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Identify, define and model mathematics, computation and computer science problems; select and apply appropriate analysis and modeling methods for this purpose. Week roots of complex teoridi, Euler formula 4.

Evaluates some real integrals using complex integration technique. Cauchy-Integral theorem and its consequencesreviews, be analytical functions andseries expansions around some points Is able to express basic theories of mathematics properly and correctly both written and verbally. Display the development of a realization of how mathematics is related to physical and social sciences and how it is significant in these areas.

Gain an in-depth knowledge on Computer Science including computer programming, word processing, database functions, accessing the internet and softwares. Complex numbers and their properties, the complexplane topology, complex number sequences 2. To be integral in the complex plane, complex power series,Taylor and Laurent series expansions of functions, Singular pointsclassification and the Residue Theorem, some real integrals of complexcalculation methods, the argument of principle.


Work effectively as an individual and as a team member to solve problems in the areas of mathematics and computer science. Work effectively either individually or in multidisciplinary teams. Cauchy-Riemann equations and analyticity 5.

Recognizes the importance of basic notions in Algebra, Analysis and Topology. Algebra of complex numbers. Is able to mathematically reorganize, analyze and model problems encountered. Utilize technology as an effective tool in investigating, understanding, and applying mathematics.

Identify, define and analyze problems in the fields of mathematics and computer science; develop solutions based on research and evidence. Finds images of certain sets under complex linear functions and some elementary functions.

Be aware komplleks the effects of information applications on individual, institutional, social and universal dimensions and have the awareness about entrepreneurship, innovation. Design and apply interactive experimental environments to get the definitions and first solutions of the problems of computer science and computer science and evaluate these environments.

Sufficient conditions for derivatives, analytic functions, harmonic functions.

Z Course Coordinator Prof. Have advanced theoretical and practical knowledge in mathematics and computer science. Determines whether complex functions are analytic.


Description of Individual Course Units

Week hyperbolic function, inverse trigonometric and hyperbolic functions Uses effective scientific methods and appropriate technologies to solve problems. Evaluates complex integrals using the residue theorem. Week polar representation, exponential forms, products and powers in exponential form,arguments of products and quotients 3. Limits, continuity and fonksiynolar of complex functions.

Theory of Complex Functions Course Code: None Aim s of Course: Turkish Course materials in English can be provided to students on demand.

Perform all phases of life cycle in computer based systems.

Classrooms of Arts and Sciences Faculty. Complex hyperbolic functions 8. Fonksiyonar the awareness of professional and ethical responsibility and legal consequences of information applications Use the knowledge about the field for the benefit to society. The complex exponential function, logarithms of complexfunction of the complex power function 6.

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Cultivate the perspectives and the analytical skills required for efficient use, appreciation, and understanding of mathematics. Exponential, logarithmic, trigonometric, hyperbolic, inverse trigonometric functions.

Week Final Exam 2nd.