MTH562 
Complex Function Theory
 
Tuesday - Thursday 12:30-1:45 PM
Lippitt Hall 201

Instructor    Araceli Bonifant  
Office: Lippitt Hall 202 G
Phone: 874-4394
Email: bonifant@uri.edu

Office Hours:

Book: Functions of One Complex Variable I, by John B. Conway, Second Edition

Course Description. Rigorus development of the theory of holomorphic (analytic) functions.
Students are responsible for reading for Chapters I and II of the book. Chapter I is covered in MTH 462 at URI, Chapter II is somewhat covered in MTH 435 and MTH436.

Prerequisites. MTH 435-MTH 436 or MTH 437-MTH438 or permission of instructor.


Tentative List of Topics:

  • Chapter III: Elementary Properties and Examples of Analytic Functions

  • Chapter IV: Complex Integration

  • Chapter V: Singularities

  • Chapter VI: The Maximum Modulus Theorem

  • Chapter VII: Compactness and Convergence in the Space of Analytic Functions

  • Chapter VIII: Runge's Theorem

  • Chapter IX: Analytic Continuation and Rieman Surfaces

    • Recommended Reading:
    Complex Analysis - Lars V. Alfors, McGraw-Hill, 3rd edition, 1979
    Complex Analysis - Serge Lang, Springer, 4th edition,1999

    Evaluation Policy:

  • Homeworks                                 30%
  • Midterm                                          35 %    Thursday March 8th
  • Final Exam                                     35 %     Tuesday May 8th,        11:30 AM - 2:30 PM

    • 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.