Ders Bilgileri

Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
ADVENCED LINEAR ALGEBRA MAT 254 4 2 + 1 3 5
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü SECMELI Dersin Koordinatörü Prof.Dr. REFİK KESKİN Dersi Verenler Dersin Yardımcıları Research Assistants of Department of Mathematics Dersin Kategorisi Dersin Amacı The objective of this course is teaching the topics of Linear Algebra which is the serial of the acquirements of Linear Algebra I and Linear Algebra II. Dersin İçeriği Vector spaces, Linear transformations, Linear transformations and matrices, Row and column rank, Equation systems, Determinants, Eigen values and eigen vectors, Invariant subspaces, Inner product spaces, Direct sums of subspaces.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/she recalls the notions of vector spaces, linear transformations and proves the theorems related to the subject. 1 - 4 - 15 - A - C - 2 - He/she assembles the relation between linear transformations and matrices. 1 - 4 - 15 - A - C - 3 - He/she recalls the column and row rank of matrices and solves the linear equation systems. 1 - 4 - 15 - A - C - 4 - He/she recalls the subject of finding eigen value and eigen vectors. 1 - 4 - 15 - A - C - 5 - He/she has knowledge about invariant spaces. 1 - 4 - 15 - A - C - 6 - He/she learns inner product spaces, proves the related theorems. 1 - 4 - 15 - A - C - 7 - He/she has knowledge about the direct product of subspaces. 1 - 4 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework

Ders Akışı

Hafta Konular ÖnHazırlık
1 Vector spaces
2 Linear transformations
3 Linear transformations of matrices
4 The column and row rank of matrices
5 Equation systems
6 Determinants
7 Eigen values and eigen vectors
8 Invariant subspaces
9 Invariant subspaces
10 Inner product spaces
11 Inner product spaces
12 Direct sums of subspaces
13 Direct sums of subspaces
14 Direct sums of subspaces

Kaynaklar

Ders Notu
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. Further Linear Algebra, T.S. Blyth and E. F. Robertson, Springer, 2002.
4. Algebra and Geometry, A. F. Beardon, Cambridge Univ. Press, 2005.

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 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
3 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
4 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
5 He/ she has the competency of executing the further studies of undergraduate subjects independently or with shareholders. X
6 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.
7 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
8 He/ she has the knowledge of computer software information as a mathematician needs.
9 He/ she has the knowledge of computer software information as a mathematician needs. X
10 He/ she has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics. X
11 He/ she has scientific and ethic assets in the phases of congregating, annotating and announcing the knowledge about mathematics. X
12 He/ she has the ability to make the mathematical models of contemporary problems and solving them. X
13 He/ she uses the ability of abstract thinking. X

Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
Odev 1 10
KisaSinav 2 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 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 10 10
Quiz 2 4 8
Assignment 1 5 5
Final examination 1 15 15
Toplam İş Yükü 134
Toplam İş Yükü /25(s) 5.36
Dersin AKTS Kredisi 5.36
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