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

Vector calculus: course

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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





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.

Further reading