Analytical Geometry 1
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 1 | IMO205 | Compulsory | Bachelor's degree | 2 | Fall | 5 |
Name of Lecturer(s)
Prof. Dr. Ahmet KÜÇÜK
Assistant Prof. Dr. Cüneyt YAZICI
Learning Outcomes of the Course Unit
1) Clarify concepts of affine space, affine frame, affine coordinate system, euclidean space, euclidean frame, euclidean coordinate system, Rectangular coordinate system in plane.
2) Define translations, rotations, reflections in plane
3) Clarify equations of straight line in plane, situation of point to straight line, distance of point to straight line, situations of between two straight lines and make related practices
4) Define concepts of circle, elipse, parabola and hyperbola.
5) Solve basic problems related to circle, elipse, parabola and hyperbola .
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 | Middle | High | Middle | Middle | Middle | High | High | High | Middle | High | High | |
| 2 | High | High | Middle | High | Middle | Middle | Middle | Middle | High | High | High | High | High | |
| 3 | Middle | High | High | High | Middle | Middle | Middle | High | Middle | High | High | High | High | |
| 4 | High | High | Middle | Low | High | High | High | Middle | Low | Low | High | Middle | Middle | |
| 5 | High | High | Middle | High | Middle | Middle | Middle | High | Middle | Middle | Middle | High | Middle | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
There are no recommended courses.
Course Contents
Relation point and straight-line in the plane analitic geometry, vectors in the plane, straight-line and basic problems, circle and basic problems, ellipse and basic problems, hyperbola and basic problems, parabola and basic problems.
Weekly Schedule
1) Vectors in plane2) Affine space, affine frame, affine coordinate system
3) Euclidean space, euclidean frame, euclidean coordinate system
4) Rectangular coordinate system in plane, oblique coordinate system in plane
5) Polar coordinates in plane, translations in plane
6) Rotations in plane, reflections in plane
7) Equations of straight line in plane, situation of point to straight line
8) Midterm examination/Assessment
9) Distance of point to straight line, situations of between two straight lines
10) Circle and basic problems
11) Elipse and basic problems
12) Parabola and basic problems
13) Hyperbola and basic problems
14) Quadric curves and classifications of conics, elements of conics in plane
15) To solve mixed problems
16) Final examination
Recommended or Required Reading
1- Ders notu / Lecture note
2- Kaya, A., Düzlem ve Uzay analitik Geometri Kuram ve Sorular (çeviri), 1987.
3- Hacısalioğlu, H.H., İki ve Üç Boyutlu Uzaylarda Analitik Geometri, 2. Baskı, 1985.
4- Kaya, R., Analitik Geometri, 3. Baskı, 1992.
5- Balcı, M., Analitik Geometri, Süray Yayınları, 2012.
6- Edward C.H., Penney, D.E., Matematik Analiz ve Analitik Geometri (translated in 2001).
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) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Group Study
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