Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
---|---|---|---|---|---|
Introductıon To Inverse Problems | MAT 535 | 0 | 3 + 0 | 3 | 6 |
Ön Koşul Dersleri | Partial differential equations |
Önerilen Seçmeli Dersler | |
Dersin Dili | Türkçe |
Dersin Seviyesi | YUKSEK_LISANS |
Dersin Türü | Seçmeli |
Dersin Koordinatörü | Prof.Dr. METİN YAMAN |
Dersi Verenler | Prof.Dr. METİN YAMAN, |
Dersin Yardımcıları | Research assistants |
Dersin Kategorisi | Diğer |
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 |
# | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
---|---|---|---|
1 | He/She defines the inverse problems. | Lecture, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, Performance Task, |
2 | He/She has information about ill-posed problems. | Lecture, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, Performance Task, |
3 | He/She learns some methods to solve the inverse problems . | Lecture, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, Performance Task, |
4 | He/She has knowledge about stability and uniquesness of problem. | Lecture, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, Performance Task, |
5 | He/She develops a method for solving parabolic equation. | Lecture, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, Performance Task, |
6 | He/She develops a method for solving hyperbolic equation. | Lecture, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, Performance Task, |
7 | He/ she applies this methods to some problems. | Lecture, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, Performance Task, |
Hafta | Ders Konuları | Ön Hazırlık |
---|---|---|
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 |
Kaynaklar | |
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Ders Notu | |
Ders Kaynakları |
Sıra | Program Çıktıları | Katkı Düzeyi | |||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | |||
2 | Student follows the current journals in his/her field and puts forward problems. | 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 | |||||
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 | |||||
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 | |||||
5 | Student uses different proof methods to come to a solution by analyzing the problems encountered. | ||||||
6 | Student determines the problems to be solved within his/her field and if necessary takes the lead. | 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 | |||||
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 | |||||
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 | |||||
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. | ||||||
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 | |||||
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. Ödev | 30 |
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 | 10 | 10 |
Assignment | 1 | 30 | 30 |
Final examination | 1 | 10 | 10 |
Toplam İş Yükü | 146 | ||
Toplam İş Yükü / 25 (Saat) | 5,84 | ||
Dersin AKTS Kredisi | 6 |