Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
LINEAR ALGEBRA EKO 211 3 2 + 0 2 5
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Doç.Dr. NESRİN GÜLER Dersi Verenler Doç.Dr. NESRİN GÜLER Dersin Yardımcıları Dersin Kategorisi Genel Eğitim Dersin Amacı The objective of this course is giving students to the basic concepts of linear algebra and  providing to enable students to use linear algebra applications in courses such as econometrics and statistics. Dersin İçeriği Systems of linear equations and their solutions, expressing the system of linear equations with matrices, solving systems of linear equations using matrix methods. Operations on matrices, inverse of a matrix, determinant, rank and their relations with solutions of linear equation systems, some special types of matrices, vectors, vector operations, eigenvalues ??and eigenvectors of square matrices and their relations with linear equation systems
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/she recognizes the system of linear equation and matrices. 1 - 2 - 3 - 4 - 15 - A - C - 2 - He/she finds the row reduced echelon form of a matrix or a linear system by using elementary row operation. 1 - 2 - 3 - 4 - 15 - A - C - 3 - He/she solves a given linear equation system 1 - 2 - 3 - 4 - 15 - A - C - 4 - He/she explains the properties of determinants. 1 - 2 - 3 - 4 - 15 - A - C - 5 - He/she applies matrices and determinants to a system of linear equations. 1 - 2 - 3 - 4 - 15 - A - C - 6 - He/she understands the theory of the systems of linear equations 1 - 2 - 3 - 4 - 15 - A - C - 7 - He/She learns the concept of linear independence and linear dependence. 1 - 2 - 3 - 4 - 15 - A - C - 8 - He/She learns concepts of basis and dimension. 1 - 2 - 3 - 4 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 4:Drilland Practice 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Linear Equation systems
2 Elementary Operations on Systems of Linear Equations
3 Matrices and Row Reduction of Linear Systems
4 Operations on Matrices
5 Matrices Forms of Linear Systems and Matrix Equations
6 Inverses of Matrices and Square Linear Systems
7 Theory of Linear Systems
8 Concept of Determinant and Properties of Determinants
9 Midterm Exam
10 Cramer's Rule and Adjoint Form of Inverse
11 Vectors in R^2 and R^3
12 Linear dependence and independence basis and dimension
13 Eigenvalues and eigenvectors
14 Diagonalization

#### Kaynaklar

Ders Notu

Lecture notes,

Stewart VENIT, Wayne BISHOP, Elementary linear algebra, McGraw Hill, Boston, 1985

Ders Kaynakları

1.Basic Linear Algebra, T.S. Blyth and E. F. Robertson, Second ed. Springer.
2.Linear Algebra, John, B. Fraleigh and Raymond A. Beauregard, Addison Wesley, 1990, second ed.
3.David C.Lay, Linear Algebra and Its Applications, Pearson, 2003..
4.Lineer Cebir, Arif Sabuncuoğlu, Nobel yayınları, 2008.
5.Linner Cebir, H.Hilmi Hacısalihoğlu, Gazi Üniversitesi Yayınları.

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 X
2 X
3
4
5
6
7 X
8 X
9
10
11
12 X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
KisaSinav 2 10
KisaSinav 3 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(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 20 20
Quiz 3 8 24
Final examination 1 20 20
Toplam İş Yükü 128
Toplam İş Yükü /25(s) 5.12
Dersin AKTS Kredisi 5.12
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