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Algebra and Trigonometry : A Graphing Approach,9780618394555

Algebra and Trigonometry : A Graphing Approach

by ; ;
Edition:
4th
ISBN13:

9780618394555

ISBN10:
0618394559
Format:
Hardcover
Pub. Date:
1/16/2004
Publisher(s):
Cengage Learning
List Price: $365.95

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Summary

As part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Algebra and Trigonometry: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This new edition, intended for algebra and trigonometry courses that require the use of a graphing calculator includes a moderate review of algebra to help students entering the course with weak algebra skills. Enhanced accessibility to students is achieved through careful writing and design, including same-page examples and solutions, which maximize the readability of the text. Similarly, side-by-side solutions show algebraic, visual, and numeric representations of the mathematics to support students\' various learning styles. New! The Library of Functions thread throughout the text provides a definition and list of characteristics for each elementary function and compares newly introduced functions to those already presented to increase students\' understanding of these important concepts. A Library of Functions Summary also appears inside the front cover for quick reference. New! Technology Support notes provided at point-of-use throughout the text guide students to the Technology Support Appendix, where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. These notes also direct students to the Graphing Technology Guide on the textbook web site for keystroke support. New! Technology Tips, also provided at point-of-use, call attention to the strengths and weaknesses of graphing technology. Some of these tips offer alternative methods for solving or checking a problem using technology. New! Because students are often misled by the jagged nature of graphs generated by graphing calculators, this text frequently highlights the path of a function in color on the calculator image. This unique design feature enables students to visualize the mathematical concepts clearly and accurately and avoid common misunderstandings. Study Tips at point-of-use throughout the text reinforce concepts and help students learn how to study mathematics. New! Checkpoint questions appear after each worked-out solution, directing students to work a similar exercise for further practice or concept reinforcement. These can be used by instructors in class to quickly check student understanding or by students to practice and study concepts. Chapter Review exercises, Chapter Tests, and periodic Cumulative Tests offer students frequent opportunities for self-assessment and help them to develop strong study- and test-taking skills. The Student Success Organizer is a valuable note-taking guide that helps students organize their class notes and create an effective study and review tool. New! Text-specific Tutorial Support is provided in numerous additional resources designed to help students succeed. These resources include live online tutoring, instructional DVDs and videos, and algorithmic tutorial support and self-assessment available on CD-ROM and the web. Explorations

Table of Contents

Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test
Prerequisites
Real Numbers
Exponents and Radicals
Polynomials and Factoring
Rational Expressions
The Cartesian Plane
Exploring Data: 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 Equations Algebraically
Solving Inequalities Algebraically and Graphically
Exploring Data: Linear Models and Scatter Plots Cumulative Test: Chapters P2
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
Exploring Data: Quadratic Models
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
Exploring Data: Nonlinear Models Cumulative Test: Chapters 34
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
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 57
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
Mathematical Induction
The Binomial Theorem
Counting Principles
Probability
Topics in Analytic Geometry
Conics
Translations of Conics
Parametric Equations
Polar Coordinates
Graphs of Polar Equations
Polar Equations of Conics Cumulative Test: Chapters 810
Technology Support Guide
Proofs of Selected Theorems
Concepts in Statistics
Measures of Central Tendency and Dispersion
Least Squares Regression
Solving Linear Equations and Inequalities
Systems of Inequalities
Solving Systems of Inequalities
Linear Programming
Table of Contents provided by Publisher. All Rights Reserved.


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