Math 3160 - 1 Spring 2015 Schedule and Problem List 1 - 13 - 15 Homework listed for Thursday and Tuesday is due the following Thursday. Problem listings for future assignments are tentative and may change. Day Section Topic Page[ Problem Numbers] ------------- ----------- -------------------- ---------------------- T, Jan. 13 1- 3 Complex Numbers 4[2,3,5,8,10], 7[1,2,5], 11[[1,4] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 15 4- 5 Geometric Properties 13[1,2,8,10] T, 20 6- 8 Polar Coordinates 21[1,2,4,6,8], 28[2,3,6,8] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 22 9-10 Roots 31[1,2,4,5,7] T, 27 11-13 Analytic Functions 35[1,2,3], 42[1,3,7,8] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 29 14-17 Limits 53[2,3,5,9,10,11] T, Feb. 3 18-19 Derivatives 59[1,3,4,8,9] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th, 5 20-22 Cauchy-Riemann Eqns 68[1,2,3,4,6,10] T, 10 Review ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 12 FIRST MIDTERM EXAM T, 17 23-24 Analyticity 73[1,2,3,4,7a] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 19 25-27 Harmonic Functions 78[1,3,4,7,8], 84[2,3] T, 24 28-30 Exponential / Log 89[1,3,8,13], 94[2,5,8] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 26 31-32 Complex Exponents 96[1,4], 99[2,3,6,7,9] T, Mar. 3 33-34 Trigonometric Fns 103[2,5a], 107[1,3] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th, 5 36-37 Definite Integrals 115[2] T, 10 38- Contour Integrals 120[4,5], 128[1,3,5,6] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 12 42-43 Antiderivatives 141[2,3,5] T, 17 Spring Break Th 19 Spring Break T, 24 Review ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 26 SECOND MIDTERM EXAM T 31 44 46 Cauchy-Goursat Th. 153[1a-c,2a,6] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th, Apr. 2 47-48 Cauchy Int. Formula 162[1a-c,2,3] T, Apr. 7 51-54 Power Series 181[1,2,3,4], 188[1,2,3,6] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 9 55-56 Laurent Series 198[2,3,5], 218[1,3] T, 14 61-63 Residues 218[1,3], 230[1ab,2a-c,3ab] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 16 64-67 Cauchy Residue Th 233[1,2,3], 238[1,2,3] T, 21 68-69 Zeros & Poles 245[2,4] ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Th 23 71-73 Improper Integrals 257[1,3], 264[2,5] T, 28 Review ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ F, May 1 10:30 AM - 12:30 PM FINAL EXAMINATION