Complex analysis
Course title: Complex analysis
Code: 3ФЕИТ08Л008
Number of credits (ECTS): 3
Weekly number of classes: 2+1+0+0
Prerequisite for enrollment of the subject: Passed: Mathematics 1
Course Goals (acquired competencies): To adopt the basic concepts of complex analysis with particular reference to complex algebra and functions, analytic function, Cauchy theorem, residues, Taylor and Laurent series and their application.
Total available number of classes: 45
Course Syllabus: Complex numbers. Algebra of complex number. Sets in a complex plane. Functions of a complex variable. Analytic functions. Cauchy-Riemann equations. Application in oscillating systems. Line integral of a complex function. Taylor and Laurent series, zeros and singularities. Residues. Application on solving real integrals.
Literature:
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Required Literature |
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|
No. |
Author |
Title |
Publisher |
Year |
|
1 |
James Brown and Ruel Churchil |
Complex analysis with application |
McGraw-Hill |
2004 |
|
2 |
E.B.Saff, A.D.Snider |
Fundamentals of complex analysis with application to engineering and science |
Prentice Hall |
14 |
