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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
APPL.NUM.METH.IN ELEC.ENG. EEM 584 0 3 + 0 3 6
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Yüksek Lisans
Dersin Türü SECMELI
Dersin Koordinatörü Dr.Öğr.Üyesi TÜRKER FEDAİ ÇAVUŞ
Dersi Verenler Dr.Öğr.Üyesi TÜRKER FEDAİ ÇAVUŞ
Dersin Yardımcıları
Dersin Kategorisi
Dersin Amacı
To study of methods and their application for the numerical solution of mathematical problems.
Dersin İçeriği
Iterative methods for solution of linear algebraic equations or equations system, Direct methods for solution of linear algebraic equations, Interpolation, Numerical Differentiation and Integration, Numerical solution of differential equations
Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - To implement the methods for computer solution for presents the engineering problems. 1 - 15 - 16 - 2 - A - C - D -
2 - To solve a given problem using different approaches with a variety of software systems and experiment with the various parameters of the problem. 2 - 15 - 16 - 1 - D - C - A -
3 - To be aware of the many commercial software systems available and their appropriate uses in the solution of engineering problems. 14 - 15 - 16 - A - C - D -
4 - To apply load flow calculation 16 - D - C - A -
5 - To apply transient stability studies 16 - A - C - D -
Öğretim Yöntemleri: 1:Lecture 15:Problem Solving 16:Project Based Learning 2:Question-Answer 14:Self Study
Ölçme Yöntemleri: A:Testing C:Homework D:Project / Design

Ders Akışı

Hafta Konular ÖnHazırlık
1 Chapter 1- Iterative methods for solution of linear algebraic equations or equations system: Introduction ; Iterative methods for solution of linear algebraic equations; Newton-Raphson method, Bisection method, Regula-Falsi method;
2 Iterative methods for solution of equations systems; Gauss and Gauss-Seidel Method, Successive approximation method; Methods for solution of nonlinear algebraic equations; Iterative solution, Newton-Raphson method
3 Direct methods for solution of linear algebraic equations: Simultaneous equations; Solution by determinants, Gauss elimination method ;
4 Gauss-Jordan method, Calculation of determinants; Solution of multiple sets of equations and matrix inversion; Example: Load flow
5 Example: Load flow
6 Chapter 2- Interpolation: Lagrange interpolation, Newton’s Divided difference interpolation; Interpolation at equally spaced points: Newton’s forward difference formula,
7 Newton’s backward difference formula; Central difference formula,
8 Examples
9 Chapter 3-Numerical Differentiation and Integration: Introduction, methods for Numerical integration, Rectangle Method, Trapezoid Method;
10 Numerical derivative,
11 Examples
12 Chapter 4-Numerical solution of differential equations: Introduction, Numerical methods for solution of differential equations: Euler method, The modified Euler method,
13 The Runge-Kutta method, Picard’s method of successive approximations.
14 Apply: Transient stability studies.

Kaynaklar

Ders Notu
Ders Kaynakları

Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Ability; to Access to wide and deep information with scientific researches in the field of Engineering, evaluate, interpret knowledge and implement. X
2 Ability; To complete and implement “Limited or incomplete data” by using the scientific methods. To stick knowledge of different disciplinarians together. X
3 Ability; to consolidate engineering problems, develop proper method to solve and apply innovative solutions. X
4 Ability; To develop new and original ideas and methods, To develop new innovative solutions at design of system, component or process X
5 Comprehensive information on modern techniques, methods and their borders which are being applied to engineering.
6 Ability; to design and apply analytical, modeling and experimental based research, analyze and interpret the faced complex issues during the design and apply process.
7 High level ability to define the required information, data and reach, assess.
8 Ability; To lead multi-disciplinary teams To take responsibility to define approaches for complex situations.
9 Systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
10 Social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, announcement. X
11 Awareness at new and developing application of profession and ability to analyze and study on those applications.
12 Ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment.
13 Ability; to Access to wide and deep information with scientific researches in the field of Engineering, evaluate, interpret knowledge and implement. X
14 Ability; to Access to wide and deep information with scientific researches in the field of Engineering, evaluate, interpret knowledge and implement. X
15 Ability; To complete and implement “Limited or incomplete data” by using the scientific methods. To stick knowledge of different disciplinarians together. X
16 Ability; To complete and implement “Limited or incomplete data” by using the scientific methods. To stick knowledge of different disciplinarians together. X
17 Ability; to consolidate engineering problems, develop proper method to solve and apply innovative solutions. X
18 Ability; to consolidate engineering problems, develop proper method to solve and apply innovative solutions. X
19 Ability; To develop new and original ideas and methods, To develop new innovative solutions at design of system, component or process X
20 Ability; To develop new and original ideas and methods, To develop new innovative solutions at design of system, component or process X
21 Comprehensive information on modern techniques, methods and their borders which are being applied to engineering.
22 Comprehensive information on modern techniques, methods and their borders which are being applied to engineering.
23 Ability; to design and apply analytical, modeling and experimental based research, analyze and interpret the faced complex issues during the design and apply process.
24 Ability; to design and apply analytical, modeling and experimental based research, analyze and interpret the faced complex issues during the design and apply process.
25 High level ability to define the required information, data and reach, assess.
26 High level ability to define the required information, data and reach, assess.
27 Ability; To lead multi-disciplinary teams To take responsibility to define approaches for complex situations.
28 Ability; To lead multi-disciplinary teams To take responsibility to define approaches for complex situations.
29 Systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
30 Systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
31 Social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, announcement. X
32 Social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, announcement. X
33 Awareness at new and developing application of profession and ability to analyze and study on those applications.
34 Awareness at new and developing application of profession and ability to analyze and study on those applications.
35 Ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment.
36 Ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment.

Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 30
KisaSinav 1 10
Odev 1 10
KisaSinav 2 10
Odev 2 10
Odev 3 10
Odev 4 10
Odev 5 10
Toplam 100
Yıliçinin Başarıya Oranı 60
Finalin Başarıya Oranı 40
Toplam 100

AKTS - İş Yükü

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