COURSE UNIT TITLE

: ANALYTIC GEOMETRY I

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LMÖ 2003 ANALYTIC GEOMETRY I COMPULSORY 3 0 0 3

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 explain the concepts of plane analytic plane and analytic space. And to explain the relation between the line and space in so called spaces.

Learning Outcomes of the Course Unit

1   Explain construction of different coordinate systems.
2   Explain analytic plane and analytic space.
3   Explain line, plane, hyperplane in different vector space and to be able to make application of them.
4   Determine the positions between lines and planes.
5   Make applications about line and space.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Bisector plane of two plane Vectors in R2 and R3.
2 Vectoral and mixed product
3 Rotation and transformation in R2
4 Relations of line and plane in R3, direction cosines.
5 Spherical and cylindrical coordinates.
6 Plane equations and draws in R3
7 Distance the plane of the point in R3, shortest distance between skew lines and perpendicular bisector line
8 General review, course evaluation, midterm exam
9 Bisector plane of two plane
10 Plane family, normal equations of plane
11 The concept of circle power, obtaining circumference and area of a circle and applications
12 Space geometry and related concepts and theorems
13 Space geometry and related concepts and theorems
14 Solids and concepts and theorems related to solids
15 Final exam

Recomended or Required Reading

1.Prof Dr Ibrahim Sezginman, Doç.Dr Muzaffer Abacı Analitik Geometri ( Düzlem )
2.Prof.Dr.Salim Yüce, Çözümlü Analitik Geometri Problemleri.
3.Prof.Dr.Muzaffer Kula, Analitik Geometri.
4.Prof.Dr.Rüstem Kaya, Çözümlü Analitik Geometri Problemleri

Planned Learning Activities and Teaching Methods

Problem solving, question-answer, expression.

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 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
Deportment of Science and Mathematics
tel:05057061973
e-mail:suha.yilmaz@deu.edu.tr

Office Hours

It 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 3 39
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 5 5
Preparation for final exam 1 5 5
Midterm 1 1 1
Final 1 1 1
TOTAL WORKLOAD (hours) 77

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.1
LO.2
LO.3
LO.4
LO.534