Abstract Mathematics
Elementary Mathematics Education
Faculty of Education
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Abstract Mathematics | IMO103 | Compulsory | Bachelor's degree | 1 | Fall | 4 |
Name of Lecturer(s)
Assistant Prof. Dr. Ayşe Arzu ARI
Learning Outcomes of the Course Unit
1) Defines axioms, theorems, propositions,auxiliary propositions and consepts
2) Applies direct and indirect proof methods.
3) Solves exercises on symbolic logic.
4) Solve the exercises related to the cluster concept.
5) Relations solve relations of relation types and properties of relation
6) Explains the concepts of force and endlessand infinite sets in clusters
7) Solve exercises related to concept and typesof function
8) Explains the Peano Axioms and theconstruction of natural numbers.
9) Describe the features of the collection processin natural numbers.
10) Explain the properties of multiplication innatural numbers.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ||
| Learning Outcomes | ||||||||||||||
| 1 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 2 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 3 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 4 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 5 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 6 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 7 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 8 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 9 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
| 10 | High | High | High | High | High | High | High | High | High | High | High | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
yok
Course Contents
Symbolic logic and evidence techniques; clusters, clusters, clusters, clusters, clusters ofclusters, product clusters; relations, reciprocal of conjugation, conjugation of relations,equivalence relations and equivalence classes, sort relations; partial ordered set, fullordered set; functions, individual and overlapping functions, composition of functions,inverse of functions, permutations, operations
Weekly Schedule
1) Logic2) Logic
3) Proof Methods
4) Proof Methods
5) Sets
6) Sets
7) Cartesian product, sequential bilateral, correlation concepts
8) Midterm examination/Assessment
9) Property of relations, inverse correlation, equivalence relation, ordering relation
10) Property of relations, inverse correlation, equivalence relation, ordering relation
11) Property of relations, inverse correlation, equivalence relation, ordering relation
12) Function: Function definition, characteristics
13) Function: Function definition, characteristics
14) Function types, inverse function, a combination of functions
15) Function types, inverse function, a combination of functions
16) Final examination
Recommended or Required Reading
1- Soyut Matematik
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required