MATH 2ZZ3 Lecture Notes - Lecture 8: Multiple Integral, Abc Me, Divergence Theorem

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

Document Summary

Math objects made using mathtype; graphs made using winplot. Announcements: test marks are out, ~50. 5% average, questions were purposely not from the textbook, grade was shifted to be out of 60 instead of out of 66, example 3 section 12. 3, 2 grading schemes, a: current. Cylindrical coordinates in 3d x cos z r sin r x y z r z y z. Nice regions in cylindrical coordinates: cylinders; r = a, a 0, cones; r = az. 1 x y d f z a d. , d is a polar region f r cos , sin , r x y x y z r z r d d d e. g. 1) Set up an integral for volume. y+ x. = , below plane z = 4, above parabloid. 0 1 d d d r z r. Chapter 15. 9 in stewart"s x sin cos x y z cos sin sin y z.