MATH 508 Introduction to Complex Variables and Applications

Spring 2012

Syllabus

MATH 508 Introduction to Complex Variables and Applications

Spring 2012 - University of Delaware



Basic information about the course

  • Course description: Introduction to analytic functions, contour integration, power series, residues and conformal mapping
  •  Instructor: Francisco-Javier Sayas. Department of Mathematical Sciences, University of Delaware. 532 Ewing Hall. E-mail: fjsayas (at) math.udel.edu
  •  Textbook: Edward B. Saff & Arthur D Snider. Fundamentals of Complex Analysis with Applications to Engineering and Science (3rd edition). The textbook will be used for exercises, reading and as a source of well drawn figures
  •  Lecture times: McDowell Hall 106. Tuesday and Thursday, 12:30pm to 1:45pm
  •  Office hours: Monday and Wednesday, 9:00am to 10:30am (at Ewing Hall 532) or by appointment. Do not hesitate to ask for appointments for office hours if you cannot make it at the scheduled times or you have an urgent question. Asking question by e-mail is NOT recommended.
  •  Course website: http://math.udel.edu/~fjsayas/teaching/math508/
  •  List of topics:
  1. Complex numbers
  2. Analytic functions
  3. Elementary functions
  4. Complex integration
  5. Series representations for analytic functions
  6. Residue Theory
  7. Conformal Mapping


Evaluation

Part of the grade will reflect the quality of the argumentation and the clarity of its exposition. Solutions limited to formulas spread over the page will get less credit than solutions that are explained. Use the book as an example of how to write.
The final grade is composed of the grades obtained in quizzes, homework assignments and two exams. There will not be make-up quizzes and all assignments have to be delivered on the due date. No late assignments will be accepted.


In class quizzes
200
Best four grades out of five quizzes (50 points each)
Homework
100
Best four grades out of five assignments (25 points each)
Midterm exam (March 22)
350

Final exam
350

TOTAL
1000






Important information

Attendance policy. Attendance to the lectures is highly encouraged and will be taken into account in cases where round-off is needed in the final grade.
Academic honesty. As worded by the University of Delaware All students must be honest and forthright in their academic studies. To falsify the results of one's research, to steal the words or ideas of another, to cheat on an assignment, or to allow or assist another to commit these acts corrupts the educational process. Students are expected to do their own work and neither give nor receive unauthorized assistance. Any violation of this standard must be reported to the Office of Student Conduct.  For more details, check http://www.udel.edu/stuguide/11-12/code.html#honesty. Unless you are asked to do so in a concrete assignment, you cannot colaborate with your colleagues in assignments and projects. Cheating of any kind (even if the student does not take any advantage from it) will be grounds for an F grade.