1. Eğitim Bilgi Sistemi
  2. Ekonometri Bölümü
  3. Lınear Algebra (2020 - 2021)
Ders Adı Kodu Yarıyıl T+U Saat Kredi AKTS
Lınear Algebra EKO 211 3 2 + 0 2 5
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Lisans
Dersin Türü Zorunlu
Dersin Koordinatörü Prof.Dr. NESRİN GÜLER
Dersi Verenler Prof.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
# Ders Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 He/she recognizes the system of linear equation and matrices. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
2 He/she finds the row reduced echelon form of a matrix or a linear system by using elementary row operation. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
3 He/she solves a given linear equation system Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
4 He/she explains the properties of determinants. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
5 He/she applies matrices and determinants to a system of linear equations. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
6 He/she understands the theory of the systems of linear equations Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
7 He/She learns the concept of linear independence and linear dependence. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
8 He/She learns concepts of basis and dimension. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
Hafta Ders Konuları Ön Hazırlık
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.
Sıra Program Çıktıları Katkı Düzeyi
1 2 3 4 5
1 X
2 X
3
4
5
6
7 X
8 X
9
10
11
12 X
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. Final 60
1. Yıl İçinin Başarıya 40
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 20 20
Quiz 3 8 24
Final examination 1 20 20
Toplam İş Yükü 128
Toplam İş Yükü / 25 (Saat) 5,12
Dersin AKTS Kredisi 5