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

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