Faculty of Education · Secondary School Mathematics Education · Undergraduate
Course Objective
This course aims to gain mathematical and abstract thinking skills; to teach the difference between axiom and theorem and mathematical proof techniques.
Course Content
Explanation of axiom and theorem. Explanation of direct and indirect mathematical proof methods. Axioms and theorems related to symbolic logic, symbolic logic related applications. Universal and existential quantifiers, explanation of the concept of set, operations related to the set concept. Cartesian product set and graphic drawing, relation concept and properties, relation types, equivalence and order relations, properties of these relations. Construction of numbers with the help of equivalence classes. Concept of function, including, covering, one-to-one, fixed, unit functions, the combination of functions, functions related to inverse functions and functions. The concept of force in sets, finite and infinite sets.
Course Learning Outcomes
- Ability to use abstract thinking skills.
- To be able to use mathematics knowledge in other disciplines.
- Comprehend the properties of propositions and sets
- To be able to explain the basic concepts of functions and relations.
- To be able to follow current and contemporary developments in the profession.
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 16 | 2 | 32 |
| Out of Class Study Period | 14 | 6 | 84 |
| Midterm | 1 | 5 | 5 |
| Quiz | 0 | 0 | 0 |
| Assignment | 0 | 0 | 0 |
| Practice | 0 | 0 | 0 |
| Final | 1 | 7 | 7 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | Propositions and algebra of propositions | Solve the questions given in the course. |
| 2 | Proof techniquesAlgebra of propositions -Problem Solving | Review of previous subjects |
| 3 | Sets and algebra of sets | solve the questions given in the course |
| 4 | Cluster sets, partition of cluster sets, product sets | review of the former lesson |
| 5 | Relations, inverse of the relationship, combination of relations, equivalence relations and equivalence classes, ordered relations | To do research on the related subject |
| 6 | Partial ordered relation and ordered relation | To do research on the related subject |
| 7 | Functions, bijective functions, combination of functions | solve the questions given in the course |
| 8 | Midterm | Midterm |
| 9 | Ramadan Mubarak | Ramadan Mubarak |
| 10 | Operations | To do research on the subject |
| 11 | solve the questions given in the course | |
| 12 | Operations | review related research |
| 13 | Cardinality of the sets, Postulats for integers | To do research on the related subject |
| 14 | Cardinality of the sets, Postulats for integers | To do research for the subject |
| 15 | Divisibility | work on related topic |
| 16 | final | final |