MAT4574 Complex Analysis


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All course materials (notes, homework, solutions) will be posted on the course canvas page. (CRN 86683, CRN 86684)

Schedule

Below is a schedule of the semester and roughly what I intend to cover each week.
  • Oct 19 - Oct 23
    (Section 19.1) Geometry and Arithmetic of Complex Numbers
    (Section 19.2) Complex Functions
    (Section 19.3) The Exponential and Trigonometric Functions
  • Oct 26 - Oct 30
    (Section 19.4) The Complex Logarithm
    (Section 19.5) Powers
    (Section 20.1) The Integral of a Complex Functions
  • Nov 02 - Nov 06
    (Section 20.2) Cauchy's Theorem
    (Section 20.3) Consequences of Cauchy's Theorem
    Review
    EXAM 3 @ [time] and [date]
  • Nov 09 - Nov 13
    (Section 21.1) Power Series
    (Section 21.2) The Laurent Expansion
    (Section 22.1) Singularities
  • Nov 16 - Nov 20
    (Section 22.2) The Residue Theorem
    (Section 22.3) Evaluation of Real Integrals
    (Section 22.4) Residues and the Inverse Laplace Transform
  • Nov 30 - Dec 04
    (Section 23.1) Conformal Mappings
    (Section 23.2) Construction of Conformal Mappings
    (Section 23.3) Conformal Mapping Solutions of Dirichlet Problems
  • Dec 07 - Dec 09
    (Section 23.4) Models of Plane Fluid Flow
    Review
  • Dec 15 Final Exam @ 2:05pm on Canvas


Exam Topics

Each exam covers the following sections from the course textbook:
  • Exam 3 - Sections 19.1 - 19.5, 20.1 - 20.3
  • Final Exam - Sections 21.1 - 21.2, 22.1 - 22.4, 23.1 - 23.4


Exam Reviews

Review past homework assignments, and consult your book for problems of comparable difficulty.

Office Hours


Office: WXLR Tower 434

My official office hours are listed below.

Monday        
Tuesday 4:00pm - 5:30p Room WXLR A303
Wednesday
Thursday 4:00p - 5:30p Room WXLR A303
Friday


If you cannot make those, I am available by appointment (in my office) and by email.