Overview

This book contains over 300 worked-out examples of questions commonly seen in a standard multi-variable and vector calculus course at the college level. The purpose is simply to offer a student in such a course extra examples to study, augmenting the material already present in the student's course. Most textbooks are limited by space in the number of examples that can be shown, and may skip certain steps for the same reason. This is a companion book, in which examples are chosen from various skill levels and applications. The topics covered in this book include the xyz-coordinate system, vectors, lines and planes in R3, common graphs of multi-variable functions, domain, range, limits, vector-valued functions and their derivatives and integrals, projectile motion, partial differentiation, directional derivatives and the gradient, unconstrained and constrained optimization, method of Lagrange multipliers, Multi-variable integration, cylindrical and spherical coordinate systems, general change-of-variables, vector fields, potential functions and conservative vector fields, line integrals (circulation and flux), the Fundamental Theorem of Line Integrals, Green's Theorem, the del operator, divergence and curl, flux in R3, the Divergence Theorem and Stokes' Theorem.

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9781539754169

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