11/23/2023 0 Comments College algebra concepts and contextsLothar Redlin The Pennsylvania State University James Stewart McMaster University and University of Toronto The global montage on the cover is intended to echo this universal reach of the applications of algebra. The many and varied applications of algebra that we study in this book highlight the importance of algebra in understanding the world around us, and many of these applications take us to places where we never thought mathematics would go. Stewart, Redlin, and Watson have also published Precalculus: Mathematics for Calculus, Algebra and Trigonometry, and Trigonometry.Ībout the Cover Each of the images on the cover appears somewhere within the pages of the book itself-in real-world examples, exercises, or explorations. She continues to teach and tutor students in mathematics at all levels, including conducting mathematics enrichment courses for middle school students. As a graduate student she taught college algebra and calculus courses at the University of Missouri. PHYLLIS PANMAN received a Bachelor of Music degree in violin performance in 1987 and a PhD in mathematics in 1996 from the University of Missouri at Columbia. His research field is functional analysis. He is currently Professor of Mathematics at California State University, Long Beach. He also taught at The Pennsylvania State University. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He did graduate studies at Dalhousie University and McMaster University, where he received his PhD in 1978. SALEEM WATSON received his Bachelor of Science degree from Andrews University in Michigan. He is currently Professor of Mathematics at The Pennsylvania State University, Abington Campus. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. LOTHAR REDLIN grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and received a PhD from McMaster University in 1978. James Stewart is the author of a bestselling calculus textbook series published by Brooks/Cole, Cengage Learning, including Calculus, Calculus: Early Transcendentals, and Calculus: Concepts and Contexts a series of precalculus texts and a series of high-school mathematics textbooks. His research field is harmonic analysis and the connections between mathematics and music. Stewart is Professor Emeritus at McMaster University and is currently Professor of Mathematics at the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Graphs of some power functions are shown.ĪBOUT THE AUTHORS JAMES STEWART received his MS from Stanford University and his PhD from the University of Toronto. yĪ power function is a function of the form f 1x 2 = Cx p. The vertex of the graph of f is at the point (h, k). The function f can be expressed in the standard form f 1x2 = a1x - h2 2 + k. The maximum or minimum value of f occurs at x =. The graph of f has the shape of a parabola. The graph of f has the general shape shown below.Ī quadratic function is a function of the form f 1x2 = ax 2 + bx + c. yĪ logarithmic function with base a 7 1 is a function of the form f 1x2 = loga x. If a 6 1, then a is called the decay factor and r = a - 1 is called the decay rate. If a 7 1, then a is called the growth factor and r = a - 1 is called the growth rate. The graph of f has one of the shapes shown. yĪn exponential function is a function of the form f 1x2 = Ca x. The graph of f is a line with slope m and y-intercept b. A linear function is a function of the form f 1x2 = b + mx.
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