Math 3160 - 1 Spring 2015 Schedule and Problem List 4 - 23 - 15 Homework listed for Thursday and Tuesday is due the following Thursday. The problems are from the textbook for the course, Brown and Churchill, "Complex variables and Applications, 9th ed." The problems from other editions may be different than in this edition. You are responsible for making sure you are doing the assigned problems. Problem listings for future assignments are tentative and may change. Day Section Topic Page[ Problem Numbers] ------------- ----------- -------------------- ---------------------- T, Jan. 13 1-4 Complex Numbers 4[2,3,5,11], 7[1,2,5], 13[[1,5] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 15 5-6 Geometric Properties 16[1,2,7,9], T, 20 7-11 Polar Coordinates 23[1,2,4,6,8], 30[2,3,6,8] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 22 12-13 Topology 34[1,2,4,5,7], T, 27 14-16 Analytic Functions 43[1,2,3], 54[1,2,5] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 29 17-18 Limits 55[10,11], T, Feb. 3 19-20 Derivatives 61[2,3,4,7,8,9] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th, 5 21-24 Cauchy-Riemann Eqns 70[1,2,3,4,6,8] T, 10 Review ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 12 FIRST MIDTERM EXAM T, 17 25-26 Analyticity 76[1,2,3,4,7] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 19 25-29 Harmonic Functions 79[1,2,3], 84[2,3] T, 24 30-33 Exponential / Log 89[1,3,8,13], 95[2,5,8] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 26 34-36 Trigonometric Fns 99[1], 103[1,2,6,9] T, Mar. 3 37-43 Complex Integrals 107[1,7,15], 111[1,3] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th, 5 44-47 Contour Integrals 119[2], 123[2], T, 10 48-49 Antiderivatives 132[1,3,5,7], 138[1,2,3,5] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 12 50, 52 Cauchy-Goursat Th. 147[1,2,5], 159[1f,2c,3,6,7] T, 17 Spring Break Th 19 Spring Break T, 24 Review ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 26 SECOND MIDTERM EXAM T 31 53-54 Cauchy Int. Formula 170[1a-c,2,3] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th, Apr. 2 54-57 Cauchy Int. Formula 177[1,4], 185[1,4] T, Apr. 7 60-65 Power Series 195[1,2,3,9] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 9 66-73 Laurent Series 205[2,3,5], 218[1,3] T, 14 74-75 Residues 224[1,3], 237[2] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 16 76-79 Cauchy Residue Th 242[1,2,3], 246[2,3,4] T, 21 80-83 Zeros & Poles 253[2,5] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 23 85-88 Improper Integrals Not to be turned in: T, 28 Review 264[3,8], 273[3,9] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ F, May 1 10:30 AM - 12:30 PM FINAL EXAMINATION