
| Course Code | : MTE524 |
| Course Type | : Area Elective |
| Couse Group | : Second Cycle (Master's Degree) |
| Education Language | : Turkish |
| Work Placement | : N/A |
| Theory | : 3 |
| Prt. | : 0 |
| Credit | : 3 |
| Lab | : 0 |
| ECTS | : 8 |
To provide students to examine all axiomatic nature of geometry and enable them to comprehend the properties of plane figures
Definition of geometry, structure of geometry and geometry usage in real life. Explaining the axiom, undefined concept and theorem. Euclidean and non-Euclidean geometries, the basic axioms of Euclidean geometry. The relationships among points, line and plane concepts. The concept of angle, types of angle, equivalence of angle and equivalence axioms, applications related to angles. The definition of the concept of polygon. The definition of triangle, types of triangle, basic and assistant elements of triangle, equivalence axioms and theorems related to triangles, applications related to equivalences in triangles, similarity theorems related to triangles, applications related to similarity in triangles. To prove the theorems of some geometric concepts such as trapezoid, parallelogram, equilateral quadrilateral, rectangle, square, deltoid. Applications related to quadrilaterals. The concept of circle, theorems and proofs related to angle and length in circle, applications related to angle and length in circle. The properties of objects in space, applications related to area and volume of solid objects
| Lec. Serhan ULUSAN |
| 1. | Explain and apply definition of geometry, its structure and geometry usage in real life |
| 2. | Solve problems related definition of triangle concept, kinds of triangles, basic and assistant elements of triangle, equivalence axioms and theorems about triangles, applications related to equivalences in triangles |
| 3. | Solve problems related similar triangles, similarity theorems, applications about similarity on triangles |
| 4. | Express relations between concepts of line, plane and point |
| 5. | Explain concepts of angle, polygon, triangle, disk and their applications |
| 6. | Explain the properties of objects in space, applications related to area and volume of solid objects |
| 1. | Atatürk, M.K. (1937) Geometri, Türk Dil Kurumu Yayınları, Ankara |
| 2. | Stakkestad J.M., Wyant L. (1986) Introduction to Geometry, Academic Press, Orlando |
| 3. | Tapan-Broutin, M.S. (2010) Bilgisayar Etkileşimli Geometri Öğretimi, Ezgi Kitabevi Yayınları |
| Type of Assessment | Count | Percent |
|---|---|---|
| Midterm Examination | 1 | %30 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 2 | 3 | 70 |
| Individual Work | 14 | 0 | 3 | 42 |
| Midterm Examination | 1 | 36 | 2 | 38 |
| Final Examination | 1 | 48 | 2 | 50 |
| TOTAL WORKLOAD (hours) | 200 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | |
OÇ-1 | 4 | 2 | 3 | 2 | 3 | 1 | 1 | ||||||
OÇ-2 | 3 | 1 | 1 | 3 | 2 | 1 | 1 | ||||||
OÇ-3 | 2 | 1 | 2 | 3 | 1 | 1 | 1 | ||||||
OÇ-4 | 2 | 1 | 1 | 4 | 1 | 1 | 1 | ||||||
OÇ-5 | 2 | 2 | 1 | 2 | 2 | 1 | 1 | ||||||
OÇ-6 | 3 | 2 | 1 | 3 | 3 | 1 | 1 | ||||||