The new edition of BEGINNING & INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful text and makes it more compelling for today's instructor and student. The new edition has been thoroughly updated with a new interior design and other pedagogical features that make the text both easier to read and easier to use. Known for its clear writing and an engaging, accessible approach that makes algebra relevant, BEGINNING & INTERMEDIATE ALGEBRA helps students to develop problem-solving skills and strategies that they can use in their everyday lives. The new edition welcomes two new co-authors Rosemary Karr and Marilyn Massey who along with David Gustafson have developed a learning plan to help students succeed in Beginning Algebra and transition to the next level in their coursework. The authors have developed an acute awareness of students' approach to homework and present a learning plan keyed to new Learning Objectives and supported by a comprehensive range of exercise sets that reinforces the material that students have learned setting the stage for their success.
A college textbook which works toward retaining the efficiencies afforded by combining beginning and intermediate algebra, and avoiding the pitfalls, e.g. getting too difficult too fast and neglecting to include enough beginning algebra so that students who transfer to another college during the year know the basics. The first six chapters provide a full course in beginning algebra, after which intermediate topics are introduced. A quick review of basic topics is provided for those who begin in the second half of the book. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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.
Rosemary Karr graduated from Eastern Kentucky University (EKU) in 1976 with a B.S. in Mathematics, attained her M.A. at EKU in Mathematics Education in 1981, and earned her Ph.D. from the University of North Texas in 1996. After two years teaching high school mathematics, she joined the faculty at Eastern Kentucky University, where she earned tenure as Assistant Professor of Mathematics. A professor of mathematics at Collin College in Plano Texas since 1990, Prof. Karr has written more than ten solutions manuals, presented numerous papers, and been an active member in several educational associations (including President of the National Association for Developmental Education). She has been honored several times by Collin College, and has received such national recognitions as U.S. Professor of the Year (2007), Minnie Stevens Piper Professor (2008), and CLADEA fellow (2012).
Marilyn Massey teaches mathematics at Collin College in McKinney, Texas. She has been President of the Texas Association for Developmental Education, featured on the list of Who's Who among America's Teachers and received an Excellence in Teaching Award from the National Conference for College Teaching and Learning. Professor Massey has presented at numerous state and national conferences; her article "Service-Learning Projects in Data Interpretation" was one of two included from community college instructors for the Mathematical Association of America's publication, Mathematics in Service to the Community. She earned her Bachelor's degree in Secondary Education from the University of North Texas and Master's Degree in the Art of Teaching Mathematics from the University of Texas at Dallas.
1. REAL NUMBERS AND THEIR BASIC PROPERTIES. Real numbers and their graphs. Fractions. Exponents and order of operations. Adding and subtracting real numbers. Multiplying and dividing real numbers. Algebraic expressions. Properties of real numbers. Projects. Chapter summary. Chapter 1 test. 2. EQUATIONS AND INEQUALITIES. Solving basic linear equations in one variable. Solving more linear equations in one variable. Simplifying expressions to solve linear equations in one variable. Formulas. Introduction to problem solving. Motion and mixed problems. Solving linear inequalities in one variable. Projects. Chapter summary. Chapter test. Cumulative review exercises. 3. GRAPHING AND SOLVING SYSTEMS OF LINEAR EQUATIONS AND LINEAR INEQUALITIES. The rectangular coordinate system. Graphing linear equations. Solving systems of linear equations by graphing. Solving systems of linear equations by substitution. Solving systems of linear equations by elimination (addition). Applications of systems of linear equations. Solving Systems of linear inequalities. Projects. Chapter summary. Chapter test. 4. POLYNOMIALS. Natural-number exponents. Zero and negative-integral exponents. Scientific notation. Polynomials and Polynomial Functions. Adding and subtracting polynomials. Multiplying polynomials. Dividing polynomials by monomials. Dividing polynomials by polynomials. Projects. Chapter summary. Chapter test. Cumulative review exercises. 5. FACTORING POLYNOMIALS. Factoring out the greatest common factor; factoring by grouping. Factoring the difference of two squares. Factoring trinomials with leading coefficients of 1. Factoring general trinomials. Factoring the sum and difference of two cubes. Summary of factoring techniques. Solving equations by factoring. Problem solving. Projects. Chapter summary. Chapter test. 6. PROPORTIONS AND RATIONAL EXPRESSIONS. Simplifying rational expressions. Multiplying and dividing rational expressions. Adding and subtracting rational expressions. Complex fractions. Solving equations that contain rational expressions. Applications of equations that contain rational expressions. Ratios. Proportions and similar triangles. Projects. Chapter summary. Chapter test. Cumulative review exercises. 7. MORE EQUATIONS, INEQUALITIES, AND FACTORING. Review of equations and inequalities. Equations containing absolute value. Inequalities containing absolute values. Review of factoring. Review of rational expressions. Synthetic division. Projects. Chapter summary. Chapter 7 test. 8. WRITING EQUATIONS OF LINES, FUNCTIONS, AND VARIATION. A review of the rectangular coordinate system. Slope of a nonvertical line. Writing equations of lines. A review of functions. Graphs of nonlinear functions. Variation. Projects. Chapter summary. Chapter 8 test. Cumulative review exercises. 9. RADICALS AND RATIONAL EXPONENTS. Radical expressions. Applications of radicals. Rational exponents. Simplifying and combining radical expressions. Multiplying and dividing radical expressions. Radical equations. Complex numbers. Projects. Chapter summary. Chapter test. 10. QUADRATIC FUNCTIONS, INEQUALITIES AND ALGEBRA OF FUNCTIONS. Solving quadratic equations by completing the square. Solving quadratic equations by the quadratic formula. The discriminant and equations that can be written in quadratic form. Graphs of quadratic functions. Quadratic and other nonlinear inequalities. Algebra and composition of functions. Inverses of functions. Projects. Chapter summary. Chapter test. Cumulative review exercises. 11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential functions. Base- exponential functions. Logarithmic functions. Base- logarithms. Properties of logarithms. Exponential and logarithmic equations. Projects. Chapter summary. Chapter test. 12. CONIC SECTIONS AND MORE GRAPHING. The circle and the parabola. The ellipse. The hyperbola. Piecewise-defined functions and the greatest integer function. Projects. Chapter summary. Chapter test. Cumulative review exercises. 13. MORE ON SYSTEMS OF EQUATIONS AND INEQUALITIES. Solutions of two equations in two variables. Solutions of three equations in three variables. Solution by matrices. Solution by determinants. Solving simultaneous second-degree equations and inequalities. Projects. Chapter summary. Chapter test. 14. MISCELLANEOUS TOPICS. The binomial theorem. The nth term of a binomial expansion. Arithmetic sequences. Geometric sequences. Infinite geometric sequences. Permutations and combinations. Probability. Projects. Chapter summary. Chapter test. Cumulative review exercises. APPENDIX I: Symmetries of graphs. APPENDIX II: TABLES. Table A Powers and roots. Table B Base-10 logarithms. Table C Base-e logarithms. APPENDIX III: ANSWERS TO SELECTED EXERCISES. INDEX. INDEX OF APPLICATIONS.