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:

EEE521

Course Name:

Advanced Topics in Engineering Mathematics

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):

Prof. Dr. SEZGİN SEZER

Course Assistants:

Course Objective and Content

Course Objectives:

The objective of this course is to give basic and advanced Mathematic information.

Course Content:

Calculation of differential and integration of vectors: Vector algebra , gradient, divergent, curl, line integral, Green’s Theorem , The Divergence theorem, Stokes’s theorem. Linear Vector Spaces: Linear Vector Space, Linear operators, vector space of finite dimension, matrix algebra, similarity transforms, eigenvectors and eigenfunctions of matrix, Orthogonal functions: Functions space, orthogonal polynomials, Legendre polynomials, spherical harmonics, Hermite polynomials, Laguerre polynomials, Bessel functions. Complex Functions: Complex numbers, complex functions, derivative of complex functions, concept of analytical function, Conditions of Cauchy-Riemann, Complex integral, Cauchy theorem,Formulas of Cauchy integral, series of complex functions, Laurent series, Residue theorem and its applications. Multiple functions and Riemann surfaces. Differential equations: Series method , power series method, Frobenius’s method, Legendre’s equation, Bessel’s equation, Hermite ‘s equation, Systems of Linear equations.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
1) Students will learn analytic thinking and evaluation property.
2) Students will learn vector algebra advanced level
3) Students will learn complex analysis
Competence to Work Independently and Take Responsibility

Lesson Plan

Week	Subject	Related Preparation
1)	Calculation of differential and integration of vectors: Vector algebra , gradient, divergent, curl, line integral, Green’s Theorem	Course Notes
2)	The Divergence theorem, Stokes’s theorem.,	Course Notes
3)	Linear Vector Spaces: Linear Vector Space, Linear operators, vector space of finite dimension, matrix algebra	Course Notes
4)	Similarity transforms, eigenvectors and eigenfunctions of matrix	Course Notes
5)	Orthogonal functions: Functions space, orthogonal polynomials, Legendre polynomials	Course Notes
6)	Spherical harmonics, Hermite polynomials, Laguerre polynomials, Bessel functions	Course Notes
7)	Complex Functions: Complex numbers, complex functions, derivative of complex functions	Course Notes
8)	Concept of analytical function, Conditions of Cauchy-Riemann, Complex integral, Cauchy theorem	Course Notes
9)	Formulas of Cauchy integral, series of complex functions, Laurent series	Course Notes
10)	Residue theorem and its applications	Course Notes
11)	Multiple functions and Riemann surfaces	Course Notes
12)	Differential equations: Series method , power series method	Course Notes
13)	Frobenius’s method, Legendre’s equation	Course Notes
14)	Application	Course Notes

Sources

Course Notes / Textbooks:	Higher Engineering Mathematics 44th Edition
References:	Higher Engineering Mathematics 44th Edition

Course-Program Learning Outcome Relationship

Learning Outcomes	1	2	3
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.	1
2)	Has the extensive information about current techniques and their constraints in the field of Power Electronics .	1
3)	Using limited or missing data, completes the information through scientific methods and applies; integrates the information from different disciplines.	1
4)	Aware of new and emerging applications of his/her profession; learn and examine them if needed.	2
5)	Builds the Power Electronics problems, develops methods to solve and implements innovative ways for solution.	3
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.	1
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.	2
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.	2

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