Aiming to motivate an understanding of calculus topics with the aid of visualization technology with problems and applications, this book also incorporates the Rule of Four (graphical, numeric, symbolic, and verbal) with an emphasis on a numeric approach. Group projects (usually technology-based) throughout the book focus on mathematical exploration and discovery. These have been developed by the author through a series of workshop and technology training sessions.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 235 mm
Breite: 178 mm
ISBN-13
978-0-13-263245-4 (9780132632454)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Klassifikation
Conics, polar coordinates and parametric curves; conic sections; translation of axes; the polar coordinate system and graphs; technology and graphs of polar equations; calculus in polar coordinates; plane curves - parametric representation; chapter review; curves in 2 and 3 dimensions; cartesian coordinates in 3 space; vectors in 2 and 3 space; the cross product; vector valued functions and curves in 2 and 3 space; velocity, acceleration and curvature; surfaces; surfaces in 3 space; functions of 2 variables; partial derivatives; the gradient; directional derivatives; the chain rule; the tangent plane approximation; maximums and minimums; constrained maximum and minimum problems; the integral in n-space; double integrals over rectangles; iterated integrals; double integrals over nonrectangular regions; double integrals in polar coordinates; applications of double integrals; surface area; triple integrals (cartesian coordinates); triple integrals (cylindrical and spherical coordinates); chapter review; vector calculus; vector fields; line integrals; independence of path; Green's theorem in the plane; surface integrals; Gauss's divergence theorem; Stoke's theorem; chapter review.
