Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
INTRODUCTION TO INVERSE PROBLEMS MAT 535 0 3 + 0 3 6
Ön Koşul Dersleri Partial differential equations
 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 To introduce and analyze the inverse problems arise in the applied sciences. Dersin İçeriği Introduction, examples of some inverse problems, ill-posed problems, uniqueness and stability problems, inverse problems for parabolic equations, inverse problems for hyperbolic equations
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/She defines the inverse problems. 1 - 4 - 14 - 15 - A - C - F - 2 - He/She has information about ill-posed problems. 1 - 4 - 14 - 15 - A - C - F - 3 - He/She learns some methods to solve the inverse problems . 1 - 4 - 14 - 15 - A - C - F - 4 - He/She has knowledge about stability and uniquesness of problem. 1 - 4 - 14 - 15 - A - C - F - 5 - He/She develops a method for solving parabolic equation. 1 - 4 - 14 - 15 - A - C - F - 6 - He/She develops a method for solving hyperbolic equation. 1 - 4 - 14 - 15 - A - C - F - 7 - He/ she applies this methods to some problems. 1 - 4 - 14 - 15 - A - C - F -
 Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice 14:Self Study 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework F:Performance Task

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Fundamental concepts
2 What is the inverse problem, examples
3 Ill-posed problems
4 Existence-uniqueness
5 Stability problems
6 Stability problems
7 Inverse problems for parabolic equations
8 Inverse problems for parabolic equations
9 Inverse problems for parabolic equations
10 Midterm
11 Inverse problems for hyperbolic equations
12 Inverse problems for hyperbolic equations
13 Inverse problems for hyperbolic equations
14 Some applications

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Student follows the current journals in his/her field and puts forward problems. X
2 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
3 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
4 Student uses different proof methods to come to a solution by analyzing the problems encountered.
5 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
6 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
7 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
8 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
9 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.
10 Student follows the current journals in his/her field and puts forward problems. X
11 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
12 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
13 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
14 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
15 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
16 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
17 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
18 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
19 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
20 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
Odev 1 30
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 10 10
Assignment 1 30 30
Final examination 1 10 10
Toplam İş Yükü 146
Toplam İş Yükü /25(s) 5.84
Dersin AKTS Kredisi 5.84
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