[Book Cover]

Basic College Mathematics, 1/e

K. Elayn Martin-Gay, University of New Orleans, Lakefront

Published November, 1998 by Prentice Hall Engineering/Science/Mathematics

Copyright 1999, 720 pp.
Paper
ISBN 0-13-376823-6


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Summary

This engaging introductory mathematics worktext combines a student-friendly approach, giving students ample opportunity to practice skills and to see how those skills relate to their lives and to the real world. The goals of this worktext are to: 1) ensure that students have the most up-to-date, relevant text preparation for their next math course; 2) enhance students' perception of math by exposing them to real-life situations through graphs and applications; and 3) ensure that students have an organized, integrated learning system at their fingertips. The package features the text and text-specific supplements, including Martin-Gay's acclaimed tutorial videotapes.

Features


Real-life applications—many based on real data from a variety of fields— highlight the relevance of math to various careers and life outside of class.

  • Reviewers have said these applications are unparalleled in terms of quantity, quality, degree of integration, nontrivial use of real data, variety of fields, and level of interest.
Concept Checks, skill-based margin exercises, allow students to gauge their understanding of concept as it is explained in the text.
  • These checks stress conceptual understanding of topics, help reinforce the understanding of concepts and help squash misconceptions before students move further into their study.
Chapter Activity, for individual or group projects, are hands-on or data related complement and extend the concepts in the chapter.
Integrated Reviews, appropriately placed once per chapter, allow students to review and assimilate the different skills learned separately over several sections before moving on to related material in the chapter.
  • Students have the opportunity to see mixtures of different types of problems before they see them on a test.
Mental Mathematics exercises at the beginning of some exercise sets are intuitive warm-ups that reinforce concepts and increase students' confidence before they tackle an exercise set. These mental exercises also help students gain number sense and estimation abilities.
Focus On: Appropriately placed throughout each chapter, these are divided into Focus on Study Skills, Focus on History, Focus on Mathematical Connections, Focus on the Real World, and Focus on Business and Career. They are written to further help students see the relevance of mathematics through critical thinking exercises and group activities.
Combing Concept exercises are found at the end of each exercise set and require students to combine several concepts from each section
Internet Excursions occur once per chapter and require students to use the Internet as a data-collection tool to complete the exercises, allowing students first-hand experience with manipulating/working with real data.
Chapter Highlights are found at the end of each chapter and contain key definitions, concepts, and examples to help students understand and retain what they have learned.
Classic Martin-Gay pedagogy is continued in the worktext: Chapter Openers, Pretests, Helpful Hints, Calculator Explorations, Review and Preview exercises, Chapter Reviews, Cumulative Reviews, and excellent exercise and problem sets are incorporated and influenced by Martin-Gay's hardback series.
The NCTM and AMATYC Standards are reflected in Focus On Mathematical Connections, the Four-Step Problem-Solving Process, Concept Checks and Combining Concepts exercises, Mental Mathematics, and other features of the text.


Table of Contents
    1. The Whole Numbers.

      Place Value and Names for Numbers. Adding Whole Numbers. Subtracting Whole Numbers. Rounding and Estimating. Multiplying Whole Numbers. Dividing Whole Numbers. An Introduction to Problem Solving. Exponents and Order of Operations.

    2. Multiplying and Dividing Fractions.

      Introduction to Fractions and Mixed Numbers. Factors and Prime Factorization. Simplest Form. Multiplying Fractions. Dividing Fractions.

    3. Adding and Subtracting Fractions.

      Adding and Subtracting Like Fractions. Least Common Multiple. Adding and Subtracting Unlike Fractions. Adding and Subtracting Mixed Numbers. Order, Exponents, and Order of Operations.

    4. Decimals.

      Introduction to Decimals. Order and Rounding. Adding and Subtracting Decimals. Multiplying Decimals. Dividing Decimals. Estimating and Order of Operations. Fractions and Decimals.

    5. Ratio and Proportion.

      Ratios. Rates. Proportions. Proportions and Problem Solving.

    6. Percent.

      Introduction to Percent. Percents and Fractions. Solving Percent Problems with Equations. Solving Percent Problems with Proportions. Applications of Percent. Percent and Problem Solving: Sales Tax, Commission, and Discount. Percent and Problem Solving: Interest.

    7. Measurement.

      Length: U.S. and Metric Systems of Measurement. Weight and Mass. Capacity: U.S. and Metric Systems of Measurement. Temperature. Conversion between U.S. and Metric Units. Energy: : U.S. and Metric Systems of Measurement.

    8. Geometry.

      Lines and Angles. Plane Figures and Solids. Perimeter. Area. Volume. Square Roots and the Pythagorean Theorem. Congruent and Similar Triangles.

    9. Statistics and Probability.

      Reading Pictographs, Bar Graphs, and Line Graphs. Reading Circle Graphs. Reading Histograms. Mean, Median, and Mode. Counting and Introduction to Probability.

    10. The Real Numbers.

      Signed Numbers. Adding Signed Numbers. Subtracting Signed Numbers. Multiplying and Dividing Signed Numbers. Order of Operations.

    11. Introduction to Algebra.

      Introduction to Variables. Solving Equations: The Addition Property. Solving Equations: The Multiplication Property. Solving Equations Using Addition and Multiplication Properties. Equations and Problem Solving.

    Appendix A: Addition Table and One Hundred Addition Facts.
    Appendix B: Multiplication Table and One Hundred Multiplication Facts.
    Appendix C: Review of Geometric Figures.
    Appendix D: Fraction, Decimal Equivalents Table.
    Appendix E: Table of Squares and Sqaure Roots.
    Appendix F: Compound Interest Table.
    Answers to Selected Exercises.
    Solutions to Selected Exercises.
    Index.


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