College Mathematics for Technology, 4/e
Cheryl Cleaves, the State Technical Institute of Memphis
Margie Hobbs, the State Technical Institute of Memphis
Paul Dudenhefer, the State Technical Institute of Memphis
Published August, 1997 by Prentice Hall Career & Technology
Copyright 1998, 1008 pp.
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College Mathematics for Technology, Fourth Edition addresses
curriculum and pedagogy standards that are initiatives of the American
Mathematical Association of Two-Year Colleges (AMATYC), the National
Council of Teachers of Mathematics (NCTM), and the Mathematics Association
of America (MAA). The text retains its simple language making it
suitable for a wide range of instructional uses.
Each feature is tied to a specific teaching goal as identified by
NCTM and SCANS.
to learn to value mathematics.
to learn to reason mathematically.
- Mathematics in the Workplace includes excerpts
and summaries from newspapers, magazines, and journal articles to
help students develop a richer appreciation of the usefulness of mathematics
in the workplace and in everyday life.
- Career Applications appear at the end of most chapters.
These applications were developed through interviews and market research
in the workplace to ensure relevance.
- An expanded index makes this text an excellent reference
text to foster student's life-long learning. Formulas, career applications,
and technical terms that are used in examples are indexed along with
the mathematical terms. Entries are crossed referenced to make them
easy to locate.
to communicate mathematically.
- Concept Analysis will strengthen the students'
ability to make generalizations from experimentation and investigation.
- the text provides this through explanatory comments in
the text narrative, examples and in the Concept Analysis
at the end of each chapter.
- Tips and Traps Boxes draw attention to
special cautions and procedures, helping students avoid common errors
to become confident of mathematical abilities.
- the authors use both informal language and mathematically
precise terminology to enable the students to learn to read and understand
the mathematical concepts presented.
- Concept Analysis allows the students
to formulate mathematical ideas and express them both orally and in
- The Instructor's Resource Manual contains additional
projects that promote mathematical communication among students and
- mathematical terms introduced in each chapter are listed
at the end of the chapter in the Words to Know section.
- Each section begins with a statement of Learning
Objectives, which lays out what one should look for and learn
in that section.
to become math problem-solvers.
- Boxes for Rules, Properties and Formulas appear
throughout the text to help introduce new procedures and to provide
a quick reference for review. To make the procedures as clear as possible,
the authors break them down into step-by-step instructions. An example
generally follows each rule, property or formula.
- Self-Study Exercises with all the answers
in the text are designed to help students build confidence in their
own mathematical abilities before attempting the Assignment Exercises
where only the odd answers are provided.
- Trial Tests are located at the end of
every chapter, and enable students to check their understanding of
chapter concepts. Answers are provided to odd-numbered exercises in
the back of the text. Solutions are provided to odd-numbered exercises
in a separate Student Solutions Manual(see supplements).
- Chapter Summary at the end of each chapter
(in a grid format) lists each learning objective by section with key
points to remember and an example. It's a built-in study guide!
All of the above.
- Concept Analysis questions focus on the why
and where of mathematical concepts. They allow the student
to formalize his/her understanding of a concept and to connect concepts
to other words.
- when problem-solving is first introduced, a six-step
plan is developed for investigating and analyzing the situation presented
in the problem to determine what tools to use to solve the problem.
- Good decisions through teamwork. Projects are designed
to promote the various facets of team work. The various projects emphasize
computational skills, research skills, critical thinking and/or decision-making
skills all skills highly sought by employers.
the AMATYC identifies the following as abilities to be developed by
students in college math programs:
- the text emphasizes estimation.
- whenever calculators are used, students are encouraged
to check the answer to ensure it to be reasonable.
- various reproducible activities are provided in the Instructor's
spacial and geometric sense.
- properties and formulas are presented in both symbols
- Concept Analysis develops students' ability
to write words in math symbols and vise versa.
- geometric concepts are integrated throughout the text
so that they are presented with the math concept required to solve
problems involving geometry.
- numerous visual illustrations are provided with word
- students are asked to devise illustrations from written
probability and statistical sense.
- function notation and terminology are presented early
in the text and expanded with graphing and formulas and students are
encouraged to identify patterns and relationships.
- reproducible activities are provided in the Instructor's
Calculator Boxes discuss how to analyze a mathematical
procedure and set up a problem for a calculator solution followed
by a sample series of keystrokes involved for the procedure.
- text includes an entire chapter on data analysis with
emphasis on probability and statistics and the visual representation
NEW Symbolic Representationis
included just prior to solving linear equations to provide a thorough
review of signed numbers and an introduction to variable expressions
and translating from words to symbols.
NEWGood Decisions Through Teamwork
Every chapter opens with a team project that relates to the content
of the chapter. Sufficient details are given to assist the teams in
getting organized and to provide direction, however, the projects
also have sufficient flexibility for the project to be expanded or
to encourage creativity.
NEWMathematics in the Workplace Several
articles that can generate class discussion or projects included throughout
the text. These articles represent a wide variety of topics.
NEWCareer Applications Career applications
for a wide variety of careers are included throughout the text. They
are located in the end-of-chapter materials in practically every chapter.
Applications include explanations, examples, exercises, and answers.
Careers included are electronics, civil engineering, chemical engineering,
law enforcement, nursing, horticulture, teaching, and many more.
