| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Lınear Algebra and Its Applıcatıons | IME 510 | 0 | 3 + 0 | 3 | 6 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | YUKSEK_LISANS |
| Dersin Türü | Seçmeli |
| Dersin Koordinatörü | Doç.Dr. AYŞE ZEYNEP AZAK |
| Dersi Verenler | Doç.Dr. AYŞE ZEYNEP AZAK, |
| Dersin Yardımcıları | Res.Asst.Emine Nur BİLGİÇ |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | Demonstrate the applications of mathematics by making it easier and more enjoyable though which contains the most important concepts of mathematics language and the most basic tools in every area of mathematics and engineering. |
| Dersin İçeriği | Definition of Linear Algebra, Foundations of Linear Algebra, History of Linear Algebra, Vectors and its applications in Linear Algebra, Vector space and its applications in Linear Algebra, Inner product space in Linear Algebra and its applications, Matrices in Linear Algebra, Determinant in Linear Algebra and its applications, Modules in Linear Algebra and its applications, Linear equations systems in Linear Algebra and its applications, Characteristic values in Linear Algebra, Characteristic vectors and their applications in Linear Algebra, Some special transformations in Linear Algebra. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Explain the matrices and linear equations systems | Lecture, Question-Answer, | Homework, Performance Task, |
| 2 | Express the solution of linear equations systems that solved by elementary operations and solve this method | Lecture, Question-Answer, | Homework, Performance Task, |
| 3 | Express the solution of linear equations systems that solved by Gauss-Jordan method and solve this method | Lecture, Question-Answer, | Homework, Performance Task, |
| 4 | Explain the vector spaces and their properties. | Lecture, Question-Answer, | Homework, Performance Task, |
| 5 | Express and apply the concepts of linear independence, linear dependence, basis, dimension. | Lecture, Question-Answer, | Homework, Performance Task, |
| 6 | Express and apply the rank of matrice. | Lecture, Question-Answer, | Homework, Performance Task, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Definition of Linear Algebra | |
| 2 | Foundations of Linear Algebra | |
| 3 | History of Linear Algebra | |
| 4 | Vectors and its applications in Linear Algebra | |
| 5 | Vector space and its applications in Linear Algebra | |
| 6 | Inner product space in Linear Algebra and its applications | |
| 7 | Matrices in Linear Algebra | |
| 8 | Determinant in Linear Algebra and its applications | |
| 9 | Midterm Exam | |
| 10 | Modules in Linear Algebra and its applications | |
| 11 | Linear equations systems in Linear Algebra and its applications | |
| 12 | Characteristic values in Linear Algebra | |
| 13 | Characteristic vectors and their applications in Linear Algebra | |
| 14 | Some special transformations in Linear Algebra |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | |
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 50 |
| 1. Kısa Sınav | 15 |
| 1. Ödev | 20 |
| 2. Kısa Sınav | 15 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 40 |
| 1. Final | 60 |
| 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 | 4 | 64 |
| Assignment | 1 | 10 | 10 |
| Final examination | 1 | 10 | 10 |
| Performance Task (Application) | 3 | 5 | 15 |
| Toplam İş Yükü | 147 | ||
| Toplam İş Yükü / 25 (Saat) | 5,88 | ||
| Dersin AKTS Kredisi | 6 | ||