Bahar 2018

MAT 398 : Lineer Cebir (İngilizce)

Duyurular. (Announcements)

Öğrencilerden gelen istek üzerine sınav 10 Nisan'a ertelendi.
Ara sınavı 3 Nisan Salı günü ders saatinde yapmaya karar verdik.
Ders 20 Şubat 2018 Salı günü başlıyor. (The class begins on February 20, 2018, Tuesday.)

Ders saatleri. (Schedule) Salı 13.00-14.50, D2 (Tuesdays, 1.00-2.50 pm, D2)

Kitaplar. (Books) 1. "Linear Algebra", S.H. Friedberg, A.J. Insel, L.E. Spence, Prentice Hall, 4th edition, 2002. [Ana kitap/Main text]
2. "Linear Algebra I", Cemal Koç, Matematik Vakfı, 1998.
3. "Topics in Linear Algebra", Cemal Koç, Matematik Vakfı, 2002.

Puanlama. (Grading) Değerlendirme bir ara sınav (50 puan), derse katılım (10 puan) ve final sınavı (50 puan) üzerinden yapılacaktır. (Evaluation will be based on one midterm exam (50 points), class participation (10 points) and final exam (50 points).)

Sınavlar. (Exams) Ara sınav: 10 Nisan 2018 Salı 13.00 (Midterm exam: April 10, 2018 at 1.00 pm)
Final: Tarihi ilan edilecek (Final exam: Date TBA)

Sınıfta Yapılacaklar. (In the class, tentative)
1^st week: Vector spaces, some simple properties, examples.
2^nd week: Subspaces, examples, non-examples. Sums and direct sums of spaces.
3^rd week: Spanning. Linear dependence/independence.
4^th week: Bases and dimension.
5^th week: Dimension (cont'd). Quotient spaces.
6^th week: Linear Transformations, Kernels, Images.
7^th week: Coordinate vectors. The vector space (algebra) of linear transformations. Representing transformations as matrices. Correspondences, isomorphisms.
8^th week: Midterm exam.
9^th week: Isomorphisms. Change of coordinate matrices. Similarity.
10^th week: Determinants via Leibniz formula.
11^th week: Holiday (First of May)
12^th week: Eigenvalues, eigenvectors, characteristic and minimal polynomials. Cayley-Hamilton Theorem.
14^th week: Diagonalization.

Kitaptan Alıştırmalar. (Exercises)
Section 1.2: 1, 17, 20.
Section 1.3: 1, 11, 20, 21, 24, 25, 26, 27, 31.
Section 1.4: 1, 5a, 11, 15.
Section 1.5: 8, 9, 13b, 14, 16.
Section 1.6: 1, 3b, 11, 14, 15, 22, 26, 32, 33, 34.
Section 2.1: 1 (c,f,g,h), 4, 9e, 10, 12, 18, 22, 35.
Section 2.2: 1, 2b,f, 3, 4, 10, 16.
Section 2.3: 3, 12, 16, 18.
Section 2.4: 1(e,f), 2(c,f), 3, 5, 16, 24.
Section 2.5: 2b, 3c, 4, 9, 10.
Section 5.1: 3b, 4a, 8, 9, 14, 15, 19, 22a.
Section 5.2: 2c,e, 8, 10, 12
Section 7.3: 2b, 3a, 8.
And other problems that were given in the class.

Last update: May 23, 2018
Hazırlayan (Prepared by): Ayşe Berkman