Iğdır University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
170300401203	ABSTRACT MATH. II	Compulsory	1	2	5

Level of Course Unit

First Cycle

Objectives of the Course

It is to give sufficient abstract mathematics knowledge to students for Analiysis, Topology and Algebra

Name of Lecturer(s)

Dr. Öğr. Üyesi Alkan ÖZKAN

Learning Outcomes

1	Remember basic information about the basic concepts of mathematics.
2	Learn mathematical proof methods. Recognize and apply the quantification logic.
3	Learns the basic properties of sets and sets algebra.
4	Explains the indexed family of clusters and their basic properties. Interprets the separation of a cluster and the family of clusters forming its cover.
5	Learns the basic properties of Cartesian product sets. Learns basic information about functions.
6	The ability to use abstract thinking.
7	The ability to use mathematics in other disciplines
8	The ability to follow professional-to-date and modern developments.

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

NONE

Recommended Optional Programme Components

NONE

Course Contents

Propositions, Symbolic logic, Mathematical proofs, Quantify logic, Sets, Subsets, algebra of sets, Family of sets, Concept of separation, Concept of cover, Cartesian product sets, Functions, Fundamental properties of functions

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Relations
2	Equivalence relations
3	Partially ordered sets
4	Increasing functions and isomorphism
5	Lattices
6	Well ordered sets
7	Axiom of choice
8	Operations
9	Groups
10	Midterm exam
11	Rings
12	Fields and vector spaces
13	Natural numbers and integers
14	Rational and real numbers
15	Finite and infinite sets, countable and uncountable sets

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

NONE

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	2	2
Attending Lectures	14	4	56
Practice	14	2	28
Problem Solving	14	1	14
Question-Answer	14	1	14
Brain Storming	14	2	28
TOTAL WORKLOAD (hours)			143

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1	3	5	4	4	4	5	4	5	5	4
LO2	4	4	4	4	5	5	4	4	4	4
LO3	4	4	4	5	5	4	4	4	4	4
LO4	4	4	4	5	5	4	4	4	4	3
LO5	4	4	4	5	5	5	4	5	4	4
LO6	4	4	4	5	4	4	4	5	4	4
LO7	5	5	4	3	4	5	5	5	4	4
LO8	5	4	5	3	4	4	4	4	4	4

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High