MAT4574 Complex Analysis
MATH 4574  Vector/Complex Analysis
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Course Policies (CRN 86683)
Course Policies (CRN 86684)
WeBWorK problems (.tgz)
All course materials will be posted on the course canvas page.
Course notes (PDF)
Course notes (PDF)
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 19.A) Harmonic Functions

Nov 02  Nov 06
(Section 20.1) The Integral of a Complex Functions
(Section 20.2) Cauchy's Theorem
(Section 20.3) Consequences of Cauchy's Theorem

Nov 09  Nov 13
(Section 20.A) Applications to Harmonic Functions
(Section 21.1) Power Series
(Section 21.2) The Laurent Expansion
 Nov 14 Exam 3 @ All day on Canvas

Nov 16  Nov 20
(Section 22.1) Singularities
(Section 22.2) The Residue Theorem
(Section 22.3) Evaluation of Real Integrals

Nov 30  Dec 04
(Section 22.A) The Point at Infinity and the Riemann Sphere
(Section 23.1) Conformal Mappings
(Section 23.2) Construction of Conformal Mappings
 Dec 07  Dec 09
Review
 Dec 15 Exam 4 @ All Day on Canvas
Exam Topics
Each exam covers the following sections from the course textbook: Exam 3  Sections 19.1  19.A, 20.1  20.A
 Exam 4  Sections 21.1  21.2, 22.1  22.3
Exam Reviews
Review past homework assignments, and consult your book for problems of comparable difficulty.Office Hours
My official office hours are listed below.
Monday  12:00pm  1:00pm  Zoom (6618121099)  
Tuesday  12:30pm  1:00pm  Zoom (6618121099)  
Wednesday  
Thursday  
Friday 
If you cannot make those, I am available by appointment (in my office) and by email.