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Limits, continuity and differentiability of complex functions. Having the discipline of mathematics, understand the operating logic of the computer and gain the ability to think based on account.

Evaluate advanced knowledge and skills in the field with a critical approach. Complex hyperbolic functions 8.

Week stereografic mapping, regions in the complex plane 5. None Aim s of Course: Recognizes the importance of basic notions teoriwi Algebra, Analysis and Topology. Evaluates some real integrals using complex integration technique.

Have the ability to act independently, use initiative and creativity. Week analytic functions, harmonic functions, reflection principle Complex numbers and their fonksiyinlar, the complexplane topology, complex number sequences 2.

Evaluate and interpret data using the knowledge and skills gained in the fields of mathematics and computer science. Uses effective scientific methods and appropriate technologies to teorusi problems. Work effectively as an individual and as a team member to solve problems in the areas of mathematics and computer science.

Week polar representation, exponential forms, products and powers in exponential form,arguments of products and quotients 3. Draws mathematical models such as formulas, graphs and tables and explains them. Description of Individual Course Units.

Week Final Exam 2nd. Compulsory Level of Course: Communicate, mathematical ideas both verbally and in written, making use of numerical, graphical, and symbolic viewpoints.

Complex numbers, complex plane topology, complex sequences andseries, complex functions, limits, continuity and derivatives, Cauchy-Riemannequations, Analytic, complex exponential, logarithmic, trigonometric, andhyperbolic functions, integration in the complex plane, Cauchy’s theorem,Complex power series, Taylor and Laurent series expansions, Singularclassification of points and the Residue Theorem, some real integralscomplex calculation methods, the argument of principle.

Associate’s Degree Short Cycle. Determines whether complex functions are analytic.

Perform all phases of life cycle in computer based systems. Work effectively either individually or in multidisciplinary teams. Evaluates complex integrals using the residue theorem.

Turkish Course materials in English can be provided to students on demand.

Gain an teorlsi knowledge on Computer Science including computer programming, word processing, database functions, accessing the internet and softwares.

Week limits, theorems on limits, limits involving infinity, continuity 7. Complex exponential ,complex power ,complex logarithmic and complex trigonometric functions. Is able to express basic theories of mathematics properly and correctly both written and verbally. Have the consciousness of the necessity of lifelong learning and continuously develop professional knowledge and skills.

Utilize technology as an effective tool in investigating, understanding, and applying mathematics. Express habits of effective thinking involving analytical, critical and postulational thinking as well as reasoning by analogy and the development of intellectual thinking.

Demonstrate in-depth knowledge of mathematics, its scope, application, history, problems, methods, and usefulness to mankind both as a science and as an intellectual discipline. Possess the knowledge of advanced research methods in mathematics-computer field. 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.

Evaluates contour integrals in complex planes. 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. Contribution of teoriis Course to Key Learning Outcomes.

Finds images of certain sets under complex linear functions and some elementary functions. Possess theoretical and practical knowledge in mathematics, computation and computer science. Identify, define and model mathematics, computation and computer science problems; select and apply appropriate analysis and modeling methods for this purpose.

Exponential, logarithmic, trigonometric and inverse trigonometric functions, Analytic and harmonic functions. Mapping by elementary functions. First Cycle Year of Study: