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Precalculus,9780321460066
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Precalculus

by ; ;
Edition:
3rd
ISBN13:

9780321460066

ISBN10:
0321460065
Format:
Hardcover
Pub. Date:
1/1/2008
Publisher(s):
Addison Wesley

Summary

These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understand the material.

Table of Contents

R. Basic Concepts of Algebra
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
Graphs, Functions, and Models
Introduction to Graphing
Functions and Graphs
Linear Functions, Slope, and Applications
Equations of Lines and Modeling
More on 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 Equations
More Equation Solving
Solving Linear Inequalities
Polynomial and Rational Functions
Polynomial Functions and Models
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
Composite and 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
The Trigonometric Functions
Trigonometric Functions 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
Conic Sections
The Parabola
The Circle and the Ellipse
The Hyperbola
Nonlinear Systems of 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
Table of Contents provided by Publisher. All Rights Reserved.


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