9781439044377

Developmental Mathematics for College Students

by ; ;
  • ISBN13:

    9781439044377

  • ISBN10:

    1439044376

  • Edition: 3rd
  • Format: Paperback
  • Copyright: 9/20/2010
  • Publisher: Cengage Learning

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Summary

Offering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig's DEVELOPMENTAL MATHEMATICS FOR COLLEGE STUDENTS, Third Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, algebra is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the "language of algebra," the text's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills.

Table of Contents

Whole Numbers
An Introduction to the Whole Numbers
Adding Whole Numbers
Subtracting Whole Numbers
Multiplying Whole Numbers
Dividing Whole Numbers
Problem Solving
Prime Factors and Exponents
The Least Common Multiple and the Greatest Common Factor
Order of Operations
Chapter Summary and Review
Chapter Test
The Integers
An Introduction to the Integers
Adding Integers
Subtracting Integers
Multiplying Integers
Dividing Integers
Order of Operations and Estimation
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Fractions and Mixed Numbers
An Introduction to Fractions
Multiplying Fractions
Dividing Fractions
Adding and Subtracting Fractions
Multiplying and Dividing Mixed Numbers
Adding and Subtracting Mixed Numbers
Order of Operations and Complex Fractions
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Decimals
An Introduction to Decimals
Adding and Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Fractions and Decimals
Square Roots
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Ratio, Proportion, and Percent
Ratios
Proportions
Percents, Decimals, and Fractions
Solving Percent Problems Using Equations and Proportions
Applications of Percents
Estimation with Percent
Interest
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Graphs and Statistics
Reading Graphs and Tables
Mean, Median, and Mode
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
An Introduction to Algebra
The Language of Algebra
The Real Numbers
Adding Real Numbers
Properties of Addition
Subtracting Real Numbers
Multiplying and Dividing Real Numbers
Multiplication and Division Properties
Exponents and Order of Operations
Algebraic Expressions
Simplifying Algebraic Expressions Using Properties of Real Numbers
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Equations, Inequalities, and Problem Solving
Solving Equations Using Properties of Equality
More About Solving Equations
Formulas
Problem Solving
More About Problem Solving
Solving Inequalities
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Graphs, Linear Equations, and Inequalities in two Variables Functions
Graphing Using the Rectangular Coordinate System
Equations Containing Two Variables
Graphing Linear Equations
Rate of Change and the Slope of a Line
Slope-Intercept Form
Point-Slope Form
Writing Linear Equations
Graphing Linear Inequalities
Functions
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Solving Systems of Equations and Inequalities
Solving Systems of Equations by Graphing
Solving Systems of Equations by Substitution
Solving Systems of Equations by Addition (Elimination)
Problem Solving Using Systems of Equations
Solving Systems of Linear Inequalities
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Exponents and Polynomials
Natural-Number Exponents
Rules of Exponents
Zero and Negative Integer Exponents
Scientific Notation
Polynomials
Adding and Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials by Monomials
Dividing Polynomials by Polynomials
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Factoring and Quadratic Equations
The Greatest Common Factor
Factoring by Grouping
Factoring Trinomials of the Form x2 + bx + c
Factoring Trinomials of the Form ax2 + bx + c
Factoring Perfect-Square Trinomials and the Difference of Two Squares
Factoring the Sum and Difference of Two Cubes
A Factoring Strategy
Solving Quadratic Equations by Factoring
Applications of Quadratic Equations
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Rational Expressions and Equations
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting with Like Denominators
Least Common Denominators
Adding and Subtracting with Unlike Denominators
Simplifying Complex Fractions
Solving Rational Equations
Problem Solving Using Rational Equations
Proportions and Similar Triangles
Variation
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Roots and Radicals
Square Roots
Higher-Order Roots
Radicands That Contain Variables
Simplifying Radical Expressions
Adding and Subtracting Radical Expressions
Multiplying and Dividing Radical Expressions
Solving Radical Equations
The Distance Formula
Rational Exponents
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Quadratic Equations
Solving Quadratic Equations: The Square Root Property
Solving Quadratic Equations: Completing the Square
Solving Quadratic Equations: The Quadratic Formula
Graphing Quadratic Equations
Complex Numbers
Chapter Summary and Review
Chapter Test
Cumulative Review (online)
Addition and Multiplication Facts
Inductive and Deductive Reasoning
Roots and Powers
Answers to Selected Exercises (appears in the Student Edition only)
Measurement (online)
American Units of Measurement
Metric Units of Measurement
Converting between American and Metric Units
An Introduction to Geometry
Basic Geometric Figures Angles
Parallel and Perpendicular Lines
Triangles
The Pythagorean Theorem
Congruent Triangles and Similar Triangles
Quadrilaterals and Other Polygons
Perimeters and Areas of Polygons
Circles
Volume
Table of Contents provided by Publisher. All Rights Reserved.

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