Synopses & Reviews
By seamlessly integrating technology into mathematics, Cochener, Hodge, and Gustafson encourage the active engagement of students in the process of learning algebra. Algebraic concepts are developed using a multi-faceted approach, including numerical, graphical, symbolic, and verbal examples and exercises. Calculator instruction is keyed to the TI-83+ and the TI-86. The Second Edition features a robust suite of online course management, testing, and tutorial resources for instructors and students. This includes BCA/iLrn Testing and Tutorial, vMentor live online tutoring, the Interactive Video Skillbuilder CD-ROM with MathCue, a Book Companion Web Site featuring online graphing calculator resources, WebTutor Toolbox for WebCT and Blackboard, and The Learning Equation (TLE), powered by BCA/iLrn. TLE provides a complete courseware package, featuring a diagnostic tool that gives instructors the capability to create individualized study plans. With TLE, a cohesive, focused study plan can be put together to help each student succeed in math.
Synopsis
By integrating technology with mathematics, BEGINNING AND INTERMEDIATE ALGEBRA WITH GRAPHING CALCULATORS makes it easy to succeed in this course! Numerical, graphical, symbolic, and verbal examples and exercises clarify algebraic concepts. Take advantage of the numerous resources that will help you prepare for exams such as online tutoring, chapter summaries, and technology sections and tips. Learn how to use the TI-83+ or TI-86 graphing calculators to confirm arithmetic/algebraic results, to observe patterns, to interpret tables and graphic displays, and to construct and test algebraic models of data.
About the Author
Debbie Cochener received her Bachelor of Arts followed by a Master of Arts in teaching from Angelo State University. She is currently an Associate Professor at Austin Peay State University in Clarksville, Tennessee. As a member of several mathematical associations such as the Mathematical Association of America, The National Council of Teachers of Mathematics, The Tennessee Mathematics Teachers Association, she keeps very up-to-date with current topics in her field. She has co-authored several graphing calculator manuals for classroom use.Bonnie Hodge received both her BS and MS degrees from Troy State University, Troy, Alabama and is an Associate Professor at Austin Peay State University in Clarksville, Tennessee. She has co-authored several graphing calculator manuals.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: 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.
Table of Contents
1. BASIC ARITHMETIC AND GRAPHING CALCULATOR CONCEPTS. Review of Fractions. Technology 1.1: Introduction to the Graphing Calculator. Exponents and Order of Operations. Technology 1.2: Using the STOre Key. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Basic Applications. Chapter Summary. Chapter Test. Careers and Mathematics: Computer Systems Analyst. 2. EXPONENTS AND POLYNOMIALS. Whole Number Exponents. Negative Integer Exponents and Scientific Notation. Algebraic Expressions and Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Chapter Summary. Chapter Test. Cumulative Review: Chapters 1 and 2. Careers and Mathematics: Actuary. 3. SOLUTIONS OF EQUATIONS IN ONE AND TWO VARIABLES. Introduction to Linear Equations in One Variable. Literal Equations and Formulas. Introduction to Equations in Two Variables. The Rectangular Coordinate System. Technology 3.4: Graphing Basics. Linear Applications and Models. Technology 3.5: Intersect Method for Solving. Algebraic and Graphical Solutions to One-Variable Linear Equations. Equations Containing Absolute Value. Chapter Summary. Chapter Test. Careers in Mathematics: Pilot. 4. AN EXTENDED LOOK AT APPLICATIONS AND INEQUALITIES. Applications-A Numeric Approach. Business Applications. More Applications of Equations. Solving Simple Linear Inequalities. Compound Inequalities. Absolute Value Inequalities. Chapter Summary. Chapter Test. Careers in Mathematics-Banker. 5. FACTORING. Using the Distributive Property to Factor. Factoring Trinomials. Factoring by Special Products. Summary of Factoring Techniques. Using Factoring to Solve Equations. Chapter Summary. Chapter Test. Careers in Mathematics: Computer Programmer. 6.RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Algebraic and Graphical Solutions of Rational Equations. Applications of Rational Equations. Chapter Summary. Chapter Test. Cumulative Review: Chapters 5 and 6. Careers in Mathematics: Mechanical Engineer. 7. MAKING THE TRANSITION FROM ELEMENTARY TO INTERMEDIATE ALGEBRA. Review of Exponents and Polynomials. Review of Factoring. Review of Equations. Graphing and its Applications Revisited. Technology 7.4: Root/Zero Method for Solving. Review of Inequalities. Chapter Summary. Chapter Test. Careers and Mathematics: Statistician. 8. FUNCTIONS. Relations and Functions. Functions and Graphs. Slope of a Non-vertical Line. Equations of Lines. Variation. Chapter Summary. Chapter Test. Cumulative Review: Chapters 7 and 8. Careers and Mathematics: Economist. 9. RATIONAL EXPONENTS AND RADICALS. Introduction to Roots and Radicals. Rational Exponents and Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations and Their Applications. Radical Functions. Complex Numbers. Chapter Summary. Chapter Test. Careers and Mathematics: Electrical/ Electronic Engineer. 10. QUADRATICS. Square Root Property and Completing the Square. The Quadratic Formula and the Discriminant. Applications of Quadratic Functions and Solutions of Equations Using Quadratic Methods. Graphs of Quadratic Functions. Quadratic and Other Inequalities. Chapter Summary. Chapter Test. Cumulative Review (Chapters 9 and 10). Careers in Mathematics: Photographer. 11. FUNCTIONS AND THEIR INVERSES. Algebra of Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary. Chapter Test. Careers and Mathematics: Chemist. 12. SYSTEMS OF EQUATIONS AND INEQUALITIES. Solving Systems of Two Equations in Two Variables. Applications of Systems of Two Equations in Two Variables. Solving Systems of Three Equations in Three Variables. Using Matrices to Solve Systems of Equations. Using Determinants to Solve Systems of Equations. Systems of Inequalities. Chapter Summary. Chapter Test. Cumulative Review: Chapters 11 and 12. Careers and Mathematics: Traffic Engineer. Appendix A: Conic Sections. Appendix B: Binomial Theorem. Appendix C: Artihmetic and Geometric Sequences. Appendix D: Permutations and Combinations. Appendix E: Selected Answers. Appendix F: Graphing Calculator Guide. Glossary/Index.