Math 6220 - Complex Analysis

Spring 2009

Spring 2009

Instructor: Ken Bromberg

Office: JWB 303

Phone: 581-7916

Email: bromberg@math.utah.edu

Meeting place and time: MWF 12:55 - 1:45 in JWB 308

Text: Lars V. Ahlfors, Complex Analysis, 3rd Ed. Although the book is quite expensive you can almost surely find a much cheaper used copy on Amazon or abe.com.

Course description: This will be a standard first year graduate class in complex analysis and it will prepare students for the complex analysis half of the analysis prelim. For most of the course we will probably follow the text but in some places I will take a different approach. The main novel feature of the course will be that we will use 2-dimensional hyperbolic geometry to prove some of the standard compactness results for holomorphic maps.

Homework: There will be weekly homework assignments. The underlined problems will be handed in and graded. Late homework will not be accepted.

Due Date |
Assignment |

Friday, January 23 |
Chapter 1 1.1: 1,2,3; 1.2: 1,2,3,4; 1.4: 1,2,3,4,5; 1.5: 1,2,3,4; 2.1: 2,4; 2.2: 1,2,4,5; 2.3: 1,2,5; 2.4: 1,4 |

Wednesday, February 4 |
Chapter 2 1.2: 1,2,4,5,6,7; 1.4: 2,3 Extra problems |

Monday, March 2 |
Chapter 3 1.4: 4; 3.1: 2,4; 3.2: 1,3,4 Chapter 4 1.3: 1,2,4,5; 2.1: 1,2,3; 2.2: 1,2,3; 2.3:1,2,3,4,5 |

Friday, March 13 |
Chapter 4 3.2: 1,2,3,4,5,6 |

Friday, April 3 |
Chapter 4 3.3: 4; 3.4: 1,2 |

Wednesday, April 15 |
Chapter 4 4.7: 1,5; 5.2: 1,2,3 5.3: 1, 3b, 3e, and as many of the rest of 3 as you can bare |

Friday, May 1 |
Chapter 4 6.2: 1,2; 6.4: 1,2; 6.5: 3,5 Chapter 5 1.1: 1,5; 1.2: 1,5; 1.3: 1,2; 5.5: 1,3 |

Problem sets and problem sessions: There is a student organized problem session on Tuesdays from 3:30 - 4:30 in LCB 222.

Final: The final is 1-2:30 PM on Tuesday, May 5. It will be replica of the complex analysis half of the analysis prelim.

Grades: Your grade will be determined by your homework scores and the final. Roughly speaking if I think you have a good chance of passing the prelim you will get an A.