Course Name Code Semester T+U Hours Credit ECTS
Ring Theory MAT 542 0 3 + 0 3 6
 Precondition Courses Recommended Optional Courses Course Language Turkish Course Level yuksek_lisans Course Type Compulsory Course Coordinator Prof.Dr. REFİK KESKİN Course Lecturers Prof.Dr. REFİK KESKİN, Course Assistants Course Category Course Objective To introduce subject of base abstract algebra Course Content Algebraic structure, Rings
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Students will be able to demonstrate knowledge of the syllabus material. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
2 Students will be able to write precise and accurate mathematical definitions of objects in ring theory. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
3 Students will be able to use mathematical definitions to identify and construct examples and to distinguish examples fro non-examples. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
4 Students will be able to validate and critically assess a mathematical proof. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
5 Students will be able to use a combination of theoretical knowledge and independent thinking to investigate questions in ring theory and to construct proofs. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
6 Students will be able to write about ring theory in a coherent, grammatically correct and technically accurate manner. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Basic concepts
2 Rings
3 Subring
4 Ideals
5 Quotient ring
6 Homomorphism
7 Fraction rings
8 Polynomial rings
9 Arithmetic in rings
10 Euclidean domain
11 Unique factorization domains
12 Prime and maximal ideals
13 Local and noetherian rings
14 Finite fields, finite rings
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
2 Student follows the current journals in his/her field and puts forward problems. X
2 Student follows the current journals in his/her field and puts forward problems. X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
6 Student determines the problems to be solved within his/her field and if necessary takes the lead.
6 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field.
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. X
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. X
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level.
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
11 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. X
Evaluation System
Semester Studies Contribution Rate
1. Ödev 100
Total 100
1. Yıl İçinin Başarıya 40
1. Final 60
Total 100