This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

Vector calculus: course

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1 Description

This is a two-semester course in n-dimensional calculus with a review of the necessary linear algebra. It covers the derivative, the integral, and a variety of applications. An emphasis is made on the coordinate free, vector analysis.

Basis of tangent place comes from parametrization.jpg

2 Prerequisites

3 Lectures

4 Exercises

5 Notes

The content is based on the complete set of lecture notes for a course taught by Peter Saveliev in Fall 2009/Spring 2010 at Marshall University.

Text: Calculus Two by Flanigan and Kazdan.

Alternative is a more analytic than geometric approach, see Real analysis: course.

6 Further reading