This text was the first written to blend much of the best aspects of calculus reform with the reasonable goals and methodology of traditional calculus. While incorporating much of calculus reform, Calculus, 2/e does not "throw the baby out with the bath water." Calculus should not be a terminal course, but rather, one that prepares students in engineering, science, and math to move on to more advanced and necessary career or professional courses. This text addresses topics such as continuity, the mean value theorm, l'Hopital's rule, parametric equations, polar coordinates, sequences, and series. In short, this text is an attempt at Reform with Reason. The second edition now features the total integration of transcendental functions right from the beginning of the text, as well as expanded coverage of differential equations, including slope fields in Chapter 5.
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This book blends much of the best aspects of calculus reform with the reasonable goals and methodology of traditional calculus. Readers benefit from an innovative pedagogy and a superb range of problems. Modeling is a major theme — qualitative and quantitative problems demonstrate an extremely wide variety of mathematical, engineering, scientific, and social models. This book addresses topics such as continuity, the mean value theorm, l'Hôpital's rule, parametric equations, polar coordinates, sequences, and series. Differential equations are integrated and coverage is expanded including an introduction to slope fields. Suitable for professionals in engineering, science, and math.
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