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