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Week
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Topics
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Study Metarials
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1
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Introduction to numerical analysis, numerical methods, logic of algorithm, some properties related to complex numbers: (Cartesian coordinates)
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R1-Chapter-1
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2
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Establishment of algorithms and introduction of algorithm subunits, Polar representation of complex numbers
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R1-Chapter-1
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3
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Matrices and matrix operations, Finding roots of complex numbers, Trigonometric operations with complex numbers
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R1-Chapter-2
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4
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Matrices and matrix operations (continued), Logarithmic operations with complex numbers, Operations with complex exponential numbers, Complex root function
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R1-Chapter-3
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5
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Solution methods of linear equation systems, Complex function, Geometric meaning of complex numbers, Complex number arrays
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R1-Chapter-4
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6
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Solution methods of nonlinear equation systems, convergence and divergence of complex sequences, Cauchy sequence
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R1-Chapter-5
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7
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Solution methods of nonlinear equation systems (continue), Limit of complex functions, Continuity in complex functions
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R1-Chapter-6
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8
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Curve fitting, interpolation and external valuation methods, Condition of derivation of complex functions
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R2-Chapter-3
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9
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Curve fitting, interpolation and external valuation methods (continued), Cauchy-Riemann equations, analytic of complex function
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R2-Chapter-5
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10
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Numerical integral methods, Integral definition and properties in complex functions
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R2-Chapter-5
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11
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Numerical integral methods, Integral definition and properties in complex functions
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R2-Chapter-5
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12
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Numerical differentiation methods, Cauchy integral theorem, Cauchy integral formula
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R2-Chapter-6
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13
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Solution methods of differential equations, Cauchy derivative formula, Residue calculations
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R2-Chapter-7
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14
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Calculation of specific real integers
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R2-Chapter-7
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Prerequisites
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-
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Language of Instruction
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Turkish
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Responsible
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Asst. Prof. Dr. Göksu GÖREL
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Instructors
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Assistants
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-
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Resources
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R1-Türker, E. S. & Can, E. (2015). Bilgisayar uygulamalı sayısal analiz yöntemleri (2.Basım), Değişim yayınları, Sakarya.
R2-Evans G. (1996). Practical numerical analysis (1 st Edition), John Wiley&Sons, UK.
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Supplementary Book
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Goals
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To teach the numerical solution methods and algorithms that can solve engineering problems in computer environment, to teach the theory of complex variable functions
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Content
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Introduction to numerical analysis, numerical methods, logic of algorithm, some properties related to complex numbers.
Establishment of algorithms and introduction of algorithm subunits, Polar representation of complex numbers.
Matrices and matrix operations, Finding roots of complex numbers, Trigonometric operations with complex numbers.
Complex root function.
Curve fitting, interpolation and external valuation methods, Condition of derivation of complex functions
Numerical integral methods, Integral definition and properties in complex functions
Numerical differentiation methods, Cauchy integral theorem, Cauchy integral formulaCalculation of specific real integers
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Program Learning Outcomes |
Level of Contribution |
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1
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Acquired the necessary skills in the areas of mathematics, applied sciences and his/her own field; has the ability to use collectively these concepts and applications of these fields to solve the problems of Electrical and Electronics Engineering,
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4
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2
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Has the ability to define, identify, formulate and solve the problems of Electrical and Electronics Engineering and selects the appropriate analytic solutions, modelling and applies them in an orderly manner,
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2
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3
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Analyses a system or a process and designs it under the given constraints meeting the requirements; applies the up to date design techniques in this direction,
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1
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4
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Has the ability to choose and utilize the modern technologies and tools of engineering; has the ability to use information technologies and at least one software language (at the advanced European License level) in an efficient way,
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3
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5
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Has the ability to design experiments, carries out experiments, analyses results and makes comments on these results,
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1
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6
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Has access to information and undertakes literature survey in this direction; has the ability to search and use databases and other data resources,
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1
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7
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Can participate and assume responsibility in multidisciplinary task forces,
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3
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8
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Has the ability to communicate in Turkish verbally and in written forms; has the knowledge of one foreign language of European portfolio at the B1 level,
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-
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9
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Conscious of lifelong learning; follows the science and technological developments and updates himself/herself continually,
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-
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10
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Has the responsibility and conscious in his/her profession,
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2
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11
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Has the ability to conduct projects, has knowledge of the work procedures, health of workers, environment and safety procedures of work places; is aware of legal consequences of engineering applications,
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2
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12
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Is conscious of the consequences and effects of engineering solutions and applications in public and universal dimensions; is aware of innovation matters and has knowledge of the contemporary issues and problems,
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2
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