MATH 2ZZ3 Lecture Notes - Lecture 7: Parametric Surface, Piecewise, Parametrization

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

Document Summary

Math objects made using mathtype; graphs made using winplot. C, a piecewise-smooth, simple, cloud curve bounding a simply-connected region, r, and p, q, C also applies to r, a region with a hole. This was invalid because p,q were discontinuous at 0. Take a circle of radius, a, centred at the origin, such that it fits within an ellipse. You can now apply green"s theorem because discontinuity of f has been punched out. form boundary of a region, r. Refer to stewart"s calculus early transcendentals chapter 16. 6 ( )tr r defines a surface defines a curve. Page 2 of 14 traces out a surface. u v x u v r. As u, v vary over a domain, d, in 2 , r y u v z u v. Set of all points,( parametric surface, s. x y z , such that. 3 x x u v y y u v z z u v is called a r u v.