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
MAT582	KATEGORİ TEORİSİ II	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 AKIZ

Learning Outcomes

1	To learn the pullback and pushout diagrams
2	To learn the concepts of functor, natural transformations
3	To learn the equivalence of categories

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Pullback and Pushout diagrams, functors, natural transformations, the equivalence of categories , adjoint functors.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Pullback and Pushout diagrams
2	Pullback and Pushout diagrams
3	Pullback and Pushout diagrams
4	Pullback and Pushout diagrams
5	Functors
6	Functors
7	Functors
8	MID-TERM EXAM
9	Natural transformations
10	Natural transformations
11	The equivalence of categories
12	The equivalence of categories
13	Adjoint functors
14	Adjoint functors
15	Adjoint functors
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