Math 3160 - 1               Schedule and Problem List              Spring 2006
        
Homework listed for Thursday and Tuesday is due the following Thursday. 

  Day               Section           Topic               Page[ Problem Numbers]
-------------     -----------     --------------------    ----------------------       

 T, Jan.   10        1Ð 2         Complex Numbers         4[2,3,5,8,10],
                                                          7[1,2,5]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th        12        3Ð 5         Geometric Properties    11[[1,4], 
                                                          13[1,2,8,10]
  T,       17        6Ð 7         Polar Coordinates       21[1,2,4,6,8]                                
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th        19        8Ð10         Roots                   28[2,3,6,8], 
                                                          31[1,2,4,5,7]
  T,       24       11Ð13         Analytic Functions      35[1,2,3], 
                                                          42[1,3,7,8]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th        26        14Ð17        Limits                  53[2,3,5,9,10,11]
  T,       31        18Ð19        Derivatives             59[1,3,4,8,9]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th, Feb.   2        20Ð22        Cauchy-Riemann Eqns     68[1,2,3,4,6,10]
  T,        7        23Ð24        Analyticity             73[1,2,3,4,7a]                                
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th         9        25Ð27        Harmonic Functions      78[1,3,4,7,8], 84[2,3]
  T,       14                     Review
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th        16                     FIRST MIDTERM EXAM
  T,       21        28Ð30        Exponential / Log       89[1,3,8,13], 
                                                          94[2,5,8]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th        23        31Ð32        Complex Exponents       96[1,4], 99[2,3,6,7,9]
  T,       28        33Ð34        Trigonometric Fns       103[2,5a], 107[1,3]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th,Mar.    2        36Ð37        Definite Integrals      115[2]
  T,        7        38Ð          Contour Integrals       120[4,5], 128[1,3,5,6]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th         9        42Ð43        Antiderivatives         141[2,3,5]
  T,       14       Spring Break                                                
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th        16       Spring Break        
  T,       21        44 46        Cauchy-Goursat Th.      153[1a-c,2a,6]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~


 Th        23        47Ð48        Cauchy Int. Formula     162[1a-c,2,3]
  T,       28                     Review
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th        30                     SECOND MIDTERM EXAM
  T, Apr.   4        51Ð54        Power Series            181[1,2,3,4], 
                                                          188[1,2,3,6]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th         6        55Ð56        Laurent Series          198[2,3,5], 218[1,3]
  T,       11        61Ð63        Residues                218[1,3], 
                                                          230[1ab,2a-c,3ab]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th        13        64Ð67        Cauchy Residue Th       233[1,2,3], 238[1,2,3]
  T,       18        68Ð69        Zeros & Poles           245[2,4]
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 Th        20        71Ð73        Improper Integrals      257[1,3], 264[2,5]
  T,       25                     Review                                                  
                                                ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

 F,        28        10:30 AM     FINAL EXAMINATION