MTH 462 
Functions of One Complex Variable
TuTh 12:30 PM -1:45 PM
Pastore Hall 219

Instructor    Araceli Bonifant  
Office: 202 G Lippitt Hall
Phone: 4-4394

Office Hours:

Textbook: Basic Complex Analysis
Jerrold E. Marsden and Michael J. Hoffman
W.H Freeman, ISBN: 0070109052

About the course: You will learn to work with complex numbers and functions of one complex variable.

At the end of the course you will be able to compute limits, derivatives, contour integrals and antiderivatives of functions of one complex variable. You will learn about the convergence of sequences and series.

You will learn important concepts and theorems such as: the definition of Cauchy-Riemann equations, definition of harmonic functions, the exponential function, trigonometric functions, logarithmic functions, the Cauchy-Goursat theorem, the Cauchy integral formula, Liouville's theorem, Fundamental theorem of Algebra, Taylor series, Laurent series, absolute and uniform convergence of power series, residues theorems, residues at poles, zeros and poles of order m.

Time permitting you will be able to evaluate improper integrals and learn the Argument Principle and the Rouche's theorem.

Prerequisites:  MTH 243 or equivalent.

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.

Grading Policy:

Your grade will be determined by your scores on

  • Midterm                                     : 100pts
  • Final                                            : 200pts    (cumulative)
  • Quizzes                                       : 100pts
  • Total                                            : 400pts
  • Homework: Homework will be assigned weekly but not collected or graded.  However the weekly or biweekly quiz may be based on homework assignments.  If you do your weekly homework assignments you will have no problem with the quiz.

    Quizzes: There will be weekly or biweekly quizzes.  The quiz will be given on Thursday.  I will drop the lowest quiz at the end of the term.

    There will be no make up quizzes or exams.

    Exam Schedule:

    Midterm :           Thursday October 26th.         
    Final Exam:       December 14th, 11:30 AM - 2:30 PM  

    The Expert in anything 
    was once a Beginner!