Automotive Mechatronics and Intelligent Vehicles (with thesis) | |||||
Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 |
Course Code: | EEE522 | ||||||||
Course Name: | Harmonics Analysis and Partial Differantial Equations | ||||||||
Course Semester: |
Spring Fall |
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Course Credits: |
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Language of instruction: | EN | ||||||||
Course Requisites: | |||||||||
Does the Course Require Work Experience?: | No | ||||||||
Type of course: | Department Elective | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Assoc. Prof. ÖMER CİHAN KIVANÇ | ||||||||
Course Lecturer(s): | |||||||||
Course Assistants: |
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 |
The students who have succeeded in this course;
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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 |
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. |
Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
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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. |
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. |
Lesson | |
Project preparation |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
Individual Project |
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 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 14 | 3 | 42 |
Project | 1 | 175 | 175 |
Final | 1 | 80 | 80 |
Total Workload | 297 |