9780201616743

Precalculus : Graphs and Models

by
  • ISBN13:

    9780201616743

  • ISBN10:

    0201616742

  • Edition: 2ND
  • Copyright: 2/5/2002
  • Publisher: Benjamin-Cummings Publishing Company
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Summary

Precalculus: Graphs and Models, 2/e covers college-level algebra and trigonometry and is appropriate for a one- or two-term, graphing required, precalculus course. A course in intermediate algebra is a prerequisite for the text, although Chapter R provides sufficient review to unify the diverse backgrounds of most students. The approach of this text is more interactive than most precalculus texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible.

Table of Contents

The Real-Number System
Integer Exponents, Scientific Notation, and Order of Operations
Addition, Subtraction, and Multiplication of Polynomials
Factoring
Rational Expressions
Radical Notation and Rational Exponents
The Basics of Equation Solving
Graphs, Functions, and Models
Introduction to Graphing
Functions and Graphs
Linear Functions, Slope, and Applications
Equations of Lines and Modeling
More on Functions
The Algebra of Functions
Symmetry and Transformations
Functions, Equations, and Inequalities
Linear Equations, Functions, and Models
The Complex Numbers
Quadratic Equations, Functions, and Models
Analyzing Graphs of Quadratic Functions
More Equation Solving
Solving Linear Inequalities
Polynomial and Rational Functions
Polynomial Functions and Models
Graphing Polynomial Functions
Polynomial Division The Remainder and Factor Theorems
Theorems about Zeros of Polynomial Functions
Rational Functions
Polynomial and Rational Inequalities
Variation and Applications
Exponential and Logarithmic Functions
Inverse Functions
Exponential Functions and Graphs
Logarithmic Functions and Graphs
Properties of Logarithmic Functions
Solving Exponential and Logarithmic Equations
Applications and Models: Growth and Decay Compound Interest
The Trigonometric Functions
Trigonometric Function of Acute Angles
Applications of Right Triangles
Trigonometric Functions of Any Angle
Radians, Arc Length, and Angular Speed
Circular Functions: Graphs and Properties
Graphs of Transformed Sine and Cosine Functions
Trigonometric Identities, Inverse Functions, and Equations
Identities: Pythagorean and Sum and Difference
Identities: Cofunction, Double-Angle, and Half-Angle
Proving Trigonometric Identities
Inverses of the Trigonometric Functions
Solving Trigonometric Equations
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Complex Numbers: Trigonometric Form
Polar Coordinates and Graphs
Vectors and Applications
Vector Operations
Systems of Equations and Matrices
Systems of Equations in Two Variables
Systems of Equations in Three Variables
Matrices and Systems of Equations
Matrix Operations
Inverses of Matrices
Determinants and Cramer's Rule
Systems of Inequalities and Linear Programming
Partial Fractions
Analytic Geometry Topics
The Parabola
The Circle and the Ellipse
The Hyperbola
Nonlinear Systems of Equations and Inequalities
Rotation of Axes
Polar Equations of Conics
Parametric Equations
Sequences, Series, and Combinatorics
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Mathematical Induction
Combinatorics: Permutations
Combinatorics: Combinations
The Binomial Theorem
Probability
Appendix
Basic Concepts of Geometry
Table of Contents provided by Publisher. All Rights Reserved.

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