Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
---|---|---|---|---|---|
Adnanced Dıfferentıal Equatıons I | MAT 546 | 0 | 3 + 0 | 3 | 6 |
Ön Koşul Dersleri | No. |
Önerilen Seçmeli Dersler | No. |
Dersin Dili | Türkçe |
Dersin Seviyesi | YUKSEK_LISANS |
Dersin Türü | Seçmeli |
Dersin Koordinatörü | Prof.Dr. ŞEVKET GÜR |
Dersi Verenler | Prof.Dr. ŞEVKET GÜR, |
Dersin Yardımcıları | |
Dersin Kategorisi | Alanına Uygun Öğretim |
Dersin Amacı | To provide advanced information about the theory of linear and nonlinear equations. |
Dersin İçeriği | Theory of Linear Differential Equations, Higher order Nonlinear Differential Equations. |
# | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
---|---|---|---|
1 | He/She Recognizes the differential operators. | Lecture, Question-Answer, Drilland Practice, Problem Solving, | Testing, Homework, Performance Task, |
2 | He/She Know the basic theorems of linear differential equations. | Lecture, Question-Answer, Drilland Practice, Problem Solving, | Testing, Homework, Performance Task, |
3 | He/She Knows homogeneous differential equations. | Lecture, Question-Answer, Drilland Practice, Problem Solving, | Testing, Homework, Performance Task, |
4 | He/She Knows nonhomogeneous differential equations. | Lecture, Question-Answer, Drilland Practice, Problem Solving, | Testing, Homework, Performance Task, |
5 | He/She Learns definitions of Adjoint and self adjoint operators. | Lecture, Question-Answer, Drilland Practice, Problem Solving, | Testing, Homework, Performance Task, |
6 | He/She Recognizes the non-linear equations. | Lecture, Question-Answer, Drilland Practice, Problem Solving, | Testing, Homework, Performance Task, |
7 | He/She Knows the methods of solution of nonlinear equations. | Lecture, Discussion, Drilland Practice, Problem Solving, | Testing, Homework, Performance Task, |
Hafta | Ders Konuları | Ön Hazırlık |
---|---|---|
1 | Basic definitions and concepts. | |
2 | Basic definitions and concepts. | |
3 | Differential operator. | |
4 | Basic theory of linear differential equations. | |
5 | Algebra of linear differential operators. | |
6 | Algebra of linear differential operators. | |
7 | Basic theorems about solutions of linear differential equations. | |
8 | Basic theorems about solutions of linear differential equations. | |
9 | Midterm. | |
10 | Further properties homogeneous linear differential equation. | |
11 | Further properties homogeneous linear differential equation. | |
12 | Methods of solution of nonlinear equations. | |
13 | Methods of solution of nonlinear equations. | |
14 | Methods of solution of nonlinear equations. |
Kaynaklar | |
---|---|
Ders Notu | [1] Differential Equations, Shepley L. Ross |
Ders Kaynakları | [2] Adi diferansiyel denklemler, Prof.Dr.Mehmet Çağlıyan, Y.Doç.Dr.Nisa Çelik, Y.Doç.Dr.Setenay Doğan, Dora yayınları. |
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. | ||||||
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 | ||||||
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. | ||||||
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. | ||||||
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. | ||||||
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 | 75 |
1. Ödev | 25 |
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 | 25 | 25 |
Final examination | 1 | 10 | 10 |
Toplam İş Yükü | 161 | ||
Toplam İş Yükü / 25 (Saat) | 6,44 | ||
Dersin AKTS Kredisi | 6 |