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. |
|
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. |
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