Basic Mathematics for College Students with Early Integers

Alan Tussy received a Bachelor of Science in Mathematics from the University of Redlands and a Master of Science in Applied Mathematics from California State University, Los Angeles. He has taught across a variety of course and curriculum areas from pre-algebra to differential equations at Arcadia High School and Citrus Community College in Glendora, CA. He has authored best-selling paperback and hardcover developmental mathematic series now in their 6th editions published by Cengage. An extraordinary author, he is dedicated to his students' success and is a relentlessly meticulous and creative visionary who maintains a keen focus on the greatest challenges students of today face in mathematics. He is a well-received conference speaker and has recently focused on mentoring and counseling the next generation of mathematics instructors. A nationally recognized educator and author, Diane Koenig actively shaped several textbooks, ancillaries and series. Since 1982 when she helped develop the Gustafson/Frisk series to her work on the Tussy/Koenig/Gustafson series, Diane’s writing continues to reflect the expertise she gains from working with students in her Mathematics courses. Throughout her work, she integrates research-based strategies in Mathematics education. She earned a Bachelor of Science degree in Secondary Math Education from Illinois State University in 1980, and began her career at Rock Valley College in 1981, when she became the Math Supervisor for a newly formed Personalized Learning Center. Earning her Master's Degree in Applied Mathematics from Northern Illinois University in 1984, Diane, enjoys the distinction of being the first woman to become a full-time faculty member in the Mathematics department for Rock Valley College. In addition to being awarded AMATYC's Excellence in Teaching Award in 2015, she was chosen as the Rock Valley College Faculty of the Year by her peers in 2005, and the next year she was awarded the NISOD Teaching Excellence Award and the Illinois Mathematics Association of Community Colleges Award for Teaching Excellence. In addition to her teaching, she is an active member of the Illinois Mathematics Association of Community Colleges (IMACC), serving 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.

• 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. 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. 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. 5. RATIO, PROPORTION, AND MEASUREMENT. Ratios and Rates. Proportions. American Units of Measurement. Metric Units of Measurement. Converting between American and Metric Units. Chapter Summary and Review. Chapter Test. Cumulative Review. 6. PERCENT. Percents, Decimals, and Fractions. Solving Percent Problems Using Percent Equations and Proportions. Applications of Percent. Estimation with Percent. Interest. Chapter Summary and Review. Chapter Test. Cumulative Review. 7. GRAPHS, STATISTICS, and PROBABILITY.Reading Graphs and Tables. Mean, Median, and Mode. Probability. Chapter Summary and Review. Chapter Test. Cumulative Review. 8. AN INTRODUCTION TO ALGEBRA. The Language of Algebra. Simplifying Algebraic Expressions. Solving Equations Using Properties of Equality. More about Solving Equations. Using Equations to Solve Application Problems. Multiplication Rules for Exponents. Chapter Summary and Review. Chapter Test. Cumulative Review. 9. AN INTRODUCTION TO GEOMETRY. Basic Geometric Figures; Angles. Parallel and Perpendicular Lines. Triangles. The Pythagorean Theorem. Congruent Triangles and Similar Polygons and Triangles. Quadrilaterals and Other Polygons. Perimeters and Areas of Polygons. Circles. Volume. Chapter Summary and Review. Chapter Test. Cumulative Review. Appendix 1 Addition and Multiplication Facts. Appendix 2 Polynomials. Appendix 3 Roots and Powers.