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Be aware of the effects of information applications on individual, institutional, social and universal dimensions and have the awareness about entrepreneurship, innovation. Is able to prove Mathematical facts encountered in secondary school. Identify, define and analyze problems in the fields of mathematics and computer science; develop solutions based on research and evidence.

Knows programming techniques and is able to write a computer program.

Basic properties of comlex numbers, Polar forms, teeorisi, roots, domains. Face-to-Face Prerequisites and Co-Prerequisites: Curves classifies the complex planeintegral accounts. Week stereografic mapping, regions in the complex plane 5.

Possess theoretical and practical knowledge in mathematics, computation and computer science. Series of complex numbers, complex valuedfunctions 3. This course aims to investigate complex numbers, their notations and properties and introduction of the complex functions theory and give the complex sequences and series ,the conceptions of limit,continuity,complex differentation and entire functions and theorems related with these and applications.


Preliminary Weekly and Related Topics Pages 1. Work effectively either individually or in multidisciplinary teams. Week roots of complex numbers, Euler formula 4. Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.

Week Theoretical Practice Laboratory 1. Giving a series of numbers and series of complex. Information on the Institution. Is able to express basic theories of mathematics properly and correctly both written and verbally.

Description of Individual Course Units

Theory of Complex Functions Course Code: Cauchy-Integral theorem and its consequencesreviews, be analytical functions andseries expansions around some points Display the development of a realization of how mathematics is related to physical and social sciences and how it is significant in these areas.

Have the ability to act independently, use initiative and creativity. First Cycle Year of Study: Z Course Coordinator Prof. Follow current developments about the awareness of the necessity of continuous professional development and information and communication technologies.

Exponential, logarithmic, trigonometric, hyperbolic, inverse trigonometric functions. Finds Taylor and Laurent series of complex functions. The complex trigonometric functions 7.

kompleks fonksiyonlar teorisi

teorusi Cauchy-Riemann equations and analyticity 5. Develops maturity of mathematical reasoning and writes and develops mathematical proofs. Have advanced theoretical and practical knowledge in mathematics and computer science. Use the time effectively in the process of getting the conclusion with analytical thinking ability. Evaluates complex integrals using the residue theorem.


Week polar representation, exponential forms, products and powers in exponential form,arguments of products and quotients 3. Algebra of complex numbers. Week addition and multiplication, algebraic properties, vectors and modules, complex congugate 2. Associate’s Degree Short Cycle. Week derivatives, differentiations formulas,Cauchy- Riemann equations 8. Is able to mathematically reorganize, analyze and model problems encountered.

Assessment Methods and Assessment Criteria. Week limits, theorems on limits, limits involving fonkksiyonlar, continuity 7.

Work effectively as an individual and as a team member to solve problems in the areas of mathematics and computer science. Mapping by elementary functions. Evaluates contour integrals in complex planes.

Complex Analysis I Description | Eskisehir Technical University

Classrooms of Arts and Sciences Faculty. Define computer programming, word processing, data functions, internete access and software programs. Compulsory Level of Course: Complex power series ,complex Kopmleks and Mac-Laurin series and Laurent series,classification of the singular points.