Complex Variables (Math 417)

Instructor: M. Kate Kearney
E-Mail: kearney@gonzaga.edu
Office Number: Herak 227B
Office Hours: 1:00-2:00 MWF (Monday in Math lab), 2:00-3:00 Th or by appointment

Homework: Is posted here.

Course Announcements:

Useful links:


Course description: Complex numbers and functions, analyticity and the Cauchy-Riemann equations, integration, and Cauchy's theorem and formula. Other topics chosen from Taylor and Laurent series, the calculus of residues, conformal mapping, and applications.

Prerequisite: Math 301 (grade of D or higher)

After completing this course students will be able to:
• correctly use new terminology relevant to complex variables.
• underdstand properties of complex numbers and functions on complex numbers.
• be well-versed in a variety of examples of functions on complex numbers.
• appreciate the depth of the field of Complex Analysis, and its similarities and differences from Real Analysis.
• prove basic facts about complex numbers and functions.

Class meets MWF 9:00-9:50 in PACCAR 003. In accordance with Gonzaga's attendance policy you should not miss more than 6 meetings of this course.

We will be using the book Complex Variables and Applications, Ninth Edition by James Ward Brown and Ruel V. Churchill.

Grades will be assigned based on the following:
Homework40%
Presentations and Participation20%
Exams40%

Homework will be due approximately once a week. Homework assignments will be announced in class and subsequently posted on this webpage. Late homework will be accepted for up to 50% credit for up to one week after the due date.

Presentations I would like students to be actively involved in the development of course material. With this in mind, I will be asking you to present material from the book. You should present 3 times over the course of the semester, on your choice of material. You may chose any theorem from the textbook to present, and should notify me at least one week in advance that you would like to present your theorem. If multiple students request the same theorem, it will the given to the student who requests first. Some theorems may have longer proofs and may be done in parts (I will notify you as these come up).

You may also complete some of your presentations by responding to homework questions. Once a week we will allow time for homework questions. If a classmate asks a question, you can volunteer a solution to the problem. This will count as one of your presentations. At least one of of the three presentations must be a proof presentation.

Your presentation will primarily be graded on completion, although you should be comfortable with the material and prepared to answer questions from classmates. Lack of preparedness may result in deduction of points.

Your presentation and participation grade will be determined as follows:
--- Up to 10 points will be awarded for participation. You will receive full credit if you participate in every class. Each absence will result in a deduction of .5 points.
--- You may also earn up to 10 points for presentations. A presentation of a proof will earn up to 5 points. A presentation of homework problems will receive up to 2.5 points. At least one of the presentations must be a proof presentation.

Midterm Exam is scheduled for Wednesday, March 6. Exam date will be confirmed at least two weeks prior to the exam. Make-ups must be confirmed with your Professor at least 24 hours prior to the exam.

Final Exam will be held as scheduled by the University on Wednesday, May 8, 8:00-10:00 am. The final will focus on material from the second half of the course, and will be weighted equally to the midterm.


Makeup Examinations
Make up exams will be given at the discretion of the instructor. You must have approval from your instructor to take a make up exam.

Travel Arrangements
Please make travel arrangements for holidays, weekend getaways, family celebrations, volunteer work, and advisor/doctor appointments so there are no class conflicts.

Academic Integrity
While collaboration and good use of resources are important for the learning process, you are expected to complete all your work on your own. You may talk with other people about how to solve homework problems, but your write-up should be done individually. Quizzes and tests are strictly your own work and any evidence of sources outside your own brain will be considered cheating. Sharing your work inappropriately with another student is also considered cheating.

Any cases of cheating will be dealt with seriously. You will be asked to meet with me and the math department chair. Severe cases may result in failure of the course and will be reported to the Dean.

Please refer to the student handbook for a description of the University's Academic Honesty policy.



A NOTE ON HARASSMENT, DISCRIMINATION AND SEXUAL MISCONDUCT:

Consistent with its mission, Gonzaga seeks to assure all community members learn and work in a welcoming and inclusive environment. Title VII, Title IX and Gonzaga's policy prohibit harassment, discrimination and sexual misconduct. Gonzaga encourages anyone experiencing harassment, discrimination or sexual misconduct to talk to someone from the Campus and Local Resources list found in the Student Code of Conduct Website: http://www.gonzaga.edu/Student-Life/Community-Standards/Student-Code-of-Conduct.asp about what happened so they can get the support they need and Gonzaga can respond appropriately. There are both confidential and non-confidential resources and reporting options available to you. Gonzaga is legally obligated to respond to reports of sexual misconduct, and therefore we cannot guarantee the confidentiality of a report, unless made to a confidential resource. Responses may vary from support services to formal investigations. As a faculty member, I am required to report incidents of sexual misconduct and thus cannot guarantee confidentiality. I must provide our Title IX coordinator with relevant details such as the names of those involved in the incident. For more information about policies and resources or reporting options, please visit the following websites: www.gonzaga.edu/eo and www.gonzaga.edu/titleix.

NOTICE TO STUDENTS WITH DISABILITIES/MEDICAL CONDITIONS:

The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides reasonable accommodation for their disabilities. If you believe you have a disability/medical condition requiring an accommodation, please call or visit the Disability Access office (room 209 Foley Library, 509-313-4134).

CLASS ATTENDANCE:

I follow strictly the university's standard policy on absences: the maximum allowable absence is two class hours (100 minutes) for each class credit. For a three-credit class meeting three times a week, the maximum number of absences allowed is six. For a three-credit class meeting twice a week, the maximum number of absences allowed is four. The grade for excessive absences is "V", which has the same effect as "F" (Fail) and is counted in the GPA. (See also "Class Attendance Policy" on page 68 of the University's online catalogue: http://www.gonzaga.edu/catalogues/PDF-archive/2014-2015UGCatalogue.pdf)

ACADEMIC HONESTY:

Academic honesty is expected of all Gonzaga University students. Academic dishonesty includes, but is not limited to cheating, plagiarism, and theft. Any student found guilty of academic dishonesty is subject to disciplinary action, which may include, but is not limited to, (1) a failing grade for the test or assignment in question, (2) a failing grade for the course, or (3) a recommendation for dismissal from the University. (See also "Academic Honesty" on page 67 of the University's online catalogue: http://www.gonzaga.edu/catalogues/PDF-archive/2014-2015UGCatalogue.pdf )

COURSE EVALUATION:

At Gonzaga, we take teaching seriously, and we ask our students to evaluate their courses and instructors so that we can provide the best possible learning experience. In that spirit, we ask students to give us feedback on their classroom experience near the end of the semester. I will ask you to take a few minutes then to carry out course/instructor evaluation on-line. Please know that I appreciate your participation in this process. This is a vital part of our efforts at Gonzaga to improve continually our teaching, our academic programs, and our entire educational effort.