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

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. Affine space and affine subspace to grasp
2   2. Classify the geometry by means of transformations in Euclidean (Euclidean) space.
3   3. To indicate movements in the Euclidean plane
4   4.To teach similarity and topological transformations, to give examples from daily life.
5   5.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. 11.WEEK:Isomorphic and Homeomorphic Transformations.
2 2.WEEK:Euclidean space. 12.WEEK:Uses of conversions in daily life.
3 3.WEEK:Classification of Geometrinin with Transformations 13.WEEK:Regle Surfaces.
4 4.WEEK:Movements in the Euclidean plane 14.WEEK:Congruences.
5 5.WEEK:Similarity transformations 15.WEEK:Final exam.
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.

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
Tel:02323012335
email:suha.yilmaz@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 3 39
Preparation for final exam 10 2 20
Preparation for midterm exam 10 2 20
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 109

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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