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Course requirements are the following: (1) You must actively participate in the course. (2) You must present one solution in during the tutorial. (3) You must pass an exam at the end of the semester which alone will determine your grade.
Sheet 2 (May 2nd) (see http://www.jmilne.org/math/CourseNotes/GT.pdf page 25 for a proof)
Sheet 5 (May 23rd) (Missing assumption in exercise 20 added.)