Functioning in the Real World A Precalculus Experience

ISBN-10: 0201383896

ISBN-13: 9780201383898

Edition: 2nd 2004 (Revised)

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Book details

List price: $117.80
Edition: 2nd
Copyright year: 2004
Publisher: Addison Wesley
Publication date: 6/10/2003
Binding: Hardcover
Pages: 912
Size: 8.50" wide x 10.75" long x 1.00" tall
Weight: 4.444

(Each Chapter ends with a Summary and Review.)
Functions in the Real World
Functions are all around us
Describing the behavior of functions
Representing functions symbolically
Connecting geometric and symbolic representations
Mathematical models
Families of Functions
Introduction
Linear functions
Linear functions and Data
Exponential growth functions
Exponential decay functions
Logarithmic functions
Power functions
Comparing Rates of Growth and Decay
Inverse functions
Fitting Functions to Data
Introduction to Data Analysis
Linear regression analysis
Fitting nonlinear functions to data
How to fit exponential and logarithmic functions to data
How to fit power functions to data
How good is the fit? Linear models with several variables
Extended Families of Functions
Introduction to polynomial functions
The behavior of polynomial functions
Modeling with polynomial functions
The roots of polynomial equations: Real or complex? Finding polynomial patterns
Building new functions from old: Operations on Functions
Building new functions from old: Shifting, stretching, and shrinking
Using shifting and stretching to analyze data
The logistic and surge functions
Modeling with Difference Equations
Eliminating drugs from the body
Modeling with difference equations
The logistic or inhibited growth model
Newton's Laws of Cooling and Heating
Geometric sequences and their sums
Introduction to Trigonometry
The tangent of an angle
The sine and cosine of an angle
The sine, cosine and tangent in general
Relationships among trigonometric functions
The law of sines and the law of cosnes
Modeling Periodic Behavior
Introduction to the sine and cosine functions
Modeling periodic behavior with sine and cosine
Solving equations with sine and cosine
The inverse functions
The tangent function
More About the Trigonometric Functions
Relationships among trigonometric functions
Approximating sine and cosine with polynomials
Properties of complex numbers
The road to chaos
Geometric Models
Introduction to coordinate systems
Analytic geometry
Conic sections
The Ellipse
Conic sections
The Hyperbola and the Parabola
Parametric curves
The polar coordinate system
Families of curves in polar coordinates
Matrix Algebra and Its Applications
Geometric vectors
Linear models
Scalar products
Matrix multiplication
Gaussian elimination
Probability Models (online only)
Introduction to probability models
Binomial probability and the binomial formula
Using probability to investigate polynomials
Geometric probability
Estimating areas of plane regions
The normal distribution function
Waiting time at a red light
Random patterns in chaos
More About Difference Equations (online only)
Solutions of difference equations
Constructing solutions of first order difference equations
Modeling with first order, non-homogeneous difference equations
Financing a car or a home
Solving the Fibonacci and other second order difference equations
The predator-prey model
Competing species
Iteration and chaos
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