Akademik Dersler - Tanıtım


Code - Course Title	MAT273 - Construction of Number Systems
Course Type	Area Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	5.0
Course Instructor(s)	DOÇENT NEZAHAT ÇETİN
Mode of Delivery	The mode of delivery of this course is Face to face
Prerequisites
Courses Recomended
Recommended Reading List	None
Assessment methods and criteria	2 midterm exams and 1 final exam
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Preliminaries: Propositions, sets, relations, functions, partial order relations, supremum, infimum, binary operations.
Week - 2	The natural number system
Week - 3	Peano's axioms
Week - 4	Ordering of the natural numbers
Week - 5	Integers and their properties
Week - 6	Properties of integers
Week - 7	Rational numbers and their properties
Week - 8	Cauchy sequences
Week - 9	Real numbers as limits of cauchy sequences
Week - 10	Properties of real numbers
Week - 11	Dedekind cut
Week - 12	Zorn's Lemma and axiom of choice
Week - 13	Construction of real numbers by Dedekind cut.
Week - 14	Complex numbers and properties

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	30
Homework	1	20
Final Exam	1	50
2.Midterm Exam	1	30
Toplam (%)		130