Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
FOURİER ANALYSİS MAT 559 0 3 + 0 3 6
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Doç.Dr. METİN YAMAN Dersi Verenler Dersin Yardımcıları Research assistants Dersin Kategorisi 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
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/She recognize the Fourier series. 1 - 15 - 2 - 4 - 8 - A - B - C - F - 2 - He/She learn the fourier integrals. 8 - 4 - 2 - 15 - 1 - F - C - B - A - 3 - He/She define fourier transformation. 1 - 15 - 2 - 4 - 8 - A - B - C - F - 4 - He/She explain the properties of fourier transformation. 8 - 4 - 2 - 15 - 1 - F - C - B - A - 5 - He/She apply the parseval property to some integrals. 1 - 15 - 2 - 4 - 8 - A - B - C - F - 6 - He/She solve boundary value problems with fourier transformation. 8 - 4 - 2 - 15 - 1 - F - C - B - A - 7 - She apply this transformation to partial differential equations. 1 - 15 - 2 - 4 - 8 - A - B - C - F -
 Öğretim Yöntemleri: 1:Lecture 15:Problem Solving 2:Question-Answer 4:Drilland Practice 8:Group Study Ölçme Yöntemleri: A:Testing B:Oral Exam C:Homework F:Performance Task

#### Ders Akışı

Hafta Konular ÖnHazırlık
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

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 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

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
Odev 1 10
KisaSinav 2 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(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(s) 6.24
Dersin AKTS Kredisi 6.24
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