| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Analytic Geometry | FEF225 | Elective | Bachelor's degree | 2 | Fall | 4 |
Name of Lecturer(s)
Prof. Dr. Serdal PAMUK
Associate Prof. Dr. Sezgin BÜYÜKKÜTÜK
Associate Prof. Dr. Oktay CEBECİOĞLU
Associate Prof. Dr. İlim KİŞİ
Associate Prof. Dr. Sibel KOPARAL
Research Assistant Ebru AYDOĞDU
Learning Outcomes of the Course Unit
1) Calculate translation and rotation in plane geometry.
2) Explain the equation of the straight line in plane.
3) Classify the curves in plane.
4) Calculate the equations of circle, elipse, hiperbola and parabola.
5) Calculate the equation of the straight line and the plane in space.
6) Recognize the surfaces of the second order.
7) Explain the transformation of equations of surfaces to canonical form.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | ||
| Learning Outcomes | ||||||||||||
| 1 | High | High | High | High | High | High | High | High | High | High | High | |
| 2 | High | High | High | High | High | High | High | High | High | High | High | |
| 3 | High | High | High | High | High | High | High | High | High | High | High | |
| 4 | High | High | High | High | High | High | High | High | High | High | High | |
| 5 | High | High | High | High | High | High | High | High | High | High | High | |
| 6 | High | High | High | High | High | High | High | High | High | High | High | |
| 7 | High | High | High | High | High | High | High | High | High | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Linear Algebra
Course Contents
Cartesian and polar coordinates in plane. Translation and rotation in plane geometry. Equation of the straight line in plane. Classification of curves in plane. Transformation of equations of curves to canonical form. Equations of circle, elipse, hiperbola and parabola. Cartesian, cylindirical and spherical coordinates in space. Translation and rotation in space geometry. Equation of the straight line in space. Equation of the plane in space. Relation between line and plane in space. Surfaces of the second order. Classification of surfaces. Transformation of equations of surfaces to canonical form.
Weekly Schedule
1) Coordinates on Plane2) Coordinate Systems
3) Staight lines on Plane
4) Curves
5) Vectors on 3-Dimensional Euclidean Space
6) Coordinate Systems in Euclidean Space
7) Lines and Planes in Euclidean Space
8) Quadratic Surfaces
9) Sphere
10) Bbb
11) Ddd
12) Ggg
13) Jjj
14) Def
15) Jkl
16) Hgf
Recommended or Required Reading
11- