COURSE UNIT TITLE

: TRANSFORMATIONS GEOMETRY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LME 5002 TRANSFORMATIONS GEOMETRY ELECTIVE 2 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR SÜHA YILMAZ

Offered to

Mathematics Teacher Education

Course Objective

The aim of this course is to give information about affine space and affine transformations, to classify geometry by making use of transformations, to teach experimental, projective and topological transformations.

Learning Outcomes of the Course Unit

1   1. To be able to grasp Affine space and affine subspace.
2   2. To be able to classify the geometry by means of transformations in Euclidean (Euclidean) space.
3   3. To be able to indicate movements in the Euclidean plane
4   4.To be able to teach similarity and topological transformations, to give examples from daily life.
5   5. To be able to teach effective and projective transformations and apply daily life.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 1.WEEK:Affine space, affine subspace.
2 2.WEEK:Euclidean space.
3 3.WEEK:Classification of Geometrinin with Transformations
4 4.WEEK:Movements in the Euclidean plane
5 5.WEEK:Similarity transformations
6 6.WEEK:Affine Transformations.
7 7.WEEK:Projection on
8 8.WEEK:Course overview,evaluation,Midterm examination.
9 9.WEEK:Projective plane, projective transformations.
10 10.WEEK:Topological transformations.
11 11.WEEK:Isomorphic and Homeomorphic Transformations.
12 12.WEEK:Uses of conversions in daily life.
13 13.WEEK:Regle Surfaces.
14 14.WEEK:Congruences.
15 15.WEEK:Final exam.

Recomended or Required Reading

O'Neill, B. 1966; Elementary Differential Geometry, Academic Press, New York and London
Gray, A. 1999; Modern Differential Geometry of Curves and Surfaces with Mathematica, CRC Press
Hacısalihoğlu, H.H. 1983; Transformations Geometry, Gazi University, Science-Ed. Faculty Publications,
Hacısalihoğlu, H.H. 1983; Differential Geometry, Inönü University, Science-Ed. Faculty Publications, No: 2,

Planned Learning Activities and Teaching Methods

Lecture, Question-Answer and Homework.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE Midterm Exam
2 DTK Other Activity
3 FN Semester final exam
4 BNS BNS Student examVZ * 0.30 + Student examDTK * 0.10 + FN * 0.60
5 BUT Make- up note
6 BBN End of make-up grade Student examVZ * 0.30 +Student examDTK * 0.10 + BUT * 0.60


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

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)

Prof.Dr.Süha Yılmaz,Hasan Ali Yücel Building,420 Room.
Tel:02323012335
email:suha.yilmaz@deu.edu.tr

Office Hours

Wednesday,16:00.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 2 26
Preparation for final exam 1 15 15
Preparation for midterm exam 1 20 20
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 91

Contribution of Learning Outcomes to Programme Outcomes

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CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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