Precalculus: Modeling Our World 3rd Edition (Student Edition) (Print)

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An exciting textbook, Precalculus: Modeling Our World develops mathematics through contemporary applications and mathematical modeling to motivate students. Student-centered activities engage students in explorations of important mathematical ideas. Technology, data analysis, and problem-solving strands help students develop skills necessary for success in the modern world.

In a recent independent study of textbook effectiveness that included Precalculus: Modeling Our World, John O’Meara and Ashwin Vaidya concluded:

"Thus, not only are these texts accessing a greater breadth of information, but they seem to be doing so with greater depth and significance..."

"When students are able to observe vast connections across many topics and even areas of their own lives, we believe that the classroom experience becomes a much more conducive environment to retaining information, especially as a given student moves through future mathematics courses that will assume a proper and well-tethered understanding of the material." 

This is a different precalculus text. It contains all of the topics that you would expect to find in a precalculus text and more; but it is a text written by COMAP and applications is our middle name. Thus you will see the concepts and skills of precalculus presented from an applications and modeling point of view. Moreover, this is an activity and problem-solving based book. We want students to experience the mathematics they are learning in a way that will make both the mathematics and the contemporary applications come alive.

We make serious use of graphing calculators and a variety of software, including spreadsheets and geometric utility programs. We introduce and make use of data analysis techniques. All of which permit us to analyze deeper and more meaningful problems. And we have attempted to add material that will in fact, as well as name, better prepare students for their work in calculus from our introductory work on functions to our final chapter on finite difference equations. We use a spiraling approach, coming back to earlier ideas in later chapters, so that we can keep those ideas, concepts, and skills alive, reinforcing their importance as well as providing additional practice. 

Features of the third edition:

• Higher quality color printing and paper make the book thinner.
• Updated data, references, and news articles.
• Correlation to the Common Core State Standards.
• Technology uses have been expanded to include Desmos in places.
• A single electronic teacher USB that includes the student text in PDF format as well as answers, teacher notes, blackline masters, software, and test questions.
• A supplemental chapter on probability will be available separately or as an eleventh chapter through custom publishing.
• Student materials are available in USB, Print and Webportal.

CHAPTER 1
Functions in Modeling

• Introduction
• LESSON 1.1 Functions as Models
• LESSON 1.2 Creating a Mathematical Model
• LESSON 1.3 Modeling Linear Patterns: Beginning the Tool Kit of Functions
• LESSON 1.4 Expanding the Tool Kit of Functions
• LESSON 1.5 Transformations of Functions
• LESSON 1.6 Operations on Functions
• CHAPTER 1 REVIEW
  
  CHAPTER 2
  The Exponential and Logarithmic Functions
• LESSON 2.1 Exponential Functions
• LESSON 2.2 Logarithmic Scale
• LESSON 2.3 Changing Bases
• LESSON 2.4 Logarithmic Functions
• LESSON 2.5 Modeling with Exponential and Logarithmic Functions
• LESSON 2.6 Composition and Inverses of Functions
• CHAPTER 2 REVIEW
  
  CHAPTER 3
  Polynomial Models
• LESSON 3.1 Modeling Falling Objects
• LESSON 3.2 The Merits of Polynomial Models
• LESSON 3.3 The Power of Polynomials
• LESSON 3.4 Zeroing in on Polynomials
• LESSON 3.5 Polynomial Divisions
• LESSON 3.6 Polynomial Approximations
  
  CHAPTER 4
  Trigonometric Functions
• LESSON 4.1 Oscillating Phenomena and Periodic Functions
• LESSON 4.2 The Sine Function
• LESSON 4.3 The Cosine Function
• LESSON 4.4 The Tangent and Other Functions
  
  CHAPTER 5
  Triangle Trigonometry
• LESSON 5.1 Right Triangles
• LESSON 5.2 Inverses
• LESSON 5.3 Oblique Triangles
  
  CHAPTER 6
  Coordinate Systems and Vectors
• LESSON 6.1 Polar Coordinates
• LESSON 6.2 Polar Form of Complex Numbers
• LESSON 6.3 The Geometry of Vectors
• LESSON 6.4 The Algebra of Vectors
• LESSON 6.5 Vector and Parametric Equations in Two Dimensions
• LESSON 6.6 Vector Equations in Three Dimensions
• CHAPTER 6 REVIEW
  
  CHAPTER 7
  Matrices
• LESSON 7.1 Matrix Basics
• LESSON 7.2 The Multiplicative Inverse
• LESSON 7.3 Systems of Equations in Three Variables
  
  CHAPTER 8
  Analytic Geometry
• LESSON 8.1 Analytic Geometry and Loci
• LESSON 8.2 Modeling with Circles
• LESSON 8.3 Modeling with Parabolas
• LESSON 8.4 Modeling with Ellipses
• LESSON 8.5 Modeling with Hyperbolas
• CHAPTER 8 REVIEW
  
  CHAPTER 9
  Counting and the Binomial Theorem
• LESSON 9.1 Counting Basics
• LESSON 9.2 Compound Events
• LESSON 9.3 The Binomial Theorem
  
  CHAPTER 10
  Modeling Change with Discrete Dynamical Systems
• LESSON 10.1 Modeling Change with Difference Equations
• LESSON 10.2 Approximating Change with Difference Equations
• LESSON 10.3 Numerical Solutions
• LESSON 10.4 Systems of Difference Equations

Teacher's USB
A single electronic teacher USB that includes the student text in PDF format as well as answers, teacher notes, blackline masters, software, and test questions. Product Number: #### $88.00 each. (1 FREE with every 25 books.)