modeling with Functions
CHAPTER 2: Polynomial and Rational Functions
1. Function Families, Linear Functions, and Linear Models
2. Quadratic Functions and Modeling
3. Polynomial Functions and Modeling
4. Real Zeros of Polynomial Functions
5. Complex Zeros and the Fundamental Theorem of Algebra
6. Rational Functions and Their Graphs
7. Rational Equations, Inequalities, and Modeling
AP UNIT 2 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
CHAPTER 3: Exponential and Logarithmic Functions
1. Arithmetic and Geometric Sequences
2. Arithmetic and Geometric Sequences
3. Exponential Functions Exponential Modeling
4. Logarithmic Functions
5. Properties of Logarithmic Functions
6. Logarithmic Scaling and Semi-Log Plots
7. Equation Solving and Modeling
AP UNIT 3 TRIGONOMETRIC AND POLAR FUNCTIONS
CHAPTER 4: Trigonometric Functions
1. Angles and Their Measures
2. Trigonometry of Acute Angles
3. The Trigonometric Functions Extended
4. Graphs of Sine and Cosine: Sinusoids
5. Tangent, Cotangent, Secant, and Cosecant
6. Graphs of Composite Trigonometric Functions
7. Inverse Trigonometric Functions
CHAPTER 5: Equivalent Trigonometric Representations and Polar Functions
1. Fundamental Identities
2. Proving Trigonometric Identities*
3. Sum and Difference Identities
4. The Laws of Sines and Cosines
5. Polar Coordinates and the Complex Plane
6. Polar Functions and Their Graphs
AP UNIT 4 FUNCTIONS INVOLVING PARAMETERS, VECTORS, AND MATRICES
CHAPTER 6: Vectors, Parametric Functions, and Conic Sections
1. Vectors in the Plane
2. Parametric and Implicit Functions Revisited
3. Conic Sections and a New Look at Parabolas
4. Circles and Ellipses
5. Hyperbolas
CHAPTER 7 Linear Transformations and Matrix-Vector Functions
1. Matrix Algebra
2. Linear Transformations and Matrices
3. Linear Transformations of the xy-Plane
4. Transition Matrices and Modeling
POST-AP UNIT 5 AN INTRODUCTION TO CALCULUS*
CHAPTER 8: Limits, Derivatives, and Integrals
1. Limits and Motion: The Tangent Problem
2. Limits and Motion: The Area Problem
3. More on Limits
4. Numerical Derivatives and Integrals
APPENDIX ALGEBRA REVIEW
1. Radicals and Rational Exponents
2. Polynomials and Factoring
3. Fractional Expressions
Bibliography
Glossary
Selected Answers
Index of Applications
Index
Franklin D. Demana
The Ohio State University
Frank Demana holds a master's and Ph.D. in mathematics from Michigan State University and serves as Professor Emeritus of Mathematics at The Ohio State University. He is highly involved in promoting the use of technology for teaching and learning mathematics and is a co-founder of the international Teachers Teaching with Technology (T3) professional development program. Dr. Demana has played a significant role in securing over $10 million in grants from the National Science Foundation (NSF) and other organizations. He has also been actively presenting at professional conferences and has written many articles on computer- and calculator-enhanced mathematics instruction. Additionally, he co-founded the International Conference on Technology in Collegiate Mathematics (ICTCM) alongside Bert Waits. Dr. Demana has been recognized for his leadership and contributions to mathematics education, receiving prestigious awards such as the Glenn Gilbert National Leadership Award in 1997, the Christofferson-Fawcett Mathematics Education Award in 1998, and the National Council of Teachers of Mathematics (NCTM) Lifetime Achievement Award in 2015.
Bert K. Waits
The Ohio State University
Bert Waits, Ph.D., obtained his doctorate from The Ohio State University and served as Professor Emeritus of Mathematics there. He played a pivotal role as a co-founder of the international Teachers Teaching with Technology (T3) professional development program and held positions as co-director and principal investigator for various notable projects funded by the National Science Foundation. With over 70 articles published in esteemed professional journals, Dr. Waits was recognized as an authority in the field. He frequently delivered invited lectures, workshops, and minicourses at national conferences organized by the Mathematical Association of America and the National Council of Teachers of Mathematics (NCTM), focusing on leveraging computer technology to enhance mathematics education. Dr. Waits received the Glenn Gilbert National Leadership Award from the National Council of Supervisors of Mathematics in 1997 and co-founded the ICTCM alongside Frank Demana. He also received the Christofferson-Fawcett Mathematics Education Award from the Ohio Council of Teachers of Mathematics in 1998 and was honored with the NCTM Lifetime Achievement Award in 2015. Notably, Dr. Waits was one of the six authors of the influential 1989 NCTM Standards for the high school curriculum.
Gregory D. Foley
Ohio University
Greg Foley holds a B.A. and M.A. in mathematics and a Ph.D. in mathematics education from The University of Texas at Austin. Currently, he serves as the Robert L. Morton Professor of Mathematics Education at Ohio University. Dr. Foley has an extensive teaching background, ranging from elementary arithmetic to graduate-level mathematics and mathematics education courses. Throughout his career, he has held faculty positions at esteemed institutions such as North Harris County College, Austin Community College, The Ohio State University, Sam Houston State University, and Appalachian State University. Additionally, he has taken on leadership roles as the Director of the Liberal Arts and Science Academy and Senior Scientist for Secondary School Mathematics Improvement for the Austin Independent School District in Austin, Texas. Dr. Foley's expertise has been widely recognized, as he has delivered over 400 lectures, workshops, and institutes across the United States, and has directed or co-directed more than 60 funded projects totaling over $5 million internationally. He has made significant contributions to the field through publishing over 50 book chapters and journal articles. In recognition of his achievements, Dr. Foley has received several prestigious awards, including the biennial American Mathematical Association of Two-Year Colleges (AMATYC) Award for Mathematics Excellence in 1998, the annual Teachers Teaching with Technology (T3) Leadership Award in 2005, Ohio University's Patton College award for distinguished graduate teaching in 2013, and the Ohio Council of Teachers of Mathematics Kenneth Cummins Award for exemplary mathematics teaching at the university level in 2015.
