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Unformatted text preview: 18.02 Problem Set 8 Due Thursday 10/30/08, 12:45 pm in 2-106. Part A (10 points) Lecture 22. Thu Oct. 23 Path independence and conservative fields. Read: 15.3 to p. 1033 Work: 4C/ 1 , 2, 3 . Lecture 23. Fri Oct. 24 Gradient fields and potential functions. Read: Notes V2 (and refer to 15.3). Work: 4C/ 5a (by method 1 of V2), 5b (by method 2), 6ab (by both methods). Lecture 24. Tue Oct. 28 Green’s theorem. Read: 15.4 to top of p. 1043. Work: 4D/ 1abc , 2 , 3 , 4 , 5. Part B (26 points) Directions: Attempt to solve each part of each problem yourself. If you collaborate, solutions must be written up independently. It is illegal to consult materials from previous semesters. With each problem is the day it can be done. Write the names of all the people you consulted or with whom you collaborated and the resources you used. Problem 1. (Friday, 8 points: 1+2+2+1+2) Consider the vector field vector F ( x,y ) = − y ˆ ı + x ˆ x 2 + y 2 ....
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This note was uploaded on 04/28/2009 for the course MATH 18.02 taught by Professor Auroux during the Fall '08 term at MIT.
- Fall '08