Math 4020/5020
Analytic Function Theory
Instructor Information
Instructor: David Iron
Email: iron@mathstat.dal.ca
Office: Chase 322
Course Information
Times and Places
| Lecture: |
Monday Wednesday Friday |
10:35 - 11:25 |
Chase 227 |
| Office Hours*: |
Wed 2:30-4:00 |
Thurs 1:00-2:30 |
My office |
* or by appointment.
Course Content
Reference Text:
Complex Variables and Applications, seventh edition by
James Ward Brown and Ruel V. Churchill.
This is a second course in complex analysis. All topics which are
required for the comprehensive exam will be covered in this course.
The main topics which will be covered are as follows
- Review of analytic complex functions
- Mobius Transforms
- Exponential, Logarithmic and Trigonometric Functions
- Cauchy's Integral Formula
- Residues
- Harmonic Functions
- Entire and Meromorphic Functions
- Conformal Mappings
Grading
The final grades will consist of homework assignments, a mid-term
test and the final exam. Homework will be assigned on a roughly
bi-weekly basis to and collected in class.
The mid-term test will be on the Friday of the 7th week of class.
Grading will be as follows:*
| Homework |
40 % |
| Mid-term test |
25 % |
| Final Exam |
35 % |
For students enrolled in 4020, each homework and test will contain
optional bonus questions. For students enrolled in 5220 all of the
assignment and test questions will be graded normally.
* the grading policy may change at some point during
the year. Any changes will be announce in class as well as posted on
this web page.
On line Course Material
All handouts, homework assignments and solutions will be posted
here at appropriate times.
Course Outline
Flow around a circle and with a source
Flow over an obstacle and a step
Flow over a cylinder with circulation
Joukowski Map
Schwarz-Christoffel Maps
Old Exam
Homework
Homework 1 (Solutions)
Homework 2 (Solutions)
Homework 3 (Solutions)
Homework 4 (Solutions)
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