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The Resource Precalculus : an investigation of functions, David Lippman, Melonie Rasmussen

Precalculus : an investigation of functions, David Lippman, Melonie Rasmussen

Creator
Author
Contributor
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
Language
eng
Work
Publication
Extent
1 online resource
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
  • "This text is licensed under a Creative Commons Attribution-Share Alike 3.0 United States License."--Title page verso
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
Instance
Label
Precalculus : an investigation of functions
Title
Precalculus
Title remainder
an investigation of functions
Statement of responsibility
David Lippman, Melonie Rasmussen
Title variation
Precalculus 1.5
Creator
Contributor
Author
Provider
Subject
Genre
Language
eng
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
Cataloging source
COF
http://library.link/vocab/creatorDate
1978-
http://library.link/vocab/creatorName
Lippman, David
LC call number
QA39.3
LC item number
.R37eb
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Rasmussen, Melonie
  • Open Textbook Library
http://library.link/vocab/subjectName
  • Precalculus
  • Precalculus
  • Precalculus
  • Mathematics
  • Mathematics
  • Precalculus
Label
Precalculus : an investigation of functions, David Lippman, Melonie Rasmussen
Instantiates
Publication
Distribution
Copyright
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
  • "This text is licensed under a Creative Commons Attribution-Share Alike 3.0 United States License."--Title page verso
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Dimensions
unknown
Extent
1 online resource
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other physical details
illustrations.
Publication frequency
Updated irregularly.
Specific material designation
remote
System control number
  • (OCoLC)953993328
  • (OCoLC)ocn953993328
Label
Precalculus : an investigation of functions, David Lippman, Melonie Rasmussen
Publication
Distribution
Copyright
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
  • "This text is licensed under a Creative Commons Attribution-Share Alike 3.0 United States License."--Title page verso
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Dimensions
unknown
Extent
1 online resource
Form of item
online
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other physical details
illustrations.
Publication frequency
Updated irregularly.
Specific material designation
remote
System control number
  • (OCoLC)953993328
  • (OCoLC)ocn953993328

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