COURSE UNIT TITLE

: FIELD ELC. 1 (NON-EUCLIDEAN GEOMETRY)

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IMÖ 2013 FIELD ELC. 1 (NON-EUCLIDEAN GEOMETRY) ELECTIVE 2 0 0 4

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR BERNA CANTÜRK GÜNHAN

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

To introduce Euclidean geometry and, difference between Euclidean geometry and non- Euclidean geometry

Learning Outcomes of the Course Unit

1   Comprehend difference between Euclidean geometry and Non-Euclidean geometry
2   Explain the basic concepts of projective geometry and to make it s applications
3   Explain the basic concepts of elliptic geometry and to make it s applications
4   Explain the basic concepts of hyperbolic geometry and to make it s applications,To be able to explain the basic concepts of Riemann geometry and to make it s applications
5  

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Euclidean geometry and it s axioms
2 Introducing to Non- Euclidean geometry
3 Basis of Real projective geometry an it s theorems
4 Finding the inverse of the matrix with elementary operations and canonical forms
5 Elliptic geometry
6 Reflections and transitions in Elliptic geometry
7 Applications related to topic
8 Midterm exam
9 Hyperbolic geometry
10 Reflections and transitions in Hyperbolic geometry
11 Applications related to topic
12 Riemann geometry
13 Axioms related to Riemann geometry
14 Afin relations and Riemann relations
15 Final exam

Recomended or Required Reading

1-B.ONeill,Semi-Riemannian Geometry,Academic Press,1983.
2-I,M.Yaglom,A Simple Non-Euclidean Geometry and Its Physical Basis,Springer Verlag,Ne York,1979

Planned Learning Activities and Teaching Methods

Presentation, question and answer, application, group work, homework, software programs used in mathematics education.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Assessment of students is measured by midterm exams, assignments and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Professor Süha Yılmaz
Dokuz Eylül University
Buca Faculty of Education
Department of Science and Mathematics
tel.05057061973
e-mail:suha.yilmaz@deu.edu.tr

Office Hours

Will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 4 52
Preparation for midterm exam 1 10 10
Preparation for final exam 1 15 15
Midterm 1 1 1
Final 1 1 1
TOTAL WORKLOAD (hours) 105

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.1555311111111312
LO.2555311111111312
LO.3555311111111312
LO.4555311111111312
LO.5555311111111312

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

Copyright 2015 DEÜ. BİD

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