Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
---|---|---|---|---|---|
Lınear Algebra In Engıneerıng | MAT 114 | 2 | 2 + 0 | 2 | 4 |
Ön Koşul Dersleri | |
Önerilen Seçmeli Dersler | |
Dersin Dili | İngilizce |
Dersin Seviyesi | Lisans |
Dersin Türü | Zorunlu |
Dersin Koordinatörü | Dr.Öğr.Üyesi EMİNE ÇELİK |
Dersi Verenler | Dr.Öğr.Üyesi EMİNE ÇELİK, |
Dersin Yardımcıları | |
Dersin Kategorisi | Genel Eğitim |
Dersin Amacı | Students learn the concepts and apply the methods related with the solution of systems of linear equations, matrices and matrix operations, determinant, rank, eigenvalues and eigenvectors, transformations in two-dimensional space, vector spaces and the theory of linear operators. |
Dersin İçeriği | Solution of linear equations systems (Cramer, inverse matrix, reducing the normal form), matrix and determinant operations, eigenvalues and eigenvectors of the matrix, linear transformations in linear spaces. |
# | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
---|---|---|---|
1 | Basic matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors on behavior of linear systems. | Lecture, Question-Answer, Group Study, Problem Solving, | Testing, Homework, |
Hafta | Ders Konuları | Ön Hazırlık |
---|---|---|
1 | Introduction to systems of linear equations. | |
2 | Vector Equations. The Matrix equation Ax=b. Row reduction and echelon forms. | |
3 | Gaussian Elimination and Gauss-Jordan Elimination. | |
4 | Operations with Matrices. Properties of Matrix operations. | |
5 | Theory of linear systems, homogeneous and nonhomogeneous systems, rank. | |
6 | The inverse of a matrix. Characterization of invertible matrices. | |
7 | The Determinant of a Matrix. Determinants and Elementary operations. Properties of determinants. | |
8 | Applications of Determinants, Cramer's rule. | |
9 | Vectors, linear independence, bases and transformations. | |
10 | The Scalar Product, inner product spaces, orthonormal bases: Gram-Schmidt Process. | |
11 | Eigenvalues and eigenvectors. | |
12 | The Characteristic function. Cayley-Hamilton Theorem. | |
13 | Diagonalization. Similar Matrices. | |
14 | Eigenvalues and eigenvectors on behaviors of linear systems. |
Kaynaklar | |
---|---|
Ders Notu | Lecture Notes |
Ders Kaynakları | [1] David C.Lay, Linear Algebra and Its Applications, Pearson, 2003. [2] Ron Larson, Elementary Linear Algebra, Cengage Learning, 2017. |
Değerlendirme Sistemi | |
---|---|
Yarıyıl Çalışmaları | Katkı Oranı |
1. Ara Sınav | 70 |
1. Kısa Sınav | 10 |
2. Kısa Sınav | 10 |
3. Kısa Sınav | 10 |
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 | 2 | 32 |
Hours for off-the-classroom study (Pre-study, practice) | 16 | 2 | 32 |
Mid-terms | 1 | 8 | 8 |
Quiz | 2 | 8 | 16 |
Assignment | 1 | 8 | 8 |
Final examination | 1 | 10 | 10 |
Toplam İş Yükü | 106 | ||
Toplam İş Yükü / 25 (Saat) | 4,24 | ||
Dersin AKTS Kredisi | 4 |