Math 471.   Section 1. Complex Variables.  Fall 2006

Instructor: Dr. Susana A. Salamanca-Riba, office SH 260, telephone 646-2305.

My web page:  email:
Class meets:
Mondays, Wednesdays and Fridays, 10:30-11:20 AM in SH 109
Office Hours: Mondays, Wednesdays and Fridays, 11:30-12:30 AM in SH 260 (Subject to change within the first week)

Prerequisites: Grade of C or better in Math 391 or both Math 392 and Math 291.

Text: "Complex Variables and Applications". Seventh Edition. By James W. Brown and Ruel V. Churchil, Mc Graw Hill.
Objectives: The goal of this course is to develop skills in applying the theory to real-world problems. Some topics to be covered include: The geometry of complex arithmetic, complex powers, and conformal mappings, plane symmetries, and stereographic projection. Analyticity. the Cauchy integral formula and respresentations of functions; the relationship between the Cauchy-Riemann equations and
Laplace's equation,. Applications to PDE's such as heat flow and wave propogation. The relationship bewteen Laurent series and Fourier series and transforms and Laplace transforms,  the relationship between causality and analyticity, Applications of inversion through contour integrals.

Content: We will cover most of chapters 1 through 10 of the text if there is time. A tentative outline of sections to be covered with approximate dates will be posted in outline next week.




Long Assignments


Midterms (2)


Final Exam


Attendance: You will need to attend regularly in order to do well in this class. If you miss a class, you are responsible for making up the material that was missed. Missing a class is not an excuse for not handing in the homework assignment due at the next class. Arriving in class late and leaving early is disruptive. It interferes with the learning of the other students in the class. Such behavior is not acceptable in this class.

Withdrawals: After missing 3 consecutive homeworks or two weeks of classes I may request the dean of your college to withdraw you from the class. However, it is your responsibility to withdraw from this class if you need to. Do not assume that I will do it for you.

Assignments: There will be weekly assignments. In addition, there will be reading assignments for each class period and a few longer assignments including some applications. Some will be group assignments. I will be giving you more information about this long assignments later on. Assignments must be turned in before or at the start of the class when it is due. An assignment turned in at the end of the class will be considered late. This is to discourage students to work on it during class time. During class, you need your full attention on what is been currently covered.  I urge you to attempt all the problems on the assignments on your own. You can talk to other students. But do that after you have attempted the problem yourself. The goal of the assignments is that you learn by doing them. They are for you to gain more proficiency in the subject.  Since all problems from homework,
or similar ones can appear in the exams, you should try to do them all.

Late assignments will not be accepted. The 3 lowest scores of the assignments will be dropped so that you don't have to worry about missing a couple of assignments. If you have a serious illness or other special circumstances that will cause you to miss more assignments, please contact me as soon as possible.

Graduate Students: There will be extra problems in and a higher level of formality required in your solutions to the assignments
Selected assignment solutions will be posted in homework solutions

In class exams:
There will be 2 midterms throughout the semester. Calculators may only be allowed for some part of the tests. So, you should keep this in mind when doing your homework. You should make sure you only use your calculator when it is appropriate. Conflicts with any of the exam dates should be reported at least two weeks before the test date.

Tentatively, the exam dates are Monday, October 2nd and Friday, November 10th. If you miss a test, a medical certificate or university excuse is required for a makeup. Unless it is an unforeseen circumstance, I need the excuse two weeks before the date of the exam.

The types of questions in this exam will be similar to those in the other tests and in the assignments. The final exam is on Monday, December 11th, 2006.

The minimum standard for an S grade in the course will be a C average.

Calculators: A graphing calculator will be needed for some of the homework and exams problems. Again, they will only be allowed for some part of the test.

Academic misconduct: No behavior in class that interferes with the education of fellow classmates will be tolerated. If there is a problem I will try to address it immediately. If the problem persists I will take appropriate measures. This includes also the question of plagiarism. The procedures to follow are outlined in
Plagiarism: I take cheating very seriously. Everyone, whether intentionally or unintentionally involved in cheating will be equally guilty of academic misconduct and subject to consequences. For more information see

Help: Feel free to ask questions in class or come by my office.
Wireless devices: Cell phones, messaging and personal data assistants (PDA) must be turned off during class and examination periods.

Disabilities: Feel free to call Jerry Nevarez, Director of Institutional Equity, at 505-646-3635 with any questions you may have about NMSU's Non-Discrimination Policy and complaints of discrimination, including sexual harassment.
Feel free to call Michael Armendariz, Coordinator of  Services for Students with Disabilities, at 505-646-6840 with any questions you may have on student issues related to the Americans with Disabilities Act (ADA) and/or Section 504 of the Rehabilitation Act of 1973.  All medical information will be treated confidentially.