Daniel Kennedy
Baylor School
Dan Kennedy earned his undergraduate degree from the College of the Holy Cross and completed his master's and Ph.D. in mathematics at the University of North Carolina at Chapel Hill. Since 1973, he has been a mathematics educator at the Baylor School in Chattanooga, Tennessee, where he currently holds the prestigious Cartter Lupton Distinguished Professorship. Dr. Kennedy's contributions to the field are noteworthy. In 1986, he joined the Advanced Placement® Calculus Test Development Committee and made history in 1990 by becoming the first high school teacher in 35 years to chair the committee. During his tenure, Dr. Kennedy played a pivotal role in implementing the use of graphing calculators, which laid the foundation for the 1998 reform of the Advanced Placement Calculus curriculum. He authored the 1997 Teacher's Guide—AP® Calculus and has conducted over 50 workshops and institutes for high school calculus teachers. Dr. Kennedy's expertise in mathematics education is evident through his published articles in esteemed journals such as the Mathematics Teacher and the American Mathematical Monthly. He is a sought-after speaker on education reform, addressing professional and civic gatherings. In recognition of his accomplishments, Dr. Kennedy was named a Tandy Technology Scholar in 1992 and received the Presidential Award in 1995.
Rachael Gorsuch
Teays Valley High School
Rachael Gorsuch is a dedicated mathematics teacher at Teays Valley High School in Ashville, Ohio, where she teaches grades 9-12. With over 17 years of teaching experience in diverse educational settings including rural public schools, suburban independent schools, and inner-city charter schools, Rachael has developed a strong passion for helping students engage with mathematics through modeling and technology. Her teaching expertise spans across middle school and high school levels, covering subjects such as precalculus, AP® Statistics, quantitative reasoning, algebra 2, geometry, algebra 1, physics, and middle school math. Rachael holds a B.S. degree in mathematics from Muskingum University and an M.A.T. degree in STEM education from The Ohio State University. She has actively collaborated with researchers from various universities on mathematics education research, particularly in teaching mathematical modeling. Since 2012, Rachael has been sharing her knowledge and expertise by presenting on mathematical modeling and technology at conferences and conducting workshops.
In recognition of her outstanding contributions to secondary mathematics teaching, Rachael received the Buck Martin Award for exemplary teaching from the Ohio Council of Teachers of Mathematics in 2019. She was also honored with Muskingum University's Emerging Leader Award for Social Responsibility in 2018. As a Teachers Teaching withTechnology Regional Instructor, Rachael continues to empower educators in integrating technology into their teaching practices. Rachael coauthored Ohio's Mathematical Modeling and Reasoning course for the Ohio Department of Education, further demonstrating her commitment to advancing mathematics education in her state.
Steve Phelps
Mariemont City Schools
Steve Phelps is an experienced educator who has dedicated his career to teaching and coaching in southwest Ohio. Currently, he serves as a mathematics and computer science teacher and an instructional mathematics and technology coach for Mariemont City Schools in Cincinnati, Ohio. Steve holds a B.S. degree in secondary mathematics education and an M.A.T. degree from the University of Cincinnati. With over 30 years of teaching experience in grades 7-12, Steve has taught a wide range of subjects, from pre-algebra to AP courses including Calculus, Statistics, Computer Science, and Computer Science Principles. In addition to his classroom teaching, he has over 15 years of experience teaching education and mathematics courses at the University of Cincinnati and the University of Cincinnati's Blue Ash College.
Steve's expertise extends beyond the classroom. He has authored or co-authored over 20 journal articles and has delivered more than 100 presentations and workshops, focusing on the intelligent use of educational technology in mathematics. In recognition of his exceptional contributions to secondary mathematics teaching, Steve received the Buck Martin Award from the Ohio Council of Teachers of Mathematics in 2016. He is also a Teacher's Teaching with Technology National Instructor, a Code.org facilitator, a Desmos Teaching Fellow, and a GeoGebra author. Steve coauthored the book Advanced Quantitative Reasoning: Mathematics for the World Around Us, showcasing his commitment to developing educational resources that empower students in real-world mathematical applications.
This program is available in a variety of formats. You can review the individual prices for each ISBN in our catalog. All access codes are for use by 1 student, for 1 course, for up to 1 year, and are non-transferable.
| Format | ISBN-13 |
|---|---|
| Student edition |
9780138049324 |
| Student edition + MathXL for School (1-year access) |
9780138049133 |
| Student edition + MathXL for School (6-year access) | 9780138049195 |
| Student edition + MyMathLab for School with Pearson eTextbook (1-year access) | 9780138049249 |
| Student edition + MyMathLab for School with Pearson eTextbook (6-year access) | 9780138049263 |
| Annotated teacher's edition | 9780138049355 |
| AP test prep workbook | 9780138049409 |
| MyMathLab for School with Pearson eTextbook (1-year access) | 100% digital solution. Access code is delivered via email. | 9780132962377 |
| MyMathLab for School with Pearson eTextbook (6-year access) | 100% digital solution. Access code is delivered via email. | 9780132962391 |
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