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