COURSE UNIT TITLE

: ANALYTCAL GEOMETRY I

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
OMT 2023 ANALYTCAL GEOMETRY I 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 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   To be able to explain construction of different coordinate systems.
2   To be able to explain analytic plane and analytic space.
3   To be able to explain line, plane, hyperplane in different vector space and to be able to make application of them.
4   To be able to determine the positions between lines and planes.
5   To be able to 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 Introduction of coordinate systems
2 Euclidean, spherical and cylindrical coordinate systems
3 Concepts of analytic plane and analytic space
4 Applications related to topic
5 The concept of line in R3, R4, ,Rn space
6 The concepts of space and hyperspace in R3, R4, ,Rn space
7 Applications related to topic
8 Midterm exam
9 Two lines positions of intersections, parallel and right
10 Two spaces positions of of intersections, parallel and right
11 Positions of line and plane
12 Applications related to topic
13 Shortest distance between skew lines and perpendicular bisector line
14 The symmetry of a point to a line or a space
15 Final exam

Recomended or Required Reading

Sabuncuoğlu A. , Analitik Geometri, Nobel Yayın Dağıtım, Ankara, 2002.
Richard A. Silverman, Çevirenler: Barış Simav, Devrim Simav, Alkım, Calculus ve Analitik Geometri, Kitapçılık Yayıncılık, Istanbul, 1992.

Planned Learning Activities and Teaching Methods

Problem solving, question-answer, expression

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 +FINS * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST* 0.60

Further Notes About Assessment Methods

None

Assessment Criteria

Midterm exam and final exam

Language of Instruction

Turkish

Course Policies and Rules

Seventy percent of the course is obligatory to attend.

Contact Details for the Lecturer(s)

suur.noglu@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
Pre Class Self Study 13 2 26
Preparation for midterm exam 1 12 12
Preparation for final exam 1 20 20
Final 1 1,5 2
Midterm 1 1,5 2
TOTAL WORKLOAD (hours) 101

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.1553
LO.2553
LO.3553
LO.4553
LO.555333