Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
ALGEBRA AND GEOMETRY MAT 351 5 2 + 0 2 4
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü SECMELI Dersin Koordinatörü Prof.Dr. REFİK KESKİN Dersi Verenler Prof.Dr. REFİK KESKİN Dersin Yardımcıları Dersin Kategorisi Dersin Amacı The objective of this course ic giving the common topics of algebra and geometry, and showing the relation between them. Dersin İçeriği Groups and permutations, Modular arithmetic, Lines and circles, Isometrics in the plane, Isometrics of Euclidean spaces, Reflections and translations, Distance in Euclidean space, Isometrics of n-dimentional Euclidean spaces, Mobius transformations, Cyclic groups, Theorem of Lagrange, Group actions.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/she recalls the fundamental definitions and theorems of groups. 1 - 4 - 15 - A - C - 2 - He/she recalls the important notions of geometry. 1 - 4 - 15 - A - C - 3 - He/she learns the common ways of groups and geometry by distinguishing the relations of geometry and algebra. 1 - 4 - 15 - A - C - 4 - He/she has knowledge about lines and circles. 1 - 4 - 15 - A - C - 5 - He/she recognizes Mobious transformations. 1 - 4 - 15 - A - C - 6 - He/she learns the definition and proof of Lagrange Theorem and uses this in the proofs of the theorems. 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 Groups and permutations
2 Modular arithmetic
3 Lines and circles
4 Isometrics in the plane
5 Isometrics of Euclidean spaces
6 Reflections and translations
7 Distance in Euclidean space
8 Isometrics of n-dimentional Euclidean spaces
9 Mobius transformations
10 Cyclic groups
11 Theorem of Lagrange
12 Theorem of Lagrange
13 Group actions
14 Group actions

#### Kaynaklar

Ders Notu
Ders Kaynakları

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 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
Odev 1 10
KisaSinav 2 10
Toplam 100
Yıliçinin Başarıya Oranı 40
Finalin Başarıya Oranı 60
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(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 10 10
Assignment 1 15 15
Performance Task (Laboratory) 1 20 20
Toplam İş Yükü 109
Toplam İş Yükü /25(s) 4.36
Dersin AKTS Kredisi 4.36
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