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.