MATZ214 Analytical Geometry

4 ECTS - 3-0 Duration (T+A)- 4. Semester- 3 National Credit

Information

Code MATZ214
Name Analytical Geometry
Term 2024-2025 Academic Year
Semester 4. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 4 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Belirsiz
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. AYTEN PINAR BAL
Course Instructor
1


Course Goal / Objective

Cartesian coordinates, vectors and lines in the plane and space, planes and lines in three-dimensional space and the relationship between planes and lines.

Course Content

In this course, the Cartesian coordinate system in plane and space will be introduced and the properties of vectors in plane and space will be discussed. Lines in the plane, lines and planes in three-dimensional space, and reflections between lines and planes will be examined. The relations between point-line, line-plane and planes will be detailed; also, translational and rotational motions in the plane will be emphasized.

Course Precondition

none

Resources

Kaya, R. (2009). Analytic Geometry. Bilim teknik publishing house.

Notes

Related digital resources


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Explains cartesian coordinates in plane and space.
LO02 Defines vector and line in plane and space.
LO03 Learn the concepts of rotation and translation in plane geometry.
LO04 Learns the plane in three dimensional space.
LO05 draws graphs of plane equations in space.
LO06 Explains the relationships between lines and planes in three-dimensional space.
LO07 Explains reflection, translation and rotation in the plane.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Has enough knowledge about mathematics. 5
PLO02 Bilgi - Kuramsal, Olgusal Has pedagogical knowledge about teaching profession and field.
PLO03 Bilgi - Kuramsal, Olgusal Implements classroom management approaches to be used in educational environments effectively.
PLO04 Bilgi - Kuramsal, Olgusal Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels.
PLO05 Bilgi - Kuramsal, Olgusal Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life.
PLO06 Bilgi - Kuramsal, Olgusal Uses Turkish properly and effectively according to the rules.
PLO07 Bilgi - Kuramsal, Olgusal Selects and designs appropriate materials, in mathematics teaching.
PLO08 Bilgi - Kuramsal, Olgusal Monitors students' progress using different assessment and evaluation methods and techniques.
PLO09 Bilgi - Kuramsal, Olgusal Takes responsibility as an individual and as a team member to solve problems related to the field. 2
PLO10 Beceriler - Bilişsel, Uygulamalı Has life-long learning awareness.
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people.
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Uses information and communication technologies and other related materials for an effective mathematics teaching. 1
PLO13 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Has enough foreign language knowledge to follow foreign resources related to the field.
PLO14 Yetkinlikler - Öğrenme Yetkinliği Has the knowledge of the purpose, structure and functioning of the Turkish education system.
PLO15 Yetkinlikler - Öğrenme Yetkinliği Becomes a teacher who adheres to Atatürk's principles and revolutions.


Week Plan

Week Topic Preparation Methods
1 Vectors in the plane Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
2 Vectors in space Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
3 Line and plane in three dimensional space Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
4 Line and plane in three-dimensional space 2 Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
5 Cartesian coordinates in plane and space Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
6 Plane equations and drawings in space Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
7 Reflections according to the truth Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
8 Mid-Term Exam exam preparation Ölçme Yöntemleri:
Yazılı Sınav
9 The distance of a point in space from a plane Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
10 Relations between line-plane and planes Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
11 Relations between line-plane and planes 2 Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
12 Symmetry of a point in space with respect to a line, symmetry of a point with respect to a plane Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
13 Translation in plane Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
14 Rotation in plane Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
15 General review and question solution Examination of related resources Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösterip Yaptırma
16 Term Exams exam preparation Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams exam preparation Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 2 28
Out of Class Study (Preliminary Work, Practice) 14 2 28
Assesment Related Works
Homeworks, Projects, Others 1 0 0
Mid-term Exams (Written, Oral, etc.) 1 8 8
Final Exam 1 24 24
Total Workload (Hour) 88
Total Workload / 25 (h) 3,52
ECTS 4 ECTS

Update Time: 14.11.2024 08:16