Aktosun, Spring 2023, Math 5322
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Instructor: Tuncay Aktosun, PKH 461, (817) 272-1545,
aktosun@uta.edu
- Course: Complex Variables I, Math 5322, Section 001, Course number 24947
- Prerequisite: Math 5307 (Mathematical Analysis I)
- Office Hours: 2:20 pm-3:20 pm, Monday and Wednesday and by appointment (all virtual)
- Classroom: PKH 105 (Pickard Hall 105)
- Classtime: 1:00 pm-2:20 pm, Monday and Wednesday
- Textbook: There is not an official textbook for the course.
- Some useful books:
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Richard A. Silverman,
Introductory complex analysis, Dover Publ., New York, 1984.
- L. Ahlfors,
Complex analysis, 3rd ed., McGraw-Hil, New York, 1979.
- J. Brown and R. Churchill, Complex variables and applications, 8th ed., McGraw-Hil, New York, 2008.
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M. J. Ablowitz and A. S. Fokas, Complex variables: Introduction and applications, 2nd ed., Cambridge University Press, Cambridge, 2003.
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A. I. Markushevich,
Theory of functions of a complex variable, 2nd ed., AMS Chelsea Publishing, Providence, RI, 1977.
- V. I. Smirnov, A course of higher mathematics,
volume III, part two, Pergamon Press, Reading, MA, 1964.
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R. E. Greene and S. G. Krantz,
Function theory of one complex variable, 3rd ed., AMS Publ., Providence, RI, 2006.
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M. R. Spiegel, S. Lipschutz, J. J. Schiller, and D. Spellman, Schaum's outline complex variables, 2nd ed., McGraw-Hill, New York, 2009.
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F. D. Gakhov,
Boundary value problems, Pergamon Press, London, 2014.
- Coverage:
The covered material
includes analytic functions,
complex series, complex integration,
residues and poles,
contour integration, and conformal mapping.
The topics to be covered are indicated in the
course
outline.
- Grading:
A letter grade will be assigned based on a class
presentation.
Unless otherwise indicated, all
grades out of 100 will correspond to the following scale: 0 <
F< 60, 60 < D < 70, 70 < C < 80, 80 < B
< 90, 90 < A < 100.
Course outline
Sample problems 1
Sample problems 2
Sample problems 3
Sample problems 4
Biographies of mathematicians
Complex analysis (wikipedia)
Lecture notes from February 1, 2023
Lecture video from February 1, 2023
- Tuncay Aktosun
aktosun@uta.edu
Last modified: February 1, 2023