Education Information System

Course Title	Code	Semester	L+U Hour	Credits	ECTS
Module Theory II	MAT623		3 + 0	3.0	8.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Graduate
Course Type
Mode of delivery	Lecturing
Course Coordinator	Res. Assist. Zehra İŞBİLİR
Instructor(s)
Assistants
Goals	The aim of this course is to introduce the basic topics in module theory and then to introduce free, projective, injective, prime and multiplicative modules.
Course Content	Module, submodule, cyclic module, complete sequences, free modules, projective modules, injective modules, prime submodules, multiplicative modules
Learning Outcomes	- Students will learn theoretical concepts in mathematics - Students will learn how to read academical journals

Week	Topics	Learning Methods
1. Week	Basic definitions and examples	Preparation, After Class Study Other Activities Course Hours Research
2. Week	Cyclic module, loyal module and examples	Research Other Activities Course Hours Preparation, After Class Study
3. Week	Homomorphism theorems, simple modules	Course Hours Research Other Activities Preparation, After Class Study
4. Week	Direct sums and products	Course Hours Preparation, After Class Study Research Other Activities
5. Week	Exact series	Course Hours Preparation, After Class Study Other Activities Research
6. Week	Free modules	Preparation, After Class Study Research Other Activities Course Hours
7. Week	Free modules and examples	Research Other Activities Course Hours Preparation, After Class Study
8. Week	Midterm
9. Week	Injective module	Other Activities Preparation, After Class Study Research Course Hours
10. Week	Injective module	Research Other Activities Course Hours Preparation, After Class Study
11. Week	Prime submodules	Other Activities Preparation, After Class Study Research Course Hours
12. Week	Multiplicative modules	Course Hours Research Preparation, After Class Study Other Activities
13. Week	Discussion, research and presentations	Research Course Hours Preparation, After Class Study Other Activities
14. Week	Discussion, research and presentations	Preparation, After Class Study Other Activities Research Course Hours

Program Requirements	Contribution Level	DK1	DK2	Measurement Method
PY1	2	0	0	40,60
PY3	2	1	1	40,60

*DK = Course's Contrubution.

	0	1	2	3	4	5
Course's Level of contribution	None	Very Low	Low	Fair	High	Very High
Method of assessment/evaluation		Written exam	Oral Exams	Assignment/Project	Laboratory work	Presentation/Seminar

Event	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm 1	1	2	2
Homework 1	15	2	30
Homework 2	15	2	30
Final	1	2	2
Practice	15	3	45
Practice End-Of-Term	15	3	45
Classroom Activities	15	3	45
Total Workload			199
ECTS Credit of the Course			25.5 8.0