MATH 463 Midterm: MATH463 ADAMS-W SPRING2002 0201 MID EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 463
• Professor: All

Document Summary

This is an open book exam: (20 points) (a) find the real and imaginary parts of 5+3i. 2 2i + (i + 1)(i + 2). (b) determine arg e (c) show roughly, but neatly, where the following points lie in the complex plane: 3 i(1 i)7. z1 = 5 6i, z2 = 4. 1 + 1. 9i, z3 = 5ei 7 . < , then the function is not continuous on the negative real axis: (15 points)use the cauchy-riemann equations to show that the function f (z) = ex2. Y2 (cos 2xy + i sin 2xy) is entire: (20 points)consider the in nite horizontal strip pictured below, bounded by the lines y = /2, x = 0, y = /2 for x 0.