Course Name Code Semester T+U Hours Credit ECTS
Appl.Num.Meth.In Elec.Eng. EEM 584 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Optional
Course Coordinator Dr.Öğr.Üyesi TÜRKER FEDAİ ÇAVUŞ
Course Lecturers Dr.Öğr.Üyesi TÜRKER FEDAİ ÇAVUŞ,
Course Assistants
Course Category
Course Objective To study of methods and their application for the numerical solution of mathematical problems.
Course Content 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
# Course Learning Outcomes Teaching Methods Assessment Methods
1 To implement the methods for computer solution for presents the engineering problems. Lecture, Problem Solving, Project Based Learning, Question-Answer, Testing, Homework, Project / Design,
2 To solve a given problem using different approaches with a variety of software systems and experiment with the various parameters of the problem. Question-Answer, Problem Solving, Project Based Learning, Lecture, Project / Design, Homework, Testing,
3 To be aware of the many commercial software systems available and their appropriate uses in the solution of engineering problems. Self Study, Problem Solving, Project Based Learning, Testing, Homework, Project / Design,
4 To apply load flow calculation Project Based Learning, Project / Design, Homework, Testing,
5 To apply transient stability studies Project Based Learning, Testing, Homework, Project / Design,
Week Course Topics Preliminary Preparation
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.
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
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
1 Ability; to Access to wide and deep information with scientific researches in the field of Engineering, evaluate, interpret knowledge and implement. X
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
2 Ability; To complete and implement “Limited or incomplete data” by using the scientific methods. To stick knowledge of different disciplinarians together. 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
3 Ability; to consolidate engineering problems, develop proper method to solve and apply innovative solutions. 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
4 Ability; To develop new and original ideas and methods, To develop new innovative solutions at design of system, component or process 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.
5 Comprehensive information on modern techniques, methods and their borders which are being applied to engineering.
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.
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.
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.
7 High level ability to define the required information, data and reach, assess.
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.
8 Ability; To lead multi-disciplinary teams To take responsibility to define approaches for complex situations.
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
9 Systematic and clear verbal or written transfer of the process and results of studies at national and international environments X
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
10 Social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, announcement. 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.
11 Awareness at new and developing application of profession and ability to analyze and study on those applications.
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.
12 Ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment.
12 Ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environment.
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 30
1. Ödev 10
2. Ödev 10
3. Ödev 10
4. Ödev 10
5. Ödev 30
Total 100
1. Yıl İçinin Başarıya 60
1. Final 40
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 4 10 40
Assignment 1 30 30
Performance Task (Laboratory) 1 40 40
Total Workload 190
Total Workload / 25 (Hours) 7.6
dersAKTSKredisi 6