Cover image for Algebra and trigonometry : real mathematics, real people
Title:
Algebra and trigonometry : real mathematics, real people
Personal Author:
Edition:
6th ed.
Publication Information:
Belmont, CA : Brooks/Cole, Cengage Learning, c2012
Physical Description:
xii, 845, 142 p. : ill. (chiefly col.) ; 29 cm.
ISBN:
9781111428426
General Note:
Includes index
Added Author:

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30000010330617 QA154.3 L375 2012 f Open Access Book Book
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Summary

Summary

Ideal for courses that require the use of a graphing calculator, ALGEBRA AND TRIGONOMETRY: REAL MATHEMATICS, REAL PEOPLE, 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

P Prerequisites
Real Numbers
Exponents and Radicals
Polynomials and Factoring
Rational Expressions
The Cartesian Plane
Representing Data Graphically
1 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
2 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
3 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
4 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
5 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
6 Analytic Trigonometry
Using Fundamental Identities
Verifying Trigonometric Identities
Solving Trigonometric Equations
Sum and Difference Formulas
Multiple-Angle and Product-to-Sum Formulas
7 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
8 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
9 Sequences, Series, And Probability
Sequences and Series
Arithmetic Sequences and Partial Sums
Geometric Sequences and Series
The Binomial Theorem
Counting Principles
Probability
10 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
Appendix A Technology Support Guide
Appendix B Concepts In Statistics (Web only)
Measures of Central Tendency and Dispersion
Least Squares Regression
Appendix C Variation (Web only)
Appendix D Solving Linear Equations And Inequalities (Web only)
Appendix E Systems Of Inequalities (Web only)
Solving Systems of Inequalities
Linear Programming
Appendix F Mathematical Induction (Web only)