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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
LINEAR ALGEBRA I MAT 107 1 3 + 0 3 4
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Lisans
Dersin Türü ZORUNLU
Dersin Koordinatörü Öğr.Gör.Dr. EMİNE ÇELİK
Dersi Verenler Dr.Öğr.Üyesi HİDAYET HÜDA KÖSAL
Öğr.Gör.Dr. EMİNE ÇELİK
Dersin Yardımcıları Assitants of Mathematics Department
Dersin Kategorisi
Dersin Amacı
The objective of this course is giving the fundamental knowledge of matrices and determinants, introducing the equation systems and investigating the solutions of equation systems.
Dersin İçeriği
Algebraic structures, Matrices, Determinants, Linear equation systems, Theory of linear equation systems.
Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
1 - He/she understands the geometry of m dimensional real vector space and basic concepts. 1 - 2 - 3 - A - C -
2 - He/she recognizes the system of linear equation. 1 - 2 - 3 - 4 - 15 - A - C -
3 - He/she finds the row reduced echelon form of a matrix or a linear system by using elementary row operation. 2 - 3 - 4 - 15 - A - C -
4 - He/she solves a given linear equation system. 2 - 3 - 4 - 15 - A - C -
5 - He/she explains the properties of determinants. 1 - 2 - 3 - 4 - 15 - A - C -
6 - He/she applies matrices and determinants to a system of linear equations. 2 - 3 - 4 - 15 - A - C -
7 - He/she understands the theory of the systems of linear equations 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 Vectors in R^2 and R^3
2 Dot (Scalar) and Cross (Vectoral) Products
3 Systems of Linear Equations
4 Elementary Operations on Systems of Linear Equations
5 Matrices and Row Reduction of Linear Systems
6 Operations on Matrices
7 Matrices Forms of Linear Systems and Matrix Equations
8 Inverses of Matrices and Square Linear Systems
9 Theory of Linear Systems
10 Theory of Linear Systems
11 Concept of Determinant
12 Properties of Determinants
13 Cramer's Rule and Adjoint Form of Inverse
14 Theory of Cramer's Rule

Kaynaklar

Ders Notu 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.Stewart VENIT, Wayne BISHOP, Elementary linear algebra, McGraw Hill, Boston, 1985.
4.Lineer Cebir, Arif Sabuncuoğlu, Nobel yayınları, 2008.
5.Linner Cebir, H.Hilmi Hacısalihoğlu, Gazi Üniversitesi Yayınları.

Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 He/ she has the ability to use the related materials about mathematics, constructed on competency, achieved in secondary education and also has the further knowledge equipment. X
2 Evaluating the fundamental notions, theories and data with academic methods, he/ she determines and analyses the encountered problems and subjects, exchanges ideas, improves suggestions propped up proofs and inquiries. X
3 He/ she has the competency of executing the further studies of undergraduate subjects independently or with shareholders. X
4 He/ she follows up the knowledge of mathematics and has the competency of getting across with his (or her) professional colleagues within a foreign language. X
5 He/ she has the knowledge of computer software information as a mathematician needs. X
6 He/ she has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics. X
7 He/ she has the ability to make the mathematical models of contemporary problems and solving them. X
8 He/ she uses the ability of abstract thinking. 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 60
Finalin Başarıya Oranı 40
Toplam 100

AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 6 6
Quiz 3 1 3
Final examination 1 5 5
Toplam İş Yükü 110
Toplam İş Yükü /25(s) 4.4
Dersin AKTS Kredisi 4.4
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