Basic College Mathematics / Edition 4

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Overview

Real-life applications— unparalleled in terms of quantity, quality, degree of integration, nontrivial use of real data, variety of fields, and level of interest, and many based on real data from a variety of fields— highlight the relevance of math to various careers. The Whole Numbers, Multiplying and Dividing Fraction, Adding and Subtracting Fractions, Decimals, Ratio and Proportion, Percent, Statistics and Probability, Measurement, Geometry, The Real Numbers, Introduction to Algebra. Includes approximately 550 worked examples, and 4000 exercises. For a variety of business, science, math, and technology careers.
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Editorial Reviews

From The Critics
This text provides a foundation in basic college mathematics, covering whole numbers, fractions and decimals, ratio and proportion, percent, and measurement, and introducing geometry, statistics and probability, and algebra. Emphasis is on applications, interpretation, problem solving, writing, use of technology, and critical thinking. Learning features include worked examples following a four-step process of understanding, translation, solving, and interpretation. This second edition contains new material on study skills integrated throughout, and an increased integration of geometry concepts. The author teaches mathematics at the University of New Orleans. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Booknews
An introductory textbook for students needing math in non-mathematical courses. The author covers standard math topics from place value and adding; through statistics and geometry, to basic algebra. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780321649409
  • Publisher: Pearson
  • Publication date: 9/27/2010
  • Edition description: New Edition
  • Edition number: 4
  • Pages: 912
  • Sales rank: 249,124
  • Product dimensions: 5.80 (w) x 8.90 (h) x 1.30 (d)

Meet the Author

Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.

Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”–as they prepare for a test–along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.

Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.

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Table of Contents

1. The Whole Numbers

1.1 Tips for Success in Mathematics

1.2 Place Value, Names for Numbers, and Reading Tables

1.3 Adding Whole Numbers and Perimeter

1.4 Subtracting Whole Numbers

1.5 Rounding and Estimating

1.6 Multiplying Whole Numbers and Area

1.7 Dividing Whole Numbers

Integrated Review–Operations on Whole Numbers

1.8 An Introduction to Problem Solving

1.9 Exponents, Square Roots, and Order of operations

Group Activity

Vocab Check

Highlights

Review

Test

2. Multiplying and Dividing Fractions

2.1 Introduction to Fractions and Mixed Numbers

2.2 Factors and Prime Factorization

2.3 Simplest Form of a Fraction

Integrated Review–Summary on Fractions, Mixed Numbers, and Factors

2.4 Multiplying Fractions and Mixed Numbers

2.5 Dividing Fractions and Mixed Numbers

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

3. Adding and Subtracting Fractions

3.1 Adding and Subtracting Like Fractions

3.2 Least Common Multiple

3.3 Adding and Subtracting Unlike Fractions

Integrated Review–Operations on Fractions and Mixed Numbers

3.4 Adding and Subtracting Mixed Numbers

3.5 Order, Exponents, and the Order of Operations

3.6 Fractions and Problem Solving

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

4. Decimals

4.1 Introduction to Decimals

4.2 Order and Rounding

4.3 Adding and Subtracting Decimals

4.4 Multiplying Decimals and Circumference of a Circle

Integrated Review–Operations on Decimals

4.5 Dividing Decimals and Order of Operations

4.6 Fractions and Decimals

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

5. Ratio and Proportion

5.1 Ratios

5.2 Rates

Integrated Review–Ratio and Rate

5.3 Proportions

5.4 Proportions and Problem Solving

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

6. Percent

6.1 Introduction to Percent

6.2 Percents and Fractions

6.3 Solving Percent Problems Using Equations

6.4 Solving Percent Problems Using Proportions

Integrated Review–Percent and Percent Problems

6.5 Applications of Percent

6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount

6.7 Percent and Problem Solving: Interest

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

7. Measurement

7.1 Length: U.S. and Metric Systems of Measurement

7.2 Weight and Mass: U.S. and Metric Systems of Measurement

7.3 Capacity: U.S. and Metric Systems of Measurement

Integrated Review–Length, Weight and Capacity

7.4 Conversions Between the U.S. and Metric Systems

7.5 Temperature: U.S. and Metric Systems of Measurement

7.6 Energy: U.S. and Metric Systems of Measurement

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

8. Geometry

8.1 Lines and Angles

8.2 Plane Figures and Solids

8.3 Perimeter

8.4 Area

8.5 Volume

Integrated Review–Geometry Concepts

8.6 Square Roots and the Pythagorean Theorem

8.7 Congruent and Similar Triangles

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

9. Statistics and Probability

9.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs

9.2 Reading Circle Graphs

Integrated Review–Reading Graphs

9.3 Mean, Median and Mode

9.4 Counting and Introduction to Probability

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

10. Signed Numbers

10.1 Signed Numbers

10.2 Adding Signed Numbers

10.3 Subtracting Signed Numbers

Integrated Review–Signed Numbers

10.4 Multiplying and Dividing Signed Numbers

10.5 Order of Operations

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

11. Introduction to Algebra

11.1 Introduction to Variables

11.2 Solving Equations: The Addition Property

11.3 Solving Equations: The Multiplication Property

Integrated Review–Expressions and Equations

11.4 Solving Equations Using Addition and Multiplication Properties

11.5 Equations and Problem Solving

Group Activity

Vocab Check

Highlights

Review

Test

Cumulative Review

Appendices

Appendix A: Tables

Appendix B: Unit Analysis

Student Resources

Study Skills Builders

Bigger Picture–Study Guide Outline

Practice Final Exam

Answers to Selected Exercises

Solutions to Selected Exercises

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Preface

About This Book

Basic College Mathematics Second Edition was written to provide a solid foundation in the basics of college mathematics, including the topics of whole numbers, fractions, decimals, ratio, and proportion, percent, and measurement as well as introductions to geometry, statistics and probability, and algebra topics. Specific care was taken to ensure that students have the most up-to-date relevant text preparation for their next mathematics course or for nonmathematical courses that require an understanding of algebraic fundamentals. I have tried to achieve this by writing a user-friendly text that is keyed to objectives and contains many worked-out examples. As suggested by the AMATYC Crossroads Document and the NCTM Standards (plus Addenda), real-life and real-data applications, data interpretation, conceptual understanding, problem solving, writing, cooperative learning, appropriate use of technology, mental mathematics, number sense, critical thinking, and geometric concepts are emphasized and integrated throughout the book.

The many factors that contributed to the success of the first edition have been retained. In preparing the Second Edition, I considered comments and suggestions of colleagues, students, and many users of the prior edition throughout the country.

Basic College Mathematics, Second Edition is part of a series of texts that can include Introductory Algebra, Second Edition; Prealgebra, Third Edition; Intermediate Algebra, Second Edition; and a combined text Algebra A Combined Approach, Second Edition. Throughout the series pedagogical features are designed todevelop student proficiency in algebra and problem solving, and to prepare students for future courses.

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Introduction

About This Book

Basic College Mathematics Second Edition was written to provide a solid foundation in the basics of college mathematics, including the topics of whole numbers, fractions, decimals, ratio, and proportion, percent, and measurement as well as introductions to geometry, statistics and probability, and algebra topics. Specific care was taken to ensure that students have the most up-to-date relevant text preparation for their next mathematics course or for nonmathematical courses that require an understanding of algebraic fundamentals. I have tried to achieve this by writing a user-friendly text that is keyed to objectives and contains many worked-out examples. As suggested by the AMATYC Crossroads Document and the NCTM Standards (plus Addenda), real-life and real-data applications, data interpretation, conceptual understanding, problem solving, writing, cooperative learning, appropriate use of technology, mental mathematics, number sense, critical thinking, and geometric concepts are emphasized and integrated throughout the book.

The many factors that contributed to the success of the first edition have been retained. In preparing the Second Edition, I considered comments and suggestions of colleagues, students, and many users of the prior edition throughout the country.

Basic College Mathematics, Second Edition is part of a series of texts that can include Introductory Algebra, Second Edition; Prealgebra, Third Edition; Intermediate Algebra, Second Edition; and a combined text Algebra A Combined Approach, Second Edition. Throughout the series pedagogical features are designed to developstudent proficiency in algebra and problem solving, and to prepare students for future courses.

Read More Show Less

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