Etcheverry 3107, Tuesdays and Thursdays from 8-9:30 AM

Mondays 8.10-9.40 am, Fridays 11-12am Evans Hall 859

If you have any questions about the course and matherial please come see me.

Please email me and ask for appointment if the office hours time is not convenient for you.

Brown and Churchill, Complex Variables and Applications, 9th edtition

Gamelin, *Complex Analysis*, Elias Stein and Rami Shakarchi, *Complex Analysis*

**Grading**: 30% Homework, 30% Midterms, 40% Final.

TA:

Brandon Thomas Williams will be helping with questions and proble solving

Tu/Th 10-12am and MFW 1-3pm at Evans 732.

There will be one homework every one or two weeks. They will be posted on this page together with the due date. Late homework will not be accepted under any circumstance. However, your two lowest homework grades will not be included in the final grade calculation. Discussing of the problems with other students is encouraged.

There will be two midterm exams on September 15 and November 8. The midterms will be in class. The final exam is on Wed. December 14, 3pm-6pm at Tan 180. In the case of a fire alarm during either of the midterms or the final exam, leave your exams in the room, face down, before evacuating. Under no circumstances should you take the exam with you.

If you have a documented disability and require special accommodations of any kind, please e-mail me as soon as possible, and no later than September 13.

Numbers in the reading section correspond to Brown and Churchill, 9th edition book.

# | Date | Topic | Readings | Hw | Notes |

1 | 8/25 | Introduction, basics of complex numbers | 1-8 | ||

2 | 8/30 | Analytic funcrions, mappings, exponent | 9-14 | HW1 Out | |

3 | 9/1 | Limits, continuity, derivatives | 15-20 | ||

4 | 9/6 | Cauchy-Riemann equations |
21-24 | ||

5 | 9/8 | Analytic functions | 25-27 | HW1 Due | |

6 | 9/13 | Problem Solving | 20-40 | HW2 Out | |

7 | 9/15 | Miderm1 | |||

8 | 9/20 | exp and log | 30-34 | ||

9 | 9/22 | Midterm solution, power and trig fucntions | 35-40 | ||

9 | 9/27 | Integrals | 40-44 | HW3 Out, HW 2 Due | |

10 | 9/29 | contour integrals | 44-47 | ||

11 | 10/4 | antiderivatives | 48-49 | HW 3 Due, HW4 Out | |

12 | 10/6 | Cauchy Goursat theorem | 50-53 | ||

13 | 10/11 | Cauchy integral formula | 54 | HW 4 Due,HW5 Out | Notes1 |

14 | 10/13 | extension of CIF | 55-57 | Notes2 | |

15 | 10/18 | Liouville's theorem, max modulus | 58-59 | HW5 Due, HW6 Out | |

16 | 10/20 | Taylor series | 60-64 | ||

17 | 10/25 | Laurent series | 65-68 | HW6 Due HW7 Out | |

18 | 10/27 | Integration differentiation of series | 69-72 | ||

19 | 11/1 | Operations on power series | 73 | ||

20 | 11/3 | Problem solving for midterm | 41-73 | HW7 Due | |

21 | 11/8 | Midterm 2 | |||

22 | 11/10 | Residues and poles 1 | 74-84 | ||

23 | 11/15 | Residues and poles 2 | 74-84 | HW8 Out | |

24 | 11/17 | Applications of residues 1 | 85-90 | ||

25 | 11/22 | Applications of residues 1 | 90-95 | HW8 Due, HW9 Out | |

26 | 11/24 | No class, academic holiday | |||

27 | 11/29 | Mappings by elementary fucntions | 96-111 | ||

28 | 12/1 | Conformal mappings | 112-117 | ||

29 | 12/6 | Applications 1 | 118-121 | ||

30 | 12/8 | Applications 2 | 122-126 | ||

31 | 12/14 | Final exam, 3-6pm at 180 Tan |