**Textbook Title:** Vector Calculus

**Textbook Description:**

This is a textbook 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.

**Author:** Michael Corral

**Subjects:** Mathematics

**Key words:** Math, Mathematics, Algebra, Calculus

**Download URL:** http://mecmath.net/calc3book.pdf