Course Name Code Semester T+U Hours Credit ECTS
Commutative Algebra MAT 608 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Doctorate Degree
Course Type Optional
Course Coordinator Prof.Dr. MEHMET ÖZEN
Course Lecturers
Course Assistants
Course Category
Course Objective To introduce subject of basic abstract algebra.
Course Content Algebraic structures, Commutative structures
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Students will be able to demonstrate facility in dealing with polynomials in one and more variables. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
2 Students will be able to demonstrate understanding of some basic ideal structure of polynomial rings. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
3 Students will be able to demonstrate appreciation of the subtleties of factorisation into prime and irreducible elements. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
4 Students will be able to demonstrate ability to relate polynomials to other algebraic structures. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
5 Students will be able to demonstrate ability to compute generating sets. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
6 Students will be able to demonstrate ability to solve problems relating to the factorisation of polynomials, irreducible polynomials and extension fields. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Rings
2 Ideals
3 Pime and maximal ideals
4 Homomorphism
5 Principal ideals domains
6 Unique factorization domain
7 Factorization over polynomial rings
8 Chain conditions
9 Primary ideals
10 Primary ideals
11 Primary decompositions
12 Artinian rings
13 Noetharian rings
14 Noetharian rings
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 At a master´s degree level, student reaches new knowledge via scientific researches, the use of knowledge of the same field as him/her or of different field from him/her, and the use of knowledge based on the competence in his/her field; s/he interprets the knowledge and prospects for the fields of application. X
1 At a master´s degree level, student reaches new knowledge via scientific researches, the use of knowledge of the same field as him/her or of different field from him/her, and the use of knowledge based on the competence in his/her field; s/he interprets the knowledge and prospects for the fields of application. X
2 Student completes the missing or limited knowledge by using the scientific methods. X
2 Student completes the missing or limited knowledge by using the scientific methods. X
3 Student freely poses a problem of his/her field, develops a solution method, solves the problem, and evaluates the result. X
3 Student freely poses a problem of his/her field, develops a solution method, solves the problem, and evaluates the result. X
4 Student conveys, orally or in writing, his/her studies or the current developments in his/her field to the people in or out of his/her field. X
4 Student conveys, orally or in writing, his/her studies or the current developments in his/her field to the people in or out of his/her field. X
5 Student finds a solution to the unforeseen complex problems in his/her studies by developing new approaches. X
5 Student finds a solution to the unforeseen complex problems in his/her studies by developing new approaches. X
6 At a doctorate degree level, student prepares at least one scientific article of his/her field to be published in an international indexed journal, and s/he extends its popularity. X
6 At a doctorate degree level, student prepares at least one scientific article of his/her field to be published in an international indexed journal, and s/he extends its popularity. X
7 Student analyzes the works that have been published before, approaches the same subjects with different proof methods, or determines the open problems about the current subject matters. X
7 Student analyzes the works that have been published before, approaches the same subjects with different proof methods, or determines the open problems about the current subject matters. X
8 Student looks for the scientists studying on the same field as him/her, and s/he gets in touch with them for a collaborative work. X
8 Student looks for the scientists studying on the same field as him/her, and s/he gets in touch with them for a collaborative work. X
9 Student knows enough foreign language to do a collaborative work with the scientists studying on the same field as him/her abroad. X
9 Student knows enough foreign language to do a collaborative work with the scientists studying on the same field as him/her abroad. X
10 Student follows the necessary technological developments in his/her field, and s/he uses them. X
10 Student follows the necessary technological developments in his/her field, and s/he uses them. X
11 Student looks out for the scientific and ethic values while gathering, interpreting and publishing data. X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
1. Ödev 10
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 20 20
Quiz 2 1 2
Assignment 1 15 15
Final examination 1 25 25
Total Workload 158
Total Workload / 25 (Hours) 6.32
dersAKTSKredisi 6