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Algebra and Trigonometry

by Larson, Ron

Edition:

8th

ISBN13:

9781439048474

ISBN10:

1439048479

Format:

Hardcover

Pub. Date:

1/28/2010

Publisher(s):

Brooks Cole

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Summary

This market-leading book continues to provide users with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Eighth Edition retains the features that have made Algebra and Trigonometry a complete solution for users: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

Prerequisites
Review of Real Numbers and Their Properties
Exponents and Radicals
Polynomials and Special Products
Factoring Polynomials
Rational Expressions
The Rectangular Coordinate System and Graphs
Chapter Summary
Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
Equations, Inequalities, and Mathematical Modeling
Graphs of Equations
Linear Equations in One Variable
Modeling with Linear Equations
Quadratic Equations and Applications
Complex Numbers
Other Types of Equations
Linear Inequalities in One Variable
Other Types of Inequalities
Chapter Summary
Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
Functions and Their Graphs
Linear Equations in Two Variables
Functions
Analyzing Graphs of Functions
A Library of Functions
Shifting, Reflecting, and Stretching Graphs
Combinations of Functions
Inverse Functions
Chapter Summary
Review Exercises
Chapter Test Cumulative Test: Chapters P-2
Proofs in Mathematics
P.S. Problem Solving
Polynomial Functions
Quadratic Functions and Models
Polynomial Functions of Higher Degree
Polynomial and Synthetic Division
Zeros of Polynomial Functions
Mathematical Modeling
Chapter Summary
Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
Rational Functions and Conics
Rational Functions and Asymptotes
Graphs of Rational Functions
Conics
Translations of Conics
Chapter Summary
Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
Exponential and Logarithmic Functions
Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential and Logarithmic Models
Chapter Summary
Review Exercises
Chapter Test Cumulative Test: Chapters 3-5
Proofs in Mathematics
P.S. Problem Solving
Trigonometery
Angles and Their Measure
Right Triangle Trigonometry
Trigonometric Functions of Any Angle
Graphs of Sine and Cosine Functions
Graphs of Other Trigonometric Functions
Inverse Trigonometric Functions
Applications and Models
Chapter Summary
Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
Analytic Trigonometry
Using Fundamental Identities
Verifying Trigonometric Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Multiple-Angle and Product-to-Sum Formulas
Chapter Summary
Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
Additional Topics in Trigonometry
Law of Sines
Law of Cosines
Vectors in the Plane
Vectors and Dot Products
Trigonometric Form of a Complex Number
Chapter Summary
Review Exercises
Chapter Test Cumulative Test: Chapters 6-8
Proofs in Mathematics
P.S. Problem Solving
Systems of Equations and Inequalities
Linear and Nonlinear Systems of Equations
Two-Variable Linear Systems
Multivariable Linear Systems
Partial Fractions
Systems of Inequalities
Linear Programming
Chapter Summary
Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
Matrices and Determinants
Matrices and Systems of Equations
Operations with Matrices
The Inverse of a Square Matrix
The Determinant of a Square Matrix
Applications of Matrices and Determinants
Chapter Summary
Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
Sequences, Series, and Probability
Sequences and Series
Arithmetic Sequences and Partial Sums
Geometric Sequences and Series
Mathematical Induction
The Binomial Theorem
Counting Principles
Probability
Chapter Summary
Review Exercises
Chapter Test Cumulative Test: Chapters 9-11
Proofs in Mathematics
P.S. Problem Solving
Errors and the Algebra of Calculus
Concepts in Statistics (WEB)
Representing Data
Measures of Central Tendency and Dispersion
Least Squares Regression
Alternative/Expanded Version of Chapter P (WEB)
Operations with Real Numbers
Properties of Real Numbers
Algebraic Expressions
Operations with Polynomials
Factoring Polynomials
Factoring Trinomials
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