NEWExpanded "Tips and Traps," The Tips and Traps
feature has been greatly expanded with each instance identified with
a title for easier reference.
1. Whole Numbers and Decimals.
Whole Numbers, Decimals, and the Place-Value System. Adding
Whole Numbers and Decimals. Subtracting Whole Numbers and Decimals.
Multiplying Whole Numbers and Decimals. Dividing Whole Numbers and
Decimals. Exponents, Roots, and Powers of 10. Order of Operations.
Natural Numbers, Whole Numbers, and Integers. Addition with
Integers. Subtracting Integers. Multiplying Integers. Dividing Integers.
Order of Operations.
3. Fractions and Percents.
Fraction Terminology. Multiples, Divisibility, and Factor
Pairs. Prime and Composite Numbers. Least Common Multiple and Greatest
Common Factor. Equivalent Fractions and Decimals. Improper Fractions
and Mixed Numbers. Finding Common Denominators and Comparing Fractions
and Decimals. Adding Fractions and Mixed Numbers. Subtracting Fractions
and Mixed Numbers. Multiplying Fractions and Mixed Numbers. Dividing
Fractions and Mixed Numbers. Signed Fractions and Decimals. Calculators
with Fraction Key. Finding Number and Percent Equivalents.
4. Problem Solving with Percents.
Percentage Proportion. Solving Percentage Problems. Increases
and Decreases. Business Applications.
5. Direct Measure.
The U.S. Customary System of Measurement. Adding and Subtracting
U.S. Customary Measures. Multiplying and Dividing U.S. Customary Measures.
Introduction to the Metric System. Metric-U.S. Customary Comparisons.
Reading Instruments Used to Measure Length.
6. Area and Perimeter.
Squares, Rectangles, and Parallelograms. Area and Circumference
of a Circle.
7. Interpreting and Analyzing Data.
Reading Circle, Bar, and Line Graphs. Frequency Distributions,
Histograms, and Frequency Polygons. Finding Statistical Measures.
Counting Techniques and Simple Probabilities.
8. Symbolic Representation.
Rational Numbers. Real Numbers. Variable Notation. Function
9. Linear Equations.
Solving Basic Equations. Isolating the Variable in Solving
Equations. Applying the Distributive Property in Solving Equations.
Strategies for Problem Solving.
10. Equations with Fractions and Decimals.
Solving Fractional Equations by Clearing the Denominators.
Solving Decimal Equations. Using Proportions to Solve Problems.
11. Powers and Logarithms.
Laws of Exponents. Basic Operations with Algebraic Expressions
Containing Powers. Powers of 10 and Scientific Notation. Polynomials.
Exponential Expressions, Equations, and Formulas. Logarithmic Expressions.
12. Roots and Radicals.
Roots and Notation Conventions. Simplifying Square-Root
Expressions. Basic Operations with Square-Root Radicals. Complex and
Imaginary Numbers. Equations with Squares and Square Roots.
13. Formulas and Applications.
Formula Evaluation. Formula Rearrangement. Temperature Formulas.
Geometric Formulas. Miscellaneous Technical Formulas.
14. Products and Factors.
The Distributive Property and Common Factors. Multiplying
Polynomials. Factoring Special Products. Factoring General Trinomials.
15. Solving Quadratic and Higher-Degree Equations.
Quadratic Equations. Solving Quadratic Equations Using the
Quadratic Formula. Solving Pure Quadratic Equations: ax^2
+ c = 0. Solving Incomplete Quadratic Equations: ax^2
+ bx = 0. Solving Complete Quadratic Equations by Factoring.
Selecting an Appropriate Method for Solving Quadratic Equations. Solving
Higher-Degree Equations by Factoring.
16. Rational Expressions.
Simplifying Rational Expressions. Multiplying and Dividing
Rational Expressions. Adding and Subtracting Rational Expressions.
Solving Equations with Rational Expressions.
17. Inequalities and Absolute Values.
Inequalities and Sets. Solving Simple Linear Inequalities.
Compound Inequalities. Solving Quadratic and Rational Inequalities.
Equations Containing One Absolute-Value Term. Absolute-Value Inequalities.
18. Graphical Representation.
Graphical Representation of Equations. Linear Equations
in Two Variables and Function Notation. Graphing Linear Equations
with Two Variables. Graphing Linear Inequalities with Two Variables.
Graphing Quadratic Equations and Inequalities.
19. Slope and Distance.
Slope. Point-Slope Form of an Equation. Slope-Intercept
Form of an Equation. Parallel Lines. Perpendicular Lines. Distance
20. Systems of Equations and Inequalities.
Solving Systems of Equations and Inequalities Graphically.
Solving Systems of Equations Using the Addition Method. Solving Systems
of Equations by the Substitution Method. Problem Solving Using Systems
21. Selected Concepts of Geometry.
Basic Terminology and Notation. Angle Calculations. Triangles.
Polygons. Sectors and Segments of a Circle. Inscribed and Circumscribed
Regular Polygons and Circles.
22. Introduction to Trigonometry.
Radians and Degrees. Trigonometric Functions. Using a Calculator
to Find Trigonometric Values.
23. Right-Triangle Trigonometry.
Sine, Cosine, and Tangent Functions. Applied Problems Using
24. Oblique Triangles.
Vectors. Trigonometric Functions for Any Angle. Law of Sines.
Law of Cosines. Area of Triangles.
Selected Answers to Student Exercise Material.