MAT 461 - Some Review For Final Posted December 4
These problems are meant to help supplement your studying. They will cover many, but not all of the topics that may appear on the final. 1. Sketch the sets of points determined by the following condit
MAT 461 - Test 2 Practice Posted November 13
1 1. (a) Let f (z) = z(z-1) . Give the two Laurent Series centered at z = 0, one valid 0 < |z| < 1, one valid 1 < |z| < . sin (b) Give the Laurent series centered at z = for f (z) = (z- z)3 . What is the
MAT 461 Assignment D - Solutions Posted November 12 (1) Assume f (z) is analytic on and inside the circle |z| = 4. Show that if f (z) = 0 for every z such that |z| = 4, then f (z) = 0 for every z such that |z| < 4 as well. (That is, show that if f (z
MAT 461 Assignment E - Solutions Posted November 30th 2007 Evaluate the following integrals, where C is the circle |z| = 5 in the positive sense. (1) sin z dz - 1)(z + 10) C The function has singularities at z = 1, -1, -10 of which 1, -1 are inside t
MAT 461 Assignment A - Solutions (1) Sketch the set of points detemined by the given condition. a. filled in circle, radius 5, center 1 - 2i. The circle should pass through the origin. b. line y = x c. circle radius 1, center -2i
d. all below the l