[Book Cover]

Basic College Mathematics, 3/e

Jeffrey Slater, North Shore Community College
John Tobey, North Shore Community College

Published August, 1997 by Prentice Hall Engineering/Science/Mathematics

Copyright 1998, 608 pp.
Paper
ISBN 0-13-743634-3


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Summary

Suitable for Basic College Mathematics courses including lecture-based classes, discussion oriented classes, self-paced classes, mathematics labs, and computer or audio-visual supported learning centers. This clear, accessible treatment of basic college mathematics features an enhanced problem-solving strategy highlighted by A Mathematics Blueprint for Problem Solving that helps students determine where to begin the problem-solving process, as well as how to plan subsequent problem-solving steps. Also includes Step-by-Step Procedure, realistic Applications, and Cooperative Learning Activities in Putting Your Skills to Work.

Features


NEW—15% new exercises, written to ensure smooth transition from confidence-building to more rigorous within each exercise set and to ensure correct matching of even and odd-numbered exercises.
NEW—30% new applications, written to incorporate more interesting, real-world data in order to increase student interest and help students apply math learned in the classroom to the world around them.
NEW—80% new Putting Your Skills to Work applications, written to encourage students to explore mathematics in the world around them using an increased number of current, sourced data. Pg. 57, 153, 198
NEW—Internet Connections are found at the end of every Putting Your Skills to Work page. Through the Prentice hall website (www.prenhall.com/tobey), students will link to appropriate Internet addresses where they will gather data necessary to complete the problem. Pg. 57, 153, 198
NEW—An updated 4-color design that incorporates many graphs and charts to help students learn to read, analyze and interpret the types of data they see presented in many newspapers and magazines. FEATURES
A Mathematical Blueprint for Problem Solving provides a Step-by-Step strategy that helps students carry out and implement problem solving. This technique can be applied to solving single and multi-step problems, applications and non-routine exercises. Especially appropriate for first time problem solving situations. Pg. 73-75, 156
Calculator Boxes - scientific calculator boxes appear in the margin and exercises best solved with a calculator are indicated by a calculator icon. Pg. 191, 363, 365
A Diagnostic Pretest covers the entire course. Pg. xiii
Provides a section on estimation (section 1.7) and encourages students to use estimation skills throughout the text as a way to check applications solutions. Pg. 66-69, 154, 365, 419
Realistic, relevant applications appear in each chapter's Examples and Exercises. 30 % of the applications are new and incorporate more real-world data. Students see the uses of what they are learning right in front of them and are able to apply it. Pg. 227, 343
Putting Your Skills to Work are full page applications, 80 % - 90 % of which are new. Pg. 270, 276

  • Each page application includes problems for both individual and group exploration. Pg. 57, 153, 198
  • Each application includes an optional “Internet Connection” problem in which students are encouraged to link to various websites in order to get information for problem solving. Pg. 57, 153, 198
  • Cooperative Learning: The problems that are included involve critical thinking skills that can be applied to answer the many open response questions that are throughout the Putting Your Skills to Work sections.
  • Putting Your Skills to Work Applications are consistent with AMATYC and NCTM Standards.
Developing Your Study Skills were written to help students develop winning study habits that will benefit them in all their courses, not just in mathematics. Pg. 18, 46, 128, and throughout.
Examples and exercises have been carefully chosen to guide students through Basic College Mathematics. Each example is followed by a Practice Problem.
  • Chapter Pretests: each chapter opens with a concise pretest to familiarize the student with the learning objectives for that particular chapter.
  • Practice Problems: these are found throughout the chapter, after the examples, and are designed to provide your students with immediate practice of the skills presented. Solutions to the Practice Problems are provided in the Selected Answer section at the end of the text.
  • To Think About: these critical thinking questions follow many of the examples in the text and also appear in the exercise sets. Designated by a special heading, they extend the concept being taught; providing the opportunity for students to look for patterns, and to make conclusions based on their previous experience. Pg. 189, 395, 439
  • Exercise Sets: 15 % brand new exercises help to ease the students into problems; and answers provide students with immediate feedback.
  • Verbal and Writing exercises have been included at the beginning of many exercise sets. Pg. 100, 350
  • Cumulative Review Problems: each exercise set concludes with a section of Cumulative Review Problems. These problems review topics previously covered within that particular chapter, and are included to assist students in retaining the material. Pg. 117, 289
  • Technology Problems: Technology boxes in the margin of text have been updated to reflect relevance to the material presented. A few graphing calculator boxes and exercises have been added and incorporated into this edition. In the exercise section a calculator icon is used to indicate problems that are designed for solving with a calculator. Pg. 343, 431
Chapter Organizers: The concepts and mathematical procedures covered in each chapter is reviewed at the end of the chapter in a Chapter Organizer. It not only lists concepts and methods, but provides a completely worked out example for each type of problem. Pg. 449, 325
  • Review Problems: these problems are organized by section for quick review at the end of the chapter. These problems can also be used by the student as a quiz of the chapter material. Pg. 328, 453
  • Tests: found at the end of the chapter, the Chapter Test is a representative review of the material from that particular chapter that simulates an actual test. This provides the students with a gauge to their preparedness for the actual examination. Pg. 331, 459
  • Cumulative Tests: at the end of each chapter, beginning with Chapter 2, is a Cumulative Test. One-half of the content of each Cumulative Test is based on the math concepts learned in previous chapters. By completing these tests for each chapter, the students build confidence that they have mastered not only the contents of the present chapter but of the previous chapters as well. Pg. 333, 461
John or Jeff will be glad to talk with you or any potential faculty adopters. You can reach them at the college at (508) 762-4000 ext. 5585 or on email at johntobey@aol.com or jeffslater@aol.com. Feel free to call or email them with any questions or requests for help. They will be glad to personally assist you.


