MATH 2ZZ3 Lecture Notes - Lecture 6: Inside Out Music, Polar Coordinate System, Transcendentals

• School: McMaster University
• Department: Mathematics
• Course: MATH 2ZZ3
• Professor: David Lozinski

Document Summary

Math objects made using mathtype; graphs made using winplot. Announcements: no bonus points on the test, 3 hours. The vector function, f, is conservative if f can be written as a gradient of some scalar function. (i. e. there exists , such that = f ) If exists, we say is the potential function of f. 2 start / end at the same place. d r for any two paths, c1, c2, that. Suppose c is a path in an open region r of the xy-plane, and c is parametrized by t. F j (2d) is conservative, with potential function, b. B b a b a d x d t y d y d t d t t t chain rule y t a t. D is connected if every pair of points in d can be linked by a path lying wholly in d.