Analytical Geometry 2
Elementary Mathematics Education
Faculty of Education
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Analytical Geometry 2 | IMO206 | Compulsory | Bachelor's degree | 2 | Spring | 4 |
Name of Lecturer(s)
Prof. Dr. Ahmet KÜÇÜK
Assistant Prof. Dr. Cüneyt YAZICI
Learning Outcomes of the Course Unit
1) Define vectors, rectangular coordinate system, cylindrical coodinate system and spherical coodinates in space.
2) Clarify situations of between straight line and plane and equations of straight line and plane in space.
3) Clarify reflection according to straight line and plane in space.
4) Clarify cylinder, conic, surface of revolution and linear, quadrics and their properties.
5) Solve basic problems related to cylinder, conic, surface of revolution and linear.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ||
| Learning Outcomes | ||||||||||||||
| 1 | No relation | High | High | Middle | Middle | Middle | High | High | Middle | Middle | Middle | High | High | |
| 2 | Middle | Middle | Middle | Low | Middle | High | High | High | Middle | Middle | Middle | High | Middle | |
| 3 | Middle | High | Middle | Low | Middle | High | High | Middle | High | Middle | High | Middle | Middle | |
| 4 | Middle | Middle | High | High | High | Middle | Middle | High | Middle | Middle | High | High | High | |
| 5 | High | Low | Middle | Middle | Middle | Low | Middle | Middle | Middle | Low | Low | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
There are no recommended courses.
Course Contents
Vectors in three-dimensional space, straight-line and plane equations, vectoral equations of staight-line and plane and concerning problems, conics in the space, plane and the conic sections.
Weekly Schedule
1) Vectors, rectangular coordinate system in space2) Cylindrical coodinate system and spherical coodinates in space.
3) Equations of straight line in space, situations of between two straight lines in space, distance of point to straight line
4) Equations of plane in space
5) Relations between straight line and plane in space, situations of between two planes
6) Situations of between two straight lines in space, Situations of three plane according to each other
7) Reflection accordintg to plane in space, reflection according to straight line in space
8) Midterm examination/Assessment
9) Surface of sphere
10) Surface of cylinder
11) Surface of conic
12) Surface of revolution and Surface of linear
13) Quadric surfaces in space
14) Quadrics
15) To solve mixed problems
16) Final examination
Recommended or Required Reading
1- Ders notu / Lecture note
2- Balcı, M., Analitik Geometri, Sürat Yayınları, 2012.
3- Edward C.H., Penney, D.E., Matematik Analiz ve Analitik Geometri (translated in 2001).
4- Kaya, A., Düzlem ve Uzay analitik Geometri Kuram ve Sorular (çeviri), 1987.
5- Hacısalioğlu, H.H., İki ve Üç Boyutlu Uzaylarda Analitik Geometri, 2. Baskı, 1985.
6- Kaya, R., Analitik Geometri, 3. Baskı, 1992.
7- kaynak kitaplar
8- resource books
9- ...
10- ...
11- arasınav ve final
12- mid-tern and final exam
Planned Learning Activities and Teaching Methods
1) Question-Answer
2) Discussion
3) Group Study
4) Brain Storming
5) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required