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Print and open access digital edition available now!The first edition of Contemporary Precalculus through Applications was published in 1993, well before the widespread use of computers in the classroom. Collaborating with students and teachers across the state, faculty from the North Carolina School of Science and Mathematics (NCSSM) have steadily developed, reviewed, and tested the textbook in the years since. It is the sole textbook used in NCSSM precalculus courses.The first edition of Contemporary Precalculus through Applications was published in 1993, well before the widespread use of computers in the classroom. Collaborating with students and teachers across the state, faculty from the North Carolina School of Science and Mathematics (NCSSM) have steadily developed, reviewed, and tested the textbook in the years since. It is the sole textbook used in NCSSM precalculus courses. This third edition contains extensively updated data, graphics, and material attuned to contemporary technology while keeping what made the book so revolutionary when it was first published—a focus on real-world problem solving and student discovery. This edition will prepare students to learn mathematics in the following major areas:· Data analysis and linear regression· Functions: linear, polynomial, rational, exponential, logarithmic, parametric, and trigonometric· Modifying functions through transformations and compositions· Recursive systems and sequences· Modeling real-world phenomenon and applicationsAn open access edition of this book is available at cpta.ncssm.edu, along with supplementary materials and other information. Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarterpre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of,and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, aswell as the important characteristics needed in calculus. The second portion of the book introduces trigonometry. Trig is introduced through an integrated circletriangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisted more extensively in the third chapter. As with thefirst part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation. In addition to the paper homework sets, algorithmically generated online homework is available as part of a complete course shell package, whichalso includes a sample syllabus, teacher notes with lecture examples, sample quizzes and exams, printable classwork sheets and handouts, and chapter review problems. If you teach in Washington State, you can find the course shell in the WAMAP.org template course list. For those located elsewhere,you can access the course shell at MyOpenMath.com. A self-study version of the online course exercises is also available on MyOpenMath.com for students wanting to learn the material on their own, or who need a refresher. The whole book or individual chapters are available for download below, or you can order a bound printed copy from Lulu.com or Amazon. If you are providing a link to students or a bookstore to purchase printed copies of the book, please direct them to this page. If you are an instructorand are using this book with your class, please drop us an email so we can track use and keep youupdated with changes. Errata (errors). Any errors reported will be cataloged here. ContentsBookDetailed SolutionsWhole Book - 2nd EditionFull book: PDF HTML, Lulu or Amazon ISBN: 978-1955576000Chp 1-4: PDF, Lulu or Amazon ISBN: 978-1548407124Chp 5-9: PDF, Lulu or Amazon ISBN: 978- PDFFront MatterPDF DOCX Chapter 1: Functions 1.1 Functions and Function Notation 1.2 Domain and Range 1.3 Rates of Change and Behavior of Graphs 1.4 Composition of Functions 1.5 Transformation of Functions 1.6 Inverse Functions PDF DOCXPDF DOCX Chapter 2: Linear Functions 2.1 Linear Functions 2.2 Graphs of Linear Functions 2.3 Modeling with Linear Functions 2.4 Fitting Linear Models to Data 2.5 Absolute Value Functions PDF DOCXPDF DOCXChapter 3: Polynomial and Rational Functions 3.1 Power Functions & Polynomial Functions 3.2 Quadratic Functions 3.3 Graphs of Polynomial Functions 3.4 Factor and Remainder Theorem 3.5 Real Zeros of Polynomials 3.6 Complex Zeros 3.7 Rational Functions 3.8 Inverses and Radical Functions PDF DOCXPDF DOCXChapter 4: Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Graphs of Exponential Functions 4.3 Logarithmic Functions 4.4 Logarithmic Properties 4.5 Graphs of Logarithmic Functions 4.6 Exponential and Logarithmic Models 4.7 Fitting Exponentials to Data PDF DOCXPDF DOCXChapter 5: Trigonometric Functions of Angles 5.1 Circles 5.2 Angles 5.3 Points on Circles using Sine and Cosine 5.4 The Other Trigonometric Functions 5.5 Right Triangle Trigonometry PDF DOCXPDF DOCXChapter 6: Periodic Functions 6.1 Sinusoidal Graphs 6.2 Graphs of the Other Trig Functions 6.3 Inverse Trig Functions 6.4 Solving Trig Equations 6.5 Modeling with Trigonometric Equations PDF DOCXPDF DOCXChapter 7: Trigonometric Equations and Identities 7.1 Solving Trigonometric Equations with Identities 7.2 Addition and Subtraction Identities 7.3 Double Angle Identities 7.4 Modeling Changing Amplitude and Midline PDF DOCXPDF DOCXChapter 8: Further Applications of Trigonometry 8.1 Non-right Triangles: Law of Sines and Cosines 8.2 Polar Coordinates 8.3 Polar Form of Complex Numbers 8.4 Vectors 8.5 Dot Product 8.6 Parametric Equations PDF DOCXPDF DOCXChapter 9: Conics 9.1 Ellipses 9.2 Hyperbolas 9.3 Parabols and Non-Linear Systems 9.4 Conics in Polar Coordinates PDF DOCXPDF DOCXAnswers to Selected Exercises PDF DOCXIndexPDF DOCX Text last updated: July 2022. Latest Edition: 2.3.Accessibility Note: The Word files contain equations in Equation Editor format, and graphs and images have alt-text in the primary text, but not the exercises. A screen reader friendly HTML version of the book can be read on LibreTextsThis work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.The detailed solutions manual was contributed by Shoreline Community College and Evergreen State College, and is licensed under a Creative Commons Attribution-NonCommercial ShareAlike License. Note on versions: The links above will redirect you to the latest edition of the chapters. Older versions remain on the website, and can be accessed using direct links to the specific editions file name, like http: 1.pdf Note: On June 5, 2017, Edition 2.0 was released. The links below point to this, the most current version. This revision is not page number or section equivalent to the previous 1.x editions. If you are looking for the original first edition (black cover), please go here
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