| Dersin Kodu | Dersin Adı | Dersin Türü | Yıl | Yarıyıl | AKTS | | MM212B | Mathematics IV | Zorunlu | 2 | 4 | 4 |
|
| Dersin Seviyesi |
| Lisans |
| Dersin Amacı |
| Students learn matrices, solving equation systems with matrices, vector spaces, linear transformations and applications. |
| Dersi Veren Öğretim Görevlisi/Görevlileri |
| -Dr. Öğr. Üyesi Ebubekir AKKOYUNLU |
| Öğrenme Çıktıları |
| 1 | To learn the basic concepts of matrix algebra and to apply the operations defined on matrices | | 2 | Use matrices in solving linear equation systems | | 3 | To be able to understand basic concepts about vector spaces and subspaces and to give an example | | 4 | Be able to explain the base, base and dimension concepts of vector space | | 5 | Express a vortex of different bases and find their coordinates | | 6 | Be able to calculate the norm of a vector in the Inner Product axes and determine whether the two vectors are perpendicular | | 7 | Orthogonalization of linear independent vectors using the Gram-Schmidt method | | 8 | Problem solving using properties of linear transformations | | 9 | The kernel of a linear transformation can find image spaces and their base and size | | 10 | Be able to find and diagonalize eigenvalues, eigenvectors of a matrix or a Linear transformation |
|
| Öğrenim Türü |
| Normal Education |
| Dersin Ön Koşulu Olan Dersler |
| None |
| Ders İçin Önerilen Diğer Hususlar |
| None |
| Dersin İçeriği |
| Linear Algebra and Applications |
| Haftalık Ayrıntılı Ders İçeriği |
|
| 1 | Matrices and Properties, Matrices and Matrix Operations, Inverse Matrices and Properties, Matrix Ranges, | | | | 2 | Operations on the matrix, Elemanter row - column operations and applications | | | | 3 | Determinant, Determinant and Applications | | | | 4 | Linear equation systems and solutions | | | | 5 | Vector Concept and Properties, Inner Product of Vectors and Properties, | | | | 6 | Concept of vector space, Sub vector space | | | | 7 | Vectors linear dependence and independence | | | | 8 | Midterm exam | | | | 9 | Base in a vector space, Dimension and Base Concepts | | | | 10 | Relationships Between Vectors, Inner Product, Norm Concept and Properties, Situations of Two Vectors According to One | | | | 11 | Gram - Schmidt Method, Orthogonal Vectors, Gram - Schmidt Orthogonalization Method | | | | 12 | Linear Transformations and Properties, kernel of linear transformations and image spaces | | | | 13 | Matrix Representations of Linear Transformations, Composites and Inverses | | | | 14 | Eigenvalues and eigenvectors of linear transformations | | | | 15 | Diagonalization of Matrix and its Applications. | | |
|
| Ders Kitabı / Malzemesi / Önerilen Kaynaklar |
|
| Planlanan Öğrenme Aktiviteleri ve Metodları |
|
| Değerlendirme | |
| Midterm Examination | 1 | 100 | | TOPLAM | 100 | |
| Final Examination | 1 | 100 | | TOPLAM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | TOPLAM | 100 |
| | Dersin Sunulduğu Dil | | Turkish | | Staj Durumu | | None |
|
| İş Yükü Hesaplaması |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 3 | 42 |
| Self Study | 14 | 5 | 70 |
| Individual Study for Mid term Examination | 1 | 8 | 8 |
| Individual Study for Final Examination | 1 | 10 | 10 |
|
| Program ve Öğrenme Çıktıları İlişkisi |
| ÖÇ1 | 5 | 4 | 2 | 5 | 4 | 3 | 1 | 2 | 2 | 3 | 1 | 1 | | ÖÇ2 | 5 | 4 | 1 | 5 | 4 | 3 | 1 | 2 | 2 | 3 | 1 | 1 | | ÖÇ3 | 5 | 4 | 2 | 4 | 4 | 3 | 1 | 2 | 2 | 2 | 1 | 1 | | ÖÇ4 | 4 | 5 | 2 | 5 | 4 | 3 | 1 | 2 | 2 | 3 | 1 | 1 | | ÖÇ5 | 4 | 5 | 1 | 5 | 4 | 4 | 1 | 2 | 2 | 2 | 1 | 1 | | ÖÇ6 | 3 | 5 | 1 | 2 | 3 | 4 | 1 | 1 | 2 | 3 | 1 | 1 | | ÖÇ7 | 2 | 3 | 2 | 3 | 3 | 3 | 1 | 1 | 2 | 2 | 1 | 1 | | ÖÇ8 | 4 | 1 | 1 | 2 | 5 | 4 | 1 | 1 | 2 | 3 | 1 | 1 | | ÖÇ9 | 3 | 4 | 1 | 5 | 5 | 4 | 1 | 1 | 2 | 2 | 1 | 1 | | ÖÇ10 | 2 | 2 | 1 | 4 | 3 | 5 | 1 | 1 | 2 | 3 | 1 | 1 |
|
| * Katkı Düzeyi : 1 Çok düşük 2 Düşük 3 Orta 4 Yüksek 5 Çok yüksek |
 |
| |