Power Electronics and Clean Energy Systems (English) with thesis
Master	TR-NQF-HE: Level 7	QF-EHEA: Second Cycle	EQF-LLL: Level 7

General course introduction information

Course Code:

EEE522

Course Name:

Harmonics Analysis and Partial Differantial Equations

Course Semester:

Fall

Course Credits:

Theoretical	Practical	Credit	ECTS
3	0	3	10

Language of instruction:

Course Requisites:

Does the Course Require Work Experience?:

Type of course:

Department Elective

Course Level:

Master

TR-NQF-HE:7. Master`s Degree

QF-EHEA:Second Cycle

EQF-LLL:7. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Assoc. Prof. ÖMER CİHAN KIVANÇ

Course Lecturer(s):

Course Assistants:

Course Objective and Content

Course Objectives:	To satisfy the understanding of fundamental problems of harmonic analysis.
Course Content:	Integral transformations, Forurier Series, Hilbert spaces, Fourier transformations, Distributions, Interpolation of linear operators

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) The Students shall learn in integral transform
2) They learn fourier analysis theorems
3) They learn positive kernel integral operators.
4) They learn the relation between integral equation and transformation
5) They learn integrals operators having core with multi-variables and their applications.
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Lesson Plan

Week	Subject	Related Preparation
1)	Integral equations, integral transformations	Course Notes
2)	Integral operators, orthogonal systems, orthogonal sequences	Course Notes
3)	Fourier series, periodic functions, Fourier ıntegrals	Course Notes
4)	Bessel inequality, norm convergences, convergence in point and divergence	Course Notes
5)	Uniform convergence of Fourier sequences, Hilbert spaces, Hilbert spaces and Orthonormal Bases	Course Notes
6)	Fourier series, convergence theorems, convolution and transformation	Course Notes
7)	Poission Sum, Abel - Poission sum	Course Notes
8)	Distributions, Definitions, derivative of a distribution	Course Notes
9)	Improper Integrals, Peano derivation, Riemann derivation, Schwartz derivation	Course Notes
10)	Fourier transformation, properties of Fourier transformation	Course Notes
11)	Bases of Fourier transformations, applications, Inverse of Fourier transformation	Course Notes
12)	Interpolation of linear operators, Interpolation of linear operators and norms, Applications	Course Notes
13)	Applications	Course Notes
14)	Applications	Course Notes

Sources

Course Notes / Textbooks:	E.M.Stein, Harmonic Analysis, Princeton Uni. Pres.,N.York,1993. E.M.Stein, G.Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Uni. Pres.,N.York,1971. Butzer,P.L., Nessel,R.J., Fourier Analysis and Appr.,Academic Pres,N.York,1971. Anton Deitmar, A First Course in Harmonic Analysis, Second Edition.
References:	E.M.Stein, Harmonic Analysis, Princeton Uni. Pres.,N.York,1993. E.M.Stein, G.Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Uni. Pres.,N.York,1971. Butzer,P.L., Nessel,R.J., Fourier Analysis and Appr.,Academic Pres,N.York,1971. Anton Deitmar, A First Course in Harmonic Analysis, Second Edition.

Course-Program Learning Outcome Relationship

Learning Outcomes	1	2	3	4	5
Program Outcomes
1) Reaches the information in the field of power electronics and clean energy systems in depth through scientific researches; evaluates the knowledge, interprets and implements.
2) Has the extensive information about current techniques and their constraints in the field of Power Electronics .
3) Using limited or missing data, completes the information through scientific methods and applies; integrates the information from different disciplines.
4) Aware of new and emerging applications of his/her profession; learn and examine them if needed.
5) Builds the Power Electronics problems, develops methods to solve and implements innovative ways for solution.
6) Develops new and/or original ideas and methods; develops innovative solutions for the design of a process, system or component.
7) Designs and implements the analytical, modeling and experimental-based researches; resolves the complex situations encountered in this process and interprets.
8) Leads multi-disciplinary teams, develops solution approaches to complex situations and takes responsibility.
9) Uses at least one foreign language at the general level of European Language Portfolio B2 and communicates effectively in oral and written language.
10) Presents the process and results of the work in national and international media systematically and clearly in written or oral language.
11) Describe the social and environmental dimensions of Power Electronics Engineering applications.
12) In the stages of data collection, interpretation and publication as well as all professional activities, he/she considers the social, scientific and ethical values.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Reaches the information in the field of power electronics and clean energy systems in depth through scientific researches; evaluates the knowledge, interprets and implements.	2
2)	Has the extensive information about current techniques and their constraints in the field of Power Electronics .
3)	Using limited or missing data, completes the information through scientific methods and applies; integrates the information from different disciplines.	5
4)	Aware of new and emerging applications of his/her profession; learn and examine them if needed.
5)	Builds the Power Electronics problems, develops methods to solve and implements innovative ways for solution.	1
6)	Develops new and/or original ideas and methods; develops innovative solutions for the design of a process, system or component.	3
7)	Designs and implements the analytical, modeling and experimental-based researches; resolves the complex situations encountered in this process and interprets.	3
8)	Leads multi-disciplinary teams, develops solution approaches to complex situations and takes responsibility.	2
9)	Uses at least one foreign language at the general level of European Language Portfolio B2 and communicates effectively in oral and written language.	1
10)	Presents the process and results of the work in national and international media systematically and clearly in written or oral language.	3
11)	Describe the social and environmental dimensions of Power Electronics Engineering applications.	1
12)	In the stages of data collection, interpretation and publication as well as all professional activities, he/she considers the social, scientific and ethical values.

Learning Activity and Teaching Methods

Lesson
Project preparation

Assessment & Grading Methods and Criteria

Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing)
Individual Project

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Project	1	% 50
Final	1	% 50
total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
total		% 100

Workload and ECTS Credit Grading

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	3	42
Project	1	175	175
Final	1	80	80
Total Workload			297