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Developmental Mathematics for College Studentsby Alan S. Tussy
Synopses & Reviews
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.
Tussy and Gustafson's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. In this text, students get a thorough review of arithmetic and geometry along with all the topics covered in a standard elementary algebra course. The authors build the strong mathematical foundation necessary to give students confidence to apply their newly acquired skills in further mathematics courses, at home, or on the job.
About the Author
: Alan Tussy teaches all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books-a paperback series and a hard-cover series. An extraordinary author, he is dedicated to his students' success, relentlessly meticulous, creative, and a visionary who maintains a keen focus on his students' greatest challenges. Alan received his Bachelor of Science degree in Mathematics from the University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught up and down the curriculum from prealgebra to differential equations. He is currently focusing on the developmental math courses. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges. R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University. Diane Koenig received a Bachelor of Science degree in Secondary Math Education from Illinois State University in 1980. She began her career at Rock Valley College in 1981, when she became the Math Supervisor for the newly formed Personalized Learning Center. Earning her Master's Degree in Applied Mathematics from Northern Illinois University, Ms. Koenig in 1984 had the distinction of becoming the first full-time woman mathematics faculty at Rock Valley College. In addition to being nominated for AMATYC's Excellence in Teaching Award, Diane Koenig was chosen as the Rock Valley College Faculty of the Year by her peers in 2005, and, in 2006, she was awarded the NISOD Teaching Excellence Award as well as the Illinois Mathematics Association of Community Colleges Award for Teaching Excellence. In addition to her teaching, Ms. Koenig has been an active member of the Illinois Mathematics Association of Community Colleges (IMACC). As a member, she has served on the board of directors, on a state-level task force rewriting the course outlines for the developmental mathematics courses, and as the association's newsletter editor.
Table of Contents
1. 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. 2. 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). 3. 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). 4. 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). 5. 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). 6. GRAPHS AND STATISTICS. Reading Graphs and Tables. Mean, Median, and Mode. Chapter Summary and Review. Chapter Test. Cumulative Review (online). 7. 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). 8. 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). 9. 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). 10. 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). 11. 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). 12. 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). 13. 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). 14. 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). 15. 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). Appendix I: Addition and Multiplication Facts. Appendix II: Inductive and Deductive Reasoning. Appendix III: Roots and Powers. Appendix IV: Answers to Selected Exercises (appears in the Student Edition only). Appendix V: Measurement (online). V.1 American Units of Measurement. V.2 Metric Units of Measurement. V.3 Converting between American and Metric Units. Appendix VI: An Introduction to Geometry. VI.1 Basic Geometric Figures; Angles. VI.2 Parallel and Perpendicular Lines. VI.3 Triangles. VI.4 The Pythagorean Theorem. VI.5 Congruent Triangles and Similar Triangles. VI.6 Quadrilaterals and Other Polygons. VI.7 Perimeters and Areas of Polygons. VI.8 Circles. VI.9 Volume.
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