Path independence and conservative fields

Description
The path independence of the line integral is proved. The conservative field in case of a closed cure is explained. How to find the potential if it is a gradient field, is discussed in this tutorial. To identify a vector field as a gradient field is analysed through numerical problems.
Prof. Denis Auroux, Maths, Fall 2007,18.02 Multivariable Calculus: 21: Gradient Fields, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed September 28,2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc