Synopses & Reviews
Designed as a supplement to any multivariable calculus texts in order to utilize Maple as an integral part of the instruction. Geared to helping students understand the calculus concepts while taking full advantage of the computing power and graphic capabilities of Maple. Contains 28 modules to guide readers through an array of examples which aid them in visualizing the problem at hand before or after learning the theory. All concepts are developed from the geometric viewpoint rather than abstract definition.
Table of Contents
Partial table of contents:
Plotting Functions of 1 Variable.
Coordinates in 3-Space, Dot Products and Vector Products.
Parametric Lines and Planes.
Parametric Curves.
Functions of Two Variables.
Level Curves and Contour Lines.
Parametric Surfaces.
Cylindrical Coordinates.
Partial Derivatives and the Chain Rule.
Gradients, Directional Derivatives and Vector Fields.
Tangent Planes.
Maxima, Minimums and Saddle Points.
Double Integrals.
Double Integrals in Polar Coordinates.
Triple Integrals in Rectangular Coordinates.
Triple Integrals in Spherical Coordinates.
Type I and II Line Integrals.
Conservative Vector Fields.
Green's Theorem.
Surface Integrals.
Maple Commands.
Answers to Drill Exercises.