Bayburt University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MT104B	Geometry	Compulsory	1	2	7

Level of Course Unit

First Cycle

Objectives of the Course

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

Name of Lecturer(s)

Yrd.Doç. Dr. Tuba AĞIRMAN AYDIN

Learning Outcomes

1	1. understand the axiomatic structure of mathematics.
2	2. recognize the concept of geometric proof and use it.
3	3. improve the levels of understanding in geometry.
4	4. construct contact with geometric structures and real world.
5	5. aware of different geometries.

Mode of Delivery

Normal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

The definition and structure of geometry; axiomatic structure of geometry Euclidean geometry and non-Euclidean geometries , basic axioms of Euclidean geometry The relationships between the concepts of point, line and plane; the concept of angle, congruence of angles and congruence axioms and theorems (SAS, AAS) and some applications. The definition of polygon and triangle concepts, some kinds of triangle (isosceles and equilateral), basic and second members (angle bisectors, medians and altitudes of triangle) of a triangle, congruency axioms and theorems of triangles, applications of congruency in triangle The similarity theorems in triangle (AAA, SAS, SSS), the applications of similarity Proving some theorems related to Trapezoid, parallelogram, rhombus, rectangle, square and kite Applications of quadrilaterals Geometric constructions The concept of circle, some basic theorems related to angles and chords of the circle Applications of angles and chords properties of circles 3 Dimension (3D) geometry and basic axioms of 3D geometry Some features of objects in 3D geometry, Some applications of area and volume of solids Modern geometry theorems Parabola, ellipse and Hyperbola with conic sections

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Teaching basic geometric concepts of undefined terms.
2	Axioms, theorems on points, lines, planes, angles
3	theorems and axioms on congruence of angles
4	theorems and axioms on congruence of triangles
5	theorems and axioms on similarity of triangles
6	problems related to similarity of triangles
7	theorems on properties of geometric figures in a plane
8	Midterm exam
9	problems on properties of geometric figures in a plane
10	basic theorems used on plane geometry
11	basic theorems on properties of circles
12	some problems on properties of circles
13	point, line and plane concepts in space
14	properties of objects in space, problems on solid figures and their areas and volumes.
15	Final exam
16

Recommended or Required Reading

Hızarcı, S. Kaplan, A., İpek, A.S., Işık, C., Elmas, S. (2009). Düzlem Geometri, Ankara:Palme Yayıncılık. Ergün, N., Demir, H., Aydan, F., Demirtaş, A., Gürdal, M., Metin, E., Özer, A. (1968). Geometri. Ankara: Milli Eğitim Bakanlığı Yayınları

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	1	1
Attending Lectures	14	3	42
Self Study	14	2	28
Individual Study for Mid term Examination	7	6	42
Individual Study for Final Examination	14	7	98
TOTAL WORKLOAD (hours)			212

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1
LO2
LO3
LO4
LO5

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High