Math 621

Complex Analysis

Spring Semester 2011

**Instructor:** Dr. Farshid
Hajir. Office: Lederle Graduate Research Tower
1118. Phone: 545-6015. e-mail: * hajir@math.umass.edu*

I encourage you to use the email address above to send me questions
about the homework or to set up an appointment.

**Homepage URL:** http://www.math.umass.edu/~hajir

You can find a link to this course information sheet from my homepage.

**Description:** This course will cover the basic theory of
functions of one complex variable, at a pace that will allow for the
inclusion of some non-elementary topics at the end. Basic Theory:
Holomorphic and harmonic functions; conformal mappings; Cauchy's
Theorem and consequences; Taylor and Laurent series; singularities;
residues; Dirichlet Series such as the Riemann Zeta Function and/or
other topics as time permits. There will be regular problem
assignments, a midterm exam, and a final exam.

**Text:** E. Stein, and R. Shakarchi, *Complex Analysis,*
Princeton 2003.

**Prerequisites:** Advanced Calculus. Students are expected to
have a working knowledge
of complex numbers and functions at the
level of M421, for example.

**Meeting Time and Place**: Tues Thurs 9:30-10:45 am,
LGRT 1322.

**Office Hours**: Tentatively Tue 2-3, Wed 2-3.
During the first two weeks, my office hours
will be posted on my office door. After the first two weeks, my
permanent office hours will be announced in class and posted on my
website. You are always welcome to set up an appointment to see me by
e-mail or phone.

** Homework
Problems:** They'll be listed separately at
The Homework Page.

**Exams:** There will be a midterm exam, and a comprehensive
final, to be scheduled.

**Grading:** Homework and class
participation (30%), Midterm (30%), Final (40%).

A |
>= 90% |

A- |
>= 86% and < 90% |

B+ |
>= 82% and < 86% |

B |
>= 78% and < 82% |

B- |
>=74% and < 78% |

C+ |
>= 70% and < 74% |

C |
>=65% and <70% |

C- |
>=60% and < 65% |

D |
>=55% and < 60% |

F |
below 60% |

**Homework, Attendance, and Collaboration**:
Attendance and class
participation are important, as are the homework assignments. You may
occasionally be asked to present a homework problem on the board.
I recommend that you WORK WITH YOUR FELLOW STUDENTS IN GROUPS!!
If you are stuck on a problem and seek help from an instructor or a
fellow student, you owe it to yourself to aim for an understanding of
the concepts and ideas that come up in the discussion (do not just
memorize the series of steps leading to the solution). Then, go home
and reconstruct the argument for yourself in the privacy of your own
brain, to make sure you are not merely reproducing mindlessly
something you have not thought through. It is of paramount importance
that you do the write-up completely independently. Failure to do so
will be cause for disciplinary action.