332Ass22011

332Ass22011 - AMATH/PMATH 332: Assignment 2 Due: Monday, 31...

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Unformatted text preview: AMATH/PMATH 332: Assignment 2 Due: Monday, 31 January, 2011 Suggested problems: • Sect. 1.4: 1(b), (c), 2(b), (c), 4(c), 5, 7, 8, 9, 11. • Sect. 1.6: 3, 5, 7, 12, 19, 23. • Sect. 2.1: 1 (a), (b), (d), (f), 2, 3 (a), (b), (c), 4, 5, 8. • Sect. 2.2: 11 (a), (b), (c), (f), 13, 15, 17, 19, 21 (c), (d), 25 (a), (b), (e). Note: In problems 15 and 17, I suggest using the result of problem 18. • Sect. 2.3: 4 (a), (c), 6, 7 (a), (d), (e), 9 (a), (b), 11 (a), (h), 13, 16. • Sect. 2.4: 1, 3, 5, 9, 11, 12, 16. Problems to be handed in: 1. For each of the following, sketch the given set and determine if it is a domain or a closed region. (a) | Arg z | < π/ 4. (b)- 1 < Im z ≤ 1. (c) | z | ≥ 2. (d) (Re z ) 2 > 1. 2. One interpretation of a function w = f ( z ) = u ( x,y ) + iv ( x,y ) is that of a vector field in the domain of definition of f . The function assigns a vector w , with components u ( x,y ) and v ( x,y ), to each point z at which it is defined. Indicate graphically the vector fields represented by (a)defined....
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This note was uploaded on 05/16/2011 for the course MATH 332 taught by Professor Jt during the Spring '10 term at Waterloo.

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332Ass22011 - AMATH/PMATH 332: Assignment 2 Due: Monday, 31...

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