Yozgat Bozok 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
MAT581	KATEGORİ TEORİSİ I	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

To teach the course content of category theory.

Name of Lecturer(s)

Dr.Öğretim Üyesi Hürmet Fulya Akız

Learning Outcomes

1	To learn the concept of category
2	To learn the concepts of section, retraction, isomorphism
3	To learn the concepts of initial, final, zero, product, dual product, free, equaliser and coequaliser objects

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Definition of category and examples, epimorphism, monomorphism, bimorphism, section, retraction, isomorphism, initial object, final object, zero object, product object, dual product object, equaliser and coequaliser objects, free object.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Definition of category and examples
2	Epimorphism, monomorphism
3	Bimorphism, section
4	Retraction, isomorphism
5	Retraction, isomorphism
6	Initial object, final object, zero object
7	Initial object, final object, zero object
8	MID-TERM EXAM
9	Product object
10	Dual product object
11	Dual product object
12	Equaliser and coequaliser objects
13	Equaliser and coequaliser objects
14	Free object
15	Free object
16	FINAL EXAM

Recommended or Required Reading

O. Mucuk. Topoloji ve Kategori. 2010.

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

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Problem Solving	14	3	42
Self Study	14	2	28
Individual Study for Mid term Examination	14	2	28
Individual Study for Final Examination	14	2	28
TOTAL WORKLOAD (hours)			172

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

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