Precalculus: Modeling Our World 2nd Edition CD-Rom ( Teacher Edition )
Nancy Crisler, Gary Froelich
Click here to view the Student Edition.
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.
New Features of the second edition:
• The first full-color edition.
• Updated data and news articles throughout.
• Correlation to the Common Core State Standards.
• A single electronic teacher disc 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 will be available in CD-ROM, Print and Web portal.
Functions in Modeling
Functions as Models
Creating a Mathematical Model
Modeling Linear Patterns: Beginning the Tool Kit of Functions
Expanding the Tool Kit of Functions
Transformations of Functions
Operations on Functions
CHAPTER 1 REVIEW
The Exponential and Logarithmic Functions
Modeling with Exponential and Logarithmic Functions
Composition and Inverses of Functions
CHAPTER 2 REVIEW
Modeling Falling Objects
The Merits of Polynomial Models
The Power of Polynomials
Zeroing in on Polynomials
Oscillating Phenomena and Periodic Functions
The Sine Function
The Cosine Function
The Tangent and Other Functions
Coordinate Systems and Vectors
Polar Form of Complex Numbers
The Geometry of Vectors
The Algebra of Vectors
Vector and Parametric Equations in Two Dimensions
Vector Equations in Three Dimensions
CHAPTER 6 REVIEW
The Multiplicative Inverse
Systems of Equations in Three Variables
Analytic Geometry and Loci
Modeling with Circles
Modeling with Parabolas
Modeling with Ellipses
Modeling with Hyperbolas
CHAPTER 8 REVIEW
Counting and the Binomial Theorem
The Binomial Theorem
Modeling Change with Discrete Dynamical Systems
Modeling Change with Difference Equations
Approximating Change with Difference Equations
Systems of Difference Equations