Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
---|---|---|---|---|---|
Special Topics On Partial Differantial Equations | MAT 566 | 0 | 3 + 0 | 3 | 6 |
Ön Koşul Dersleri | Students are assumed to be familiar with Ordinary differential equations and partial differential equations. |
Önerilen Seçmeli Dersler | |
Dersin Dili | Türkçe |
Dersin Seviyesi | YUKSEK_LISANS |
Dersin Türü | Seçmeli |
Dersin Koordinatörü | Prof.Dr. ÖMER FARUK GÖZÜKIZIL |
Dersi Verenler | |
Dersin Yardımcıları | |
Dersin Kategorisi | Diğer |
Dersin Amacı | To Understand the applications of Partial Differantial Equations in engineering and other applied sciences. |
Dersin İçeriği | Classification of the partial differantial equation for second order and more. |
# | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
---|---|---|---|
1 | He/she understands the applications of Partial Differantial Equations in engineering and other applied sciences. | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
2 | He/she establishs differantial equation of an engineering problem. | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
3 | He/she linferences to Partial Differantial Equations. | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
4 | He/she compares to the different solution methods. | Lecture, Drilland Practice, Problem Solving, | Testing, Homework, |
Hafta | Ders Konuları | Ön Hazırlık |
---|---|---|
1 | Classification of the partial differantial equations. | |
2 | Hyperbolic , parabolic and elliptic types. | |
3 | Separable variables methods. | |
4 | Green functions. | |
5 | The green functions of some partial equations. | |
6 | The hyperbolic method. | |
7 | Sin-cos expansions. | |
8 | To solve partial equations by using sin-cos expansions. | |
9 | Midterm | |
10 | Tanh and cotanh methods. | |
11 | To solve partial equations by using sin-cos expansions. | |
12 | Extended sin-cos methods. | |
13 | Extended Tanh and cotanh methods. | |
14 | Comparing to the hyperbolic expansions and separable variables methods. |
Kaynaklar | |
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Ders Notu | |
Ders Kaynakları | 1. Elements of Partial Differential Equations , McGraw-Hill , 1957. |
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. | X | |||||
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. | 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 | |||||
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 | 25 | 25 |
Assignment | 1 | 25 | 25 |
Toplam İş Yükü | 146 | ||
Toplam İş Yükü / 25 (Saat) | 5,84 | ||
Dersin AKTS Kredisi | 6 |