Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
---|---|---|---|---|---|
Fourier Analysis | MAT 559 | 0 | 3 + 0 | 3 | 6 |
Ön Koşul Dersleri | |
Önerilen Seçmeli Dersler | |
Dersin Dili | Türkçe |
Dersin Seviyesi | YUKSEK_LISANS |
Dersin Türü | Seçmeli |
Dersin Koordinatörü | Prof.Dr. METİN YAMAN |
Dersi Verenler | |
Dersin Yardımcıları | Research assistants |
Dersin Kategorisi | Diğer |
Dersin Amacı | It’s aiming to solve ordinary and partial differential equations arising in engineering and science. |
Dersin İçeriği | Fourier Series, Fourier Integrals, some applications |
# | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
---|---|---|---|
1 | He/She recognize the Fourier series. | Lecture, Problem Solving, Question-Answer, Drilland Practice, Group Study, | Testing, Oral Exam, Homework, Performance Task, |
2 | He/She learn the fourier integrals. | Group Study, Drilland Practice, Question-Answer, Problem Solving, Lecture, | Performance Task, Homework, Oral Exam, Testing, |
3 | He/She define fourier transformation. | Lecture, Problem Solving, Question-Answer, Drilland Practice, Group Study, | Testing, Oral Exam, Homework, Performance Task, |
4 | He/She explain the properties of fourier transformation. | Group Study, Drilland Practice, Question-Answer, Problem Solving, Lecture, | Performance Task, Homework, Oral Exam, Testing, |
5 | He/She apply the parseval property to some integrals. | Lecture, Problem Solving, Question-Answer, Drilland Practice, Group Study, | Testing, Oral Exam, Homework, Performance Task, |
6 | He/She solve boundary value problems with fourier transformation. | Group Study, Drilland Practice, Question-Answer, Problem Solving, Lecture, | Performance Task, Homework, Oral Exam, Testing, |
7 | She apply this transformation to partial differential equations. | Lecture, Problem Solving, Question-Answer, Drilland Practice, Group Study, | Testing, Oral Exam, Homework, Performance Task, |
Hafta | Ders Konuları | Ön Hazırlık |
---|---|---|
1 | Fourier series, orthogonal functions | |
2 | Fourier sine and cosine series | |
3 | Approximation with finite fourier series | |
4 | Complex fourier series | |
5 | Fourier integral and trigonometric form, fourier theorem | |
6 | Fourier transformation | |
7 | Relations | |
8 | Fourier sine and cosine transformations | |
9 | Properties of fourier transformation, convolution theorems,Time convolution, frekans convolution | |
10 | Parseval Theorem | |
11 | Midterm | |
12 | Fourier transformation of some special functions | |
13 | Solution to boundary value problems with fourier transformation | |
14 | Applications |
Kaynaklar | |
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Ders Notu | |
Ders Kaynakları |
Sıra | Program Çıktıları | Katkı Düzeyi | |||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | |||
0 | Develop strategic, political and practice plans and evaluate the results by taking into account the quality process in his/her area of expertise | X | |||||
2 | Student follows the current journals in his/her field and puts forward problems. | X | |||||
3 | Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics | X | |||||
4 | Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. | X | |||||
5 | Student uses different proof methods to come to a solution by analyzing the problems encountered. | X | |||||
6 | Student determines the problems to be solved within his/her field and if necessary takes the lead. | X | |||||
7 | Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. | X | |||||
8 | Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters | X | |||||
9 | Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. | X | |||||
10 | Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. | X | |||||
11 | Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. | X |
Değerlendirme Sistemi | |
---|---|
Yarıyıl Çalışmaları | Katkı Oranı |
1. Ara Sınav | 70 |
1. Kısa Sınav | 10 |
1. Ödev | 10 |
2. Kısa Sınav | 10 |
Toplam | 100 |
1. Yıl İçinin Başarıya | 50 |
1. Final | 50 |
Toplam | 100 |
AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
---|---|---|---|
Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
Mid-terms | 1 | 30 | 30 |
Assignment | 1 | 20 | 20 |
Final examination | 1 | 10 | 10 |
Toplam İş Yükü | 156 | ||
Toplam İş Yükü / 25 (Saat) | 6,24 | ||
Dersin AKTS Kredisi | 6 |