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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 570CATEGORY THEORY3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective The aim of this lesson is to carry the tpologic structures and their properties to categories.
Course Content Category, Monomorphism, Epimorphism, Initial and Terminal Object, Functor, Natural Mappings, Functor Category, Limit at Category, Equalizer, Co-equalizer, Limit, Co-limit, Pullback, Pushout, Adverse and Direct Limits, Limit at Functor Category, Universal Mappings, Adjoint Functor.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns Category, Monomorphism, Epimorphism, Initial and Terminal Object, Functor, Natural Mappings, Functor Category, Limit at Category, Equalizer, Co-equalizer.
2Recognizes Limit, Co-limit, Pullback, Pushout, Adverse and Direct Limits, Limit at Functor Category, Universal Mappings, Adjoint Functor.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0015  54   
LO 0024  45   
Sub Total9  99   
Contribution50055000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2022-2023 Spring1ALİ AYTEKİN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 570 CATEGORY THEORY 3 + 0 1 Turkish 2022-2023 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Assoc. Prof. Dr. ALİ AYTEKİN aaytekin@pau.edu.tr FEN A0311 %
Goals The aim of this lesson is to carry the tpologic structures and their properties to categories.
Content Category, Monomorphism, Epimorphism, Initial and Terminal Object, Functor, Natural Mappings, Functor Category, Limit at Category, Equalizer, Co-equalizer, Limit, Co-limit, Pullback, Pushout, Adverse and Direct Limits, Limit at Functor Category, Universal Mappings, Adjoint Functor.
Topics
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes