Information
Code | MATZ205 |
Name | Analytical geometry |
Term | 2023-2024 Academic Year |
Semester | 3. Semester |
Duration (T+A) | 2-0 (T-A) (17 Week) |
ECTS | 4 ECTS |
National Credit | 2 National Credit |
Teaching Language | Türkçe |
Level | Lisans Dersi |
Type | Normal |
Mode of study | Yüz Yüze Öğretim |
Catalog Information Coordinator | Prof. Dr. KAMURAN TARIM |
Course Instructor |
Prof. Dr. ALİ ARSLAN ÖZKURT
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Understanding of the relation between planes and vectors and lines and planes in three-dimensional space and lines and planes
Course Content
Cartesian coordinates in plane and space; Vectors in plane and space; Lines in the plane; Lines and planes in three-dimensional space; Reflections according to line and plane; Point-to-right; Line-planes and planes relationships; Translation and rotation in the plane.
Course Precondition
none
Resources
Kaya, R. (2009). Analitik Geometri. Bilim teknik yayınevi.
Notes
Related digital resources
Course Learning Outcomes
Order | Course Learning Outcomes |
---|---|
LO01 | Explain the cartesian coordinates in the 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 | Understand and draw graphs of plane equations in space. |
LO06 | Explains the relations of 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 | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
2 | Vectors in space | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
3 | Line and plane in three-dimensional space | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
4 | Line and plane in three-dimensional space 2 | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
5 | Cartesian coordinates in plane and space | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
6 | Plane equations and drawings in space | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama |
7 | Reflections according to the line | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
8 | Mid-Term Exam | prep. exam. | Ölçme Yöntemleri: Yazılı Sınav |
9 | The distance of a point in space to a plane | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
10 | Line-planes and planes relationships | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
11 | Line-planes and planes relationships 2 | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
12 | Symmetry of a point in space relative to a line, symmetry of a point relative to a plane | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
13 | Translation in plane | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
14 | Rotation in the plane | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösterip Yaptırma |
15 | General review and question solution | Examining the related sources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Gösterip Yaptırma |
16 | Term Exams | preperation exam | Ölçme Yöntemleri: Yazılı Sınav |
17 | Term Exams | preperation exam | 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 |