Instructor : Carlos Berenstein
Text: Complex Variables, an introduction, Revised First Edition, Carlos A. Berenstein and Roger Gay. Graduate Texts in Mathematics 125, Springer-Verlag.
The main objective of the course is to introduce the students to one of the fundamental areas in Mathematics, Complex Analysis. There are several aspects of this subject: geometric (e.g.,conformal mappings), computational (power series, residue theory, applications to number theory), etc. We shall emphasize all these aspects, as it usually the case, but also exploit the relation to partial differential equations and functional analysis through the subtantial use of the Cauchy-Riemann equations as a method of proof and discovery. An additional objective is to allow the students to pass with good grades the Analysis portion of the Quals.
Grading Policy There will also be two ``hour'' examinations and a final exam. Homework will be assigned and discussed in class but not graded.
| Hour Exams | 30% each | ||
| Final Exam | 40% | ||
Make-up Policy: Make-up examinations will be given only in the case of an absence caused by illness, religious observance, participation in a University activity at the request of University authorities, or compelling circumstances beyond the student's control. If you miss an exam, please present convincing reasons for your absence (doctor's note,...) as soon as possible. If possible, an absence should be arranged before the exam.
Students With Disabilities: If you have a documented disability and wish to discuss available academic accommodations, please contact me as soon as possible.
Tentative schedule of exams:
| Exam | Date | |||
| Exam #1 | October 4 | |||
| Exam #2 | November 1 |
Final Exam: Tuesday, December 18, 8:00-10:00 am.
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