Kompleks Fonksiyonlar Teorisi II Dersi. Ernurbahoşefe Ailesi; 16 videos; 2, views; Last updated on Aug 15, Play all. Share. Loading Save. Get this from a library! Kompleks fonksiyonlar teorisi. [Turgut Başkan]. Buy Kompleks Fonksiyonlar Teorisi by Turgut Başkan (ISBN: ) from Amazon’s Book Store. Everyday low prices and free delivery on eligible.

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Sufficient conditions for derivatives, analytic functions, harmonic functions. Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians. Finds images of certain sets under complex linear functions and some elementary functions.

Description of Individual Course Units

Classrooms of Arts and Sciences Faculty. 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.

Exponential, logarithmic, trigonometric, hyperbolic, inverse trigonometric functions. Demonstrate skills in solving problems which require methods of a variety of branches of mathematics to solve them independently or to collaborate with people, and judge reasonable results. Week stereografic mapping, regions in the complex plane 5. Z Course Coordinator Prof.

Giving a series of numbers and series of complex.

ninova – ITU e-Learning Center

Possess theoretical and practical knowledge in mathematics, computation and computer science. Have at least one foreign language knowledge and the ability to communicate effectively in Turkish, verbally and in writing. Basic properties of comlex numbers, Polar forms, powers, roots, domains.

Complex exponential ,complex power ,complex logarithmic fonksihonlar complex trigonometric functions. This course covers complex numbers and its basic properties ,topology of the complex plane ,sequence and series of complex numbers, complex valued functions and its basic propertieslimit and continuity of the complex valued functions, complex differentationof the complex valued functions ,Cauchy-Riemann’s equationscomplex exponential ,complex power ,complex logarithmic and complex trigonometric functionsanalytic and harmonic functionsintegration of complex valued functionsCauchy’s integral tdorisi and Cauchy’s integral ,the derivative of Cauchy formula and applicationsLiouville’s theorem ,Cauchy’s inequality,esential theorem of algebra,Singularities, zeros and poles ,complex power fonksigonlar ,complex Taylor and Mac-Laurin series and Laurent series,classification of the singular points, residues,residue theorem and applicationsconform tranformations.


Kompleks değişkenli fonksiyonlar teorisi – Mithat İdemen – Google Books

Have the awareness of professional and ethical responsibility and legal consequences of information applications Use the knowledge about the field for the benefit to society.

Have the consciousness of the necessity of lifelong learning and continuously develop professional knowledge and skills. Have advanced theoretical and practical knowledge in mathematics and computer science. Display the development of a realization of how mathematics is related to komplks and social sciences and how it is significant in these areas. Week analytic functions, harmonic functions, reflection principle This course aims to investigate complex numbers, their notations and properties and introduction of the complex functions fonkwiyonlar and give the complex sequences and series ,the conceptions of limit,continuity,complex differentation and entire functions and theorems related with these and applications.

Define computer programming, word processing, data functions, internete access and software programs. Is able to express basic theories of mathematics properly and correctly both written and verbally.

Compulsory Level of Course: Preliminary Weekly and Related Topics Pages 1. Contribution of the Course to Key Learning Outcomes. 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.


Express habits of effective thinking involving analytical, critical and postulational thinking as well as reasoning by analogy and the development of intellectual thinking.

Classifies singular points of complex functions. Series of complex numbers, complex valuedfunctions 3. Complex hyperbolic functions 8. None Aim s of Course: Finds Taylor and Laurent series of complex functions. Week roots of complex numbers, Euler formula 4.

Work effectively as an individual and as a team member to solve problems in the areas of mathematics and computer science. Evaluates some real integrals using complex integration technique.

Possess the knowledge of advanced research methods in mathematics-computer field.

Evaluates contour integrals in complex planes. Limits, continuity and differentiability of complex functions.

Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines. Cauchy-Integral theorem and its consequencesreviews, be analytical functions andseries expansions around some points. Establishes one-to-one correspondence between real plane and complex numbers.

theory of complex functions

Review of the topics discussed in the lecture notes and sources. Utilize technology as an effective tool in investigating, understanding, and applying mathematics. Having the discipline of mathematics, understand the operating logic of the computer and gain the ability to think fonksiyon,ar on account. Recognizes the importance of basic notions in Algebra, Analysis and Topology.

General Information for Students.