Akademik Dersler - Tanıtım


Code - Course Title	MAT118 - Abstract Mathematics II
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	2+2
ECTS	5.0
Course Instructor(s)	ARAŞTIRMA GÖREVLİSİ DOKTOR MEHMET ERGEN, PROFESÖR DOKTOR ŞENAY BULUT
Mode of Delivery	The mode of delivery of this course is Face to face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	There is no a prerequisite or co-requisite for this course.
Required or Recommended Resources	The instructor will provide a course pack(bulk pack) with all suggested readings
Recommended Reading List	Soyut Matematik - Özer, O., Çoker, D., Taş, K., Bilim Yayınları
Assessment methods and criteria	Written exam.
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Lattice order or posets and well-ordered sets
Week - 2	Principle of transfinite induction
Week - 3	Algebraic structures: Groups
Week - 4	Ring
Week - 5	Number systems and the construction of natural numbers
Week - 6	Construction of integers
Week - 7	Construction of rationals numbers
Week - 8	Dedekind cuts and construction of real numbers
Week - 9	Cardinality
Week - 10	Schröder-Bernstein-Cantor theorem and its consequences
Week - 11	Infinite sets
Week - 12	Cardinal arithmetic
Week - 13	Ordinal numbers
Week - 14	Axiom of choice and its equivalences

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
Toplam (%)		0