Information Package / Course Catalogue
Basic Concepts in Geometry
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
Objectives of the Course

To provide students to examine all axiomatic nature of geometry and enable them to comprehend the properties of plane figures

Course Content

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

Name of Lecturer(s)