**Instructor**
Araceli Bonifant

Office: 202 G Lippitt Hall

Phone: 4-4394

Email: bonifant@uri.edu

**Office Hours:**

**Textbook:** Basic Complex Analysis

Jerrold E. Marsden and Michael J. Hoffman

W.H Freeman, ISBN: 0070109052

**About the course:** You will learn to work with complex numbers and
functions of one complex variable.

At the end of the course you will be able to compute limits, derivatives, contour integrals and antiderivatives of functions of one complex variable. You will learn about the convergence of sequences and series.

You will learn important concepts and theorems such as: the definition of Cauchy-Riemann equations, definition of harmonic functions, the exponential function, trigonometric functions, logarithmic functions, the Cauchy-Goursat theorem, the Cauchy integral formula, Liouville's theorem, Fundamental theorem of Algebra, Taylor series, Laurent series, absolute and uniform convergence of power series, residues theorems, residues at poles, zeros and poles of order m.

Time permitting you will be able to evaluate improper integrals and learn the Argument Principle and the Rouche's theorem.

**Prerequisites:** MTH 243 or equivalent.

**Standards of behaviour:** Students are responsible for being familiar
with and adhering to the published "Community Standards of Behavior:
University Policies and Regulations" which can be accessed in the University
Student Handbook. If you must come in late, please do not disrupt the class.
**Please turn off all cell phones, pagers, or any electronic devices.**

**Special Accommodations:** Any student with a documented disability is
welcome to contact me as early in the semester as possible so that we may
arrange reasonable accommodations. As part of this process, please be in
touch with Disability Services for Students Office at 330 Memorial Union,
401-874-2098.

** Grading Policy:**

Your grade will be determined by your scores on

Midterm : 100pts Final : 200pts (cumulative) Quizzes : 100pts Total : 400pts

**Homework:** Homework will be assigned weekly but not collected or
graded. However the weekly or biweekly quiz may be based on homework
assignments. If you
do your weekly homework assignments you will have no problem with the quiz.

**Quizzes:** There will be weekly or biweekly quizzes. The quiz will
be given on Thursday. I will drop the lowest quiz at the end of the term.

There will be no make up quizzes or exams.

**Exam Schedule:**

Midterm : Thursday October 26th.

Final Exam: December 14th, 11:30 AM - 2:30 PM