| Edition |
Edition 1.5. |
| Description |
1 online resource : illustrations. |
| Current Frequency |
Updated irregularly. |
| Description |
data file rda |
| Series |
Open textbook library |
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Open Textbook Library.
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| Note |
"This is the fifth official version of Edition 1. It contains typo corrections and language clarification, but is page number and problem set number equivalent to the original Edition 1"--Title page verso. |
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"This text is licensed under a Creative Commons Attribution-Share Alike 3.0 United States License."--Title page verso. |
| Summary |
"Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-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, as well as the important characteristics needed in calculus. The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation. In addition to the paper homework sets, algorithmetically generated online homework is available as part of a complete course shell package, which also 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."--Open Textbook Library. |
| System Details |
Mode of access: World Wide Web. |
| Note |
This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license. |
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Online version, edition 1.5, 2015; title from PDF (viewed on July 26, 2016). |
| Contents |
Functions. Session 1.1. Functions and function notation -- Section 1.2. Domain and range -- Section 1.3. Rates of change and behavior of graphs -- Section 1.4. Composition of functions -- Section 1.5. Transformation of functions -- Section 1.6. Inverse functions. Linear functions. Section 2.1. Linear functions -- Section 2.2. Graphs of linear functions -- Section 2.3. Modeling with linear functions -- Section 2.4. Fitting linear models to data -- Section 2.5. Absolute value functions. Polynomial and rational functions. Section 3.1. Power functions and polynomial functions -- Section 3.2. Quadratic functions -- Section 3.3. Graphs of polynomial functions -- Section 3.4. Rational functions -- Section 3.5. Inverse and radical functions. Exponential and logarithmic functions. Section 4.1. Exponential functions -- Section 4.2. Graphs of exponential functions -- Section 4.3. Logarithmic functions -- Section 4.5. Graphs of logarithmic functions -- Section 4.6. Exponential and logarithmic models -- Section 4.7. Fitting exponentials to data. Trigonometric functions of angles. Section 5.1. Circles -- Section 5.2. Angles -- Section 5.3. Points on circles using sine and cosine -- Section 5.4. The other trigonometric functions -- Section 5.5. Right triangle trigonometry. Periodic functions. Section 6.1. Sinusoidal graphs -- Section 6.2. Graphs on the other trig functions -- Section 6.3. Inverse trig functions -- Section 6.4. Solving trig equations -- Section 6.5. Modeling with trigonometric equations. Trigonometric equations and identities. Section 7.1. Solving trigonometric equations with identities -- Section 7.2. Addition and subtraction of identities -- Section 7.3. Double angle identities -- Section 7.4. Modeling changing amplitude and midline. Further applications of trigonometry. Section 8.1. Non-right triangles: law of sines and cosines -- Section 8.2. Polar coordinates -- Section 8.3. Polar form of complex numbers -- Section 8.4 Vectors -- Section 8.5 Parametric equations. -- Solutions to selected exercises. Chapter 1 -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Chapter 8. |
| Local Note |
Promoted: Local to Global Cooperative Open Textbook Library |
| Subject |
Precalculus.
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Precalculus -- Problems, exercises, etc.
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Precalculus -- Textbooks.
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Mathematics -- Study and teaching.
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Mathematics -- Study and teaching. (OCoLC)fst01012236
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Precalculus. (OCoLC)fst01746854
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| Genre/Form |
Problems and exercises. (OCoLC)fst01423783
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Textbooks. (OCoLC)fst01423863
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Textbooks.
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| Added Author |
Rasmussen, Melonie, author.
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| Added Title |
Precalculus 1.5 |
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