Precalculus Real Mathematics, Real People, Alternate Edition

by Larson, Ron

• ISBN13: 9781111428433
• ISBN10: 1111428433
• Edition: 6th
• Format: Hardcover
• Copyright: 2011-01-01
• Publisher: Brooks Cole

Summary

Ideal for courses that require the use of a graphing calculator, PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, Alternate Edition, 6th Edition, features quality exercises, interesting applications, and innovative resources to help you succeed. Retaining the book's emphasis on student support, selected examples include notations directing students to previous sections where they can review concepts and skills needed to master the material at hand. The book also achieves accessibility through careful writing and design--including examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its new subtitle, this significant revision focuses more than ever on showing readers the relevance of mathematics in their lives and future careers.

Table of Contents

Prerequisites

Real Numbers

Exponents and Radicals

Polynomials and Factoring

Rational Expressions

The Cartesian Plane

Representing Data Graphically

Functions And Their Graphs

Introduction to Library of Functions

Graphs of Equations

Lines in the Plane

Functions

Graphs of Functions

Shifting, Reflecting, and Stretching Graphs

Combinations of Functions

Inverse Functions

Solving Equations And Inequalities

Linear Equations and Problem Solving

Solving Equations Graphically

Complex Numbers

Solving Quadratic Equations Algebraically

Solving Other Types of Equations Algebraically

Solving Inequalities Algebraically and Graphically

Linear Models and Scatter Plots

Cumulative Test: Chapters P-2

Progressive Summary: Chapters P-2

Polynomial And Rational Functions

Quadratic Functions

Polynomial Functions of Higher Degree

Real Zeros of Polynomial Functions

The Fundamental Theorem of Algebra

Rational Functions and Asymptotes

Graphs of Rational Functions

Quadratic Models

Cumulative Test: Chapters 1-3

Exponential And Logarithmic Functions

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Nonlinear Models

Cumulative Test: Chapters 3-4

Progressive Summary: Chapters P-4

Trigonometric Functions

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

Library of Parent Functions Review

Analytic Trigonometry

Using Fundamental Identities

Verifying Trigonometric Identities

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple-Angle and Product-to-Sum Formulas

Additional Topics In Trigonometry

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Cumulative Test: Chapters 5-7

Progressive Summary: Chapters P-7

Linear Systems And Matrices

Solving Systems of Equations

Systems of Linear Equations in Two Variables

Multivariable Linear Systems

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

Sequences, Series, And Probability

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

The Binomial Theorem

Counting Principles

Probability

Topics In Analytic Geometry

Circles and Parabolas

Ellipses

Hyperbolas

Parametric Equations

Polar Coordinates

Graphs of Polar Equations

Polar Equations of Conics

Cumulative Test: Chapters 8-10

Progressive Summary: Ch P-10

Technology Support Guide

Concepts In Statistics (Web only)

Measures of Central Tendency and Dispersion

Least Squares Regression

Variation (Web only)

Solving Linear Equations And Inequalities (Web only)

Systems Of Inequalities (Web only)

Solving Systems of Inequalities

Linear Programming

Mathematical Induction (Web only)

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