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    Read more about Vector Calculus

    Vector Calculus

    (1 review)

    Michael Corral, Schoolcraft College

    Copyright Year:

    Last Update: 2021

    Publisher: Michael Corral

    Language: English

    Formats Available

    Conditions of Use

    Free Documentation License (GNU)
    Free Documentation License (GNU)


    Learn more about reviews.

    Reviewed by Yaping Liu, Professor, Pittsburg State University on 1/12/23

    This book contains about enough material for a one semester multivariable calculus or a beginning vector calculus course. It is relatively easy to read and follow. At the end of each section a fair number of exercises are provided, which are... read more

    Table of Contents

    • 1 Vectors in Euclidean Space
    • 2 Functions of Several Variables
    • 3 Multiple Integrals
    • 4 Line and Surface Integrals


    Ancillary Material

    • Michael Corral
    • About the Book

      This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

      The book also includes discussion of numerical methods: Newton's method for optimization, and the Monte Carlo method for evaluating multiple integrals. There is a section dealing with applications to probability. Appendices include a proof of the right-hand rule for the cross product, and a short tutorial on using Gnuplot for graphing functions of 2 variables

      There are 420 exercises in the book. Answers to selected exercises are included.

      About the Contributors


      Michael Corral is an Adjunct Faculty member of the Department of Mathematics at Schoolcraft College. He received a B.A. in Mathematics from the University of California at Berkeley, and received an M.A. in Mathematics and an M.S. in Industrial & Operations Engineering from the University of Michigan.

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