Table of Contents
(Note: Each chapter begins with a Pretest and concludes with a Chapter Organizer, Review Problems, Chapter Test and Cumulative Test.)
    Preface.
    Acknowledgments.
    Diagnostic Pretest.
    1. Whole Numbers.

      Understanding Whole Numbers. Addition of Whole Numbers. Subtraction of Whole Numbers. Multiplication of Whole Numbers. Division of Whole Numbers. Putting Your Skills To Work: Buying Or Leasing a Car. Exponents and Order of Operations. Rounding and Estimation. Applied Problems.

    2. Fractions.

      Understanding Fractions. Simplifying Fractions. Improper Fractions and Mixed Numbers. Multiplication of Fractions and Mixed Numbers. Division of Fractions and Mixed Numbers. The Least Common Denominator and Building up Fractions. Addition and Subtraction of Fractions. Addition and Subtraction of Mixed Numbers. Putting Your Skills To Work: Farming on the Halves. Applied Problems Involving Fractions.

    3. Decimals.

      Decimal Notation. Compare, Order, and Round Decimals. Addition and Subtraction of Decimals. Putting Your Skills To Work: Personal Checking Account. Multiplication of Decimals. Division of Decimals. Converting Fractions to Decimals and Order of Operations. Applied Problems Using Decimals.

    4. Ratio and Proportion.

      Ratios and Rates. The Concept of Proportions. Solving Proportions. Applications of Proportions. Putting Your Skills To Work: How Crowded Is This City? Putting Your Skills To Work: College Budget Problems.

    5. Percent.

      Understanding Percent. Changing Between Percents, Decimals, and Fractions. (A)Solving Percent Problems Using an Equation. (B)Solving Percent Problems Using a Proportion. Solving Applied Percent Problems. Putting Your Skills To Work: Percentages of Beverages Consumed in the U.S..

    6. Measurement.

      American Units. Metric Measurements: Length. Metric Measurements: Volume and Weight. Conversion of Units (Optional). Putting Your Skills To Work: The Mathematics of Computer Capacity. Applied Problems.

    7. Geometry.

      Rectangles and Squares. Parallelograms and Trapezoids. Angles and Triangles. Square Roots. The Pythagorean Theorem. Circles. Volume. Putting Your Skills To Work: The Mathematical Detective. Similar Geometric Figures. Applications Of Geometry.

    8. Statistics.

      Circle Graphs. Bar Graphs and Line Graphs. Putting Your Skills to Work: The Aging of America's Trucks. Histograms. Mean and Median.

    9. Signed Numbers.

      Addition of Signed Numbers. Subtraction of Signed Numbers. Multiplication and Division of Signed Numbers. Order of Operations with Signed Numbers. Putting Your Skills to Work: Mathematics of Universal Time. Scientific Notation.

    10. Introduction to Algebra.

      Variables and Like Terms. The Distributive Property. Solve Equations Using the Addition Property. Solve Equations Using the Division or Multiplication Property. Solve Equations Using Two Properties. Putting Your Skills to Work: Using Mathematics to Predict Population Increases. Translating English to Algebra. Applications.

    Practice Final Examination.
    Glossary.
    Appendix A: Tables: Basic Addition Facts. Basic Multiplication Facts. Prime Factors. Square Roots.
    Appendix B: The Use of a Scientific Calculator.
    Solutions to Practice Problems.
    Selected Answers.
    Index of Applications.
    Subject Index.


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