9780618492763

College Algebra A Concise Course

by ; ;
  • ISBN13:

    9780618492763

  • ISBN10:

    0618492763

  • Format: Hardcover
  • Copyright: 2/2/2005
  • Publisher: Brooks Cole
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List Price: $249.95

Summary

College Algebra: A Concise Courseprovides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage optional discovery and exploration activities that use technology and are integrated throughout the text. The Fifth Edition enhances problem solving coverage throughMake a Decisionfeatures. These features are threaded throughout each chapter, beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. This edition also features Eduspace, Houghton Mifflin's online learning tool, which allows instructors to teach all or part of a course online, and provides students with additional practice, review, and homework problems. A full version of this text,College Algebra: Concepts and Models,provides additional introductory review. New!Make a Decisionfeatures thread through each chapter beginning with the Chapter Opener application, followed by examples and exercises, and ending with the end-of-chapter project. Students are asked to choose which answer fits within the context of a problem, to interpret answers in the context of a problem, to choose an appropriate model for a data set, or to decide whether a current model will continue to be accurate in future years. The student must examine all data and decide upon a final answer. Chapter Projectsextend applications designed to enhance students understanding of mathematical concepts. Real data is previewed at the beginning of the chapter and then analyzed in detail in the Project at the end of the chapter. Here the student is guided through a set of multi-part exercises using modeling, graphing, and critical thinking skills to analyze the data. A variety of exercise typesare included in each exercise set. Questions involving skills, modeling, writing, critical thinking, problem-solving, applications, and real data sets are included throughout the text. Exercises are presented in a variety of question formats, including free response, true/false, and fill-in the blank. New!"In the News" Articlesfrom current media sources (magazines, newspapers, web sites, etc.) have been added to every chapter. Students answer questions that connect the article and the algebra learned in that section. This feature allows students to see the relevancy of what they are learning, and the importance of everyday mathematics. Discussing the Conceptactivities end most sections and encourage students to think, reason, and write about algebra. These exercises help synthesize the concepts and methods presented in the section. Instructors can use these problems for individual student work, for collaborative work or for class discussion. In many sections, problems in the exercise sets have been marked with a special icon in the instructor's edition as alternative discussion/collaborative problem. Discoveryactivities provide opportunities for the exploration of selected mathematical concepts. Students are encouraged to use techniques such as visualization and modeling to develop their intuitive understanding of theoretical concepts. These optional activities can be omitted at the instructor's discretion without affecting the flow of the material. New!Eduspace,Houghton Mifflin's online learning tool powered by Blackboard, is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content.

Table of Contents

Note: Each chapter includes an Opener
Mid-Chapter Quiz
Make a Decision Project
Summary
Review Exercises, and Test
Functions and Graphs
Graphs of Equations
Lines in the Plane
Linear Modeling and Direct Variation
Functions
Graphs of Functions
Transformations of Functions
The Algebra of Functions
Inverse Functions
Polynomial and Rational Functions
Quadratic Functions and Models
Polynomial Functions of Higher Degree
Polynomial Division
Real Zeros of Polynomial Functions
Complex Numbers
The Fundamental Theorem of Algebra
Rational Functions
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Solving Exponential and Logarithmic Equations
Exponential and Logarithmic Models Cumulative Test: Chapters 13
Systems of Equations and Inequalities
Solving Linear Systems Using Substitution
Solving Linear Systems Using Elimination
Linear Systems in Three or More Variables
Systems of Inequalities
Matrices and Determinants
Matrices and Linear Systems
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 Summation Notation
Arithmetic Sequences and Partial Sums
Geometric Sequences and Series
The Binomial Theorem
Counting Principles
Probability Cumulative Test: Chapters 46
Appendices
An Introduction to Graphing Utilities
Conic Sections
Conic Sections
Conic Sections and Translations Additional Topics Available on the Web and CD: Review Chapters Fundamental Concepts of Algebra Equations and Inequalities Optional Sections Linear Programming (to accompany Chapter 4) Mathematical Induction (to accompany Chapter 6) Optional Appendix Further Concepts in Statistics (For these additional topics and other resources, please visit math.college.hmco.com/instructors)
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