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.
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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.
Real-life applicationsmany based on real data
from a variety of fields highlight the relevance of math to various
careers and life outside of class.
Concept Checks, skill-based margin exercises, allow
students to gauge their understanding of concept as it is explained
in the text.
- 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.
Chapter Activity, for individual or group projects,
are hands-on or data related complement and extend the concepts in
- These checks stress conceptual understanding of topics,
help reinforce the understanding of concepts and help squash misconceptions
before students move further into their study.
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.
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.
- Students have the opportunity to see mixtures of different
types of problems before they see them on a test.
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
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.
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
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.
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.
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.
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.
Lines and Angles. Plane Figures and Solids. Perimeter. Area.
Volume. Square Roots and the Pythagorean Theorem. Congruent and Similar
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
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.