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