MATH 241 Final: MATH 241 UPenn 241S10 Final ans Exam
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Mathematics 241 final exam may 4, 2010 (rimmer, shatz, zhu) The examination consists of 20 problems each worth 10 points; answer all of them. They are multiple choice, no partial credit given, but no. To answer, circle the entire statement you deem correct in the problem concerned. No work is required to be shown, use your bluebooks for computations and scratch work. No books, tables, notes, calculators, com- puters, phones or electronic equipment allowed; one 8 1. 2 inch by 11 inch sheet handwritten both sides allowed. In what follows, we write ux for u lems concerning pde. Score: consider , the region sketched below between the indicated curves. Write for the boundary of , so that consists of the two curves traced in the directions shown in the picture. Then the integral around of the function: f (z) = z (z 1)(z 3) , is equal to.
