COURSE UNIT TITLE

: GEOMETRY

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
OMT 3014 GEOMETRY COMPULSORY 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR ŞUUR NIZAMOĞLU

Offered to

Mathematics Teacher Education

Course Objective

To introduce matrix, determinant, linear transitions and relations between matrix, solutions of system of equations and feature vector.

Learning Outcomes of the Course Unit

1   To be able to comprehend axiomatic structure of geometry
2   To be able to know and apply types of proofs in geometry
3   To be able to take notice different approaches and their relations in geometry
4   To be able to develop level of the understanding geometry
5   To be able to make relation between geometry and daily life

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Axiomatic structure of geometry and Euclidean Geometry
2 Equality of triangles, equality axioms and theorems
3 Similarities of triangles and essential similarity theorems
4 Proof of some theorems by using different approaches: Pythagorous' theorem, angle bisector theorem, median theorem, Menelaus, Ceva and Stewart theorem
5 Gaining triangular region s area with different ways, Heron formula, Gaining triangular region s area with incircles and inscribed circles
6 Geometrical concepts such as square, rectangle, trapezoid, rhombus, deltoid and doing proofs relating to them with different approaches
7 Applications related to topic
8 Midterm exam
9 Concept of circle, theorems about angle and length in circle and their proofs with different approaches
10 Some of the particular points of triangle: Fermat and Nagel points. Some of the modern geometry theorems: Euler line, Simpson line, Morley theorem, Napolyon triangle
11 Transitions, parallel displacement, rotation, symmetry and homothety
12 Embellishing and types of it, application of it
13 Space geometry and related concepts and theorems
14 Solids and concepts and theorems related to solids
15 Final exam

Recomended or Required Reading

Coxeter, H.S.M. 1989; Introduction to geometry, Wiley Publishing, San Francisco.
Coxeter, H.S.M., Graitzer, S. 1989; Geometry revisited, The Mathematical Association of America, Washington.
Posamentier, A.S. 2002; Advanced Euclidean geometry, Key College, Florida.

Planned Learning Activities and Teaching Methods

Discussion, question-answer, group working

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 STT TERM WORK (SEMESTER)
3 FINS FINAL EXAM
4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + STT * 0.10 + FINS * 0.60
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

ayten.ceylan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 10 10
Preparation for final exam 1 15 15
Preparing assignments 3 5 15
Final 1 1,5 2
Midterm 1 1,5 2
TOTAL WORKLOAD (hours) 109

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.155222
LO.255222
LO.355222
LO.455222
LO.5555222