Course Name Code Semester T+U Hours Credit ECTS
Introduction To Algebra IME 309 5 3 + 1 4 7
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Dr.Öğr.Üyesi ERCAN MASAL
Course Lecturers Dr.Öğr.Üyesi ERCAN MASAL,
Course Assistants Res.Assist.Mithat TAKUNYACI
Course Category Available Basic Education in the Field
Course Objective To give detailed information to students of elementary education about binary operations which are on many fields of mathematics. To introduce algebraic structure as group, subgroup, ring, subring, ideal which set up a theoretical substructure of especially linear algebra by the help of binary operations and give main group, varieties of subgroup
Course Content Binary operations, definition of group, subgroups, permutation groups, homomorphism, cyclic groups, residue classes, normal subgroups, quotient groups, definition of ring, subrings, ideals.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Explain detailed information about binary operations, show properties of a given operatione Lecture, Drilland Practice, Testing, Homework,
2 Define subgroup and theorems related subgroup and apply them to problems. Lecture, Drilland Practice, Testing, Homework,
3 Explain the definition of rank of a element and solve the problems related rank. Lecture, Drilland Practice, Testing, Homework,
4 Explain theorem of normal subgroup and demonstrate a subgroup is whether normal subgroup or not. Lecture, Drilland Practice, Testing, Homework,
5 Explain definition of group homeomorphism, express theorem of isomorphism. Demonstrate core of a homeomorphism. Solve the problems related homeomorphism Lecture, Drilland Practice, Testing, Homework,
6 Express the concept of ring, demonstrate that algebraic structure is whether ring or not Lecture, Drilland Practice, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Binary operation and concept of group
2 Examples of group
3 Theorems of subgroup and their applications
4 Cyclic groups and their applications
5 Rank of a element and its applications, dihedral group
6 Residue class, Lagrange Theorem and quotient group
7 Normal subgroups and their applications
8 Group homeomorphism and theores of isomorphism
9 Mid – Term Exam
10 Applications of homeomorphism
11 Permutation groups
12 Ring and its applications
13 Subring and ideals
14 Ring homeomorphism
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Have general information about basic concept, theory and applicaitons on mathematics X
2 Have ability of mathematical thinking and apply to real life X
3 Classify a problem systematically also create comprehensible, understandable and objective solutions X
4 Establish relationship among events looked different X
5 Get clear and exact ideas about relationships among time, place and numbers X
6 Use principles of scientific method on problem solving X
7 Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed X
8 Think creative and critical X
9 Improve methods as fast, understandable and practical to faced problems X
10 Have information about national and international modern problems
11 Get life long learning behaviour
12 Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System
13 Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers.
14 Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment.
15 Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 60
1. Kısa Sınav 15
1. Ödev 10
2. Kısa Sınav 15
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 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 10 10
Quiz 2 3 6
Assignment 1 20 20
Performance Task (Laboratory) 1 30 30
Total Workload 178
Total Workload / 25 (Hours) 7.12
dersAKTSKredisi 7