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Dalhousie University
Mathematics and Statistics

Carl Friedrich Gauss
(1777 - 1855) 		       

Introduction to Complex Variables

MATH 3080

Dalhousie University
Department of Mathematics and Statistics
        
Augustin-Louis Cauchy
(1789-1857)
"The shortest path between two truths in the real domain
passes through the complex domain. "
- Jacques Hadamard (1865 - 1963)
  • Basic Information:
    • Instructor: Karl Dilcher (dilcher@mathstat.dal.ca)
    • Office: Chase Building Room 325; ph.: 494-3784
    • Office hours: M-W: 1:30 - 2:30 pm, F: 11:30 - 12:30, or by appointment
    • Class time: M-W-F, 12:35 - 1:25 pm, in LSC 202
    • First class: Monday, January 4
    • This course will have a presence on OWL (BbLearn)

  • Required Coures Materials (available in Dal Bookstore):

    1. Course Notes: "Introduction to Complex Variables".
    2. Textbook: Stephen D. Fisher, “Complex Variables”, 2nd Ed., Dover Publications, 1999.

  • Course Description:
    Please see the Calendar entry.

  • Prerequisites:
    MATH 2002 or Instructor's permission.

  • Course Outline:
    • 1. Introduction
    • 2. Complex Numbers
    • 3. Complex Functions
    • 4. Integration
    • 5. Consequences of Cauchy’s Theorem
    • 6. Laurent Series and Singularities
    • 7. Residues

  • Evaluation:

    • Weekly assignments: 30%
    • Midterm test: 30% (in class, Wednesday, February 24)
    • Final exam: 40% (Saturday, April 16, 3:30-6:30 pm. Location TBA).

    Conversion to letter grades (Dalhousie Common Grade Scale):
    90-100 A+    77-79 B+    65-69 C+    50-54 D
    85-89 A 73-76 B 60-64 C < 50 F
    80-84A-  70-72 B- 55-59 C-

  • Smartphone policy:

    I request that you refrain from the use of your smartphone during class.
    The main reasons are:

    • It is distracting to those sitting near you.
    • "Multitasking" doesn't work, as studies have shown; you'll do poorly at both tasks.
    • Concentration is absulutely essential in mathematics. Without the ability to concentrate you will not be able to go beyond a certain (relatively low) level.
    • Please consider your classes (not just this one) as opportunities to practice concentrating on just one task.
    Thank you for your consideration.

  • Students With Disabilities
    ... are encouraged to register as quickly as possible at the Student Accessibility Services if they wish to receive academic accommodations. To do so please phone 494-2836, e-mail access@dal.ca, drop in at the Mark A. Hill Accessibility Centre, Killam G28, or visit their website. Students are also reminded that all forms are now available on their website.

  • Intellectual Honesty
    This course, as all other courses, is subject to the university's Intellectual Honesty guidelines; please see the appropriate section in the Undergraduate Calendar.

    January 7, 2016
    Created and maintained by Karl Dilcher