Automotive Mechatronics and Intelligent Vehicles (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) Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.
2) The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.
3) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)
4) Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.
5) Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics.
6) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.
7) Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8) Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal.
9) Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications.
10) Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development.
11) Information about the universal and social health, environmental and safety effects of engineering applications and the ways in which contemporary problems are reflected in the engineering field; awareness of the legal consequences of engineering solutions.
12) Knowledge on advanced calculus, including differential equations applicable to automotive engineering; familiarity with statistics and linear algebra; knowledge on chemistry, calculus-based physics, dynamics, structural mechanics, structure and properties of materials, fluid dynamics, heat transfer, manufacturing processes, electronics and control, design of vehicle elements, vehicle dynamics, vehicle power train systems, automotive related regulations and vehicle validation/verification tests; ability to integrate and apply this knowledge to solve multidisciplinary automotive problems; ability to apply theoretical, experimental and simulation methods and, computer aided design techniques in the field of automotive engineering; ability to work in the field of vehicle design and manufacturing.

Course - Learning Outcome Relationship

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

	Program Outcomes	Level of Contribution
1)	Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems.	3
2)	The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose.	2
3)	The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.)	3
4)	Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively.	3
5)	Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics.
6)	The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill.
7)	Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8)	Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal.
9)	Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications.
10)	Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development.
11)	Information about the universal and social health, environmental and safety effects of engineering applications and the ways in which contemporary problems are reflected in the engineering field; awareness of the legal consequences of engineering solutions.
12)	Knowledge on advanced calculus, including differential equations applicable to automotive engineering; familiarity with statistics and linear algebra; knowledge on chemistry, calculus-based physics, dynamics, structural mechanics, structure and properties of materials, fluid dynamics, heat transfer, manufacturing processes, electronics and control, design of vehicle elements, vehicle dynamics, vehicle power train systems, automotive related regulations and vehicle validation/verification tests; ability to integrate and apply this knowledge to solve multidisciplinary automotive problems; ability to apply theoretical, experimental and simulation methods and, computer aided design techniques in the field of automotive engineering; ability to work in the field of vehicle design and manufacturing.

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