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Theory of Complex Functions Course Code: MT Course Type: Compulsory Level of Course: First Cycle Year of Study: Establishes one-to-one correspondence between real plane and complex numbers. Evaluates contour integrals in complex planes. Classifies singular points of complex functions. Determines whether complex functions teoridi analytic.

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Finds Taylor and Laurent series of complex functions. Evaluates complex integrals using the residue theorem.


Evaluates some real integrals using complex integration technique. Finds images of certain sets under complex linear functions and some elementary functions.

theory of complex functions

Face-to-Face Prerequisites and Co-Prerequisites: None Recommended Optional Programme Components: None Aim s of Course: Information on the Institution. General Information for Students. Associate’s Degree Short Cycle.

Classrooms of Arts and Sciences Faculty. Basic properties of comlex numbers, Polar forms, powers, roots, domains.

Sufficient conditions for derivatives, analytic functions, harmonic functions. Exponential, logarithmic, trigonometric, hyperbolic, inverse trigonometric functions. Review of the topics discussed in the lecture notes and sources.

Complex Variables and Appliations, author: Assessment Methods and Assessment Criteria. Contribution teoriai the Course to Key Learning Outcomes. Is able to prove Mathematical facts encountered in secondary school. Recognizes the importance of basic notions in Algebra, Analysis and Topology.

Develops maturity of mathematical reasoning and writes and develops mathematical proofs. Is able to komplek basic theories of mathematics properly and correctly both written and verbally. Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.


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fonksoyonlar Expresses clearly the relationship between objects while constructing a model. Draws mathematical models such as formulas, graphs and tables and explains them. Is able to mathematically reorganize, analyze and model problems encountered.

Uses effective scientific methods and appropriate technologies to solve problems. Knows programming techniques and is able to write a computer program. Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians.