# ps11 - MIT OpenCourseWare http/ocw.mit.edu 18.02...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 18.02 Multivariable Calculus Fall 2007 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . 18.02 Problem Set 11 Due Thursday 11/29/07, 12:45 pm. Part A (17 points) Hand in the underlined problems only; the others are for more practice. Lecture 30. Thu Nov. 15 Vector fields in 3D; surface integrals and ﬂux. Read: Notes V8, V9. Work: 6A/ 1, 2, 3, 4; 6B/ 1, 2, 3, 4, 6, 8. Lecture 31. Fri Nov. 16 Divergence theorem. Read: Notes V10; 15.6. Work: 6C/ 1a, 2, 3, 5, 6, 7a, 8. Lecture 32. Tue Nov. 20 Divergence theorem continued: applications and proof. Read: Notes V10; 15.6, and pp. 1054–1055 about heat ﬂow. Lecture 33. Tue Nov. 27 Line integrals in space, curl, exactness and potentials. Read: Notes V11, V12; p. 1017–1018 on curl. Work: 6D/ 1abcd, 2, 4, 5; 6E/ 1, 2, 3ab(ii) (both methods), 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 solutions must be written up independently....
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ps11 - MIT OpenCourseWare http/ocw.mit.edu 18.02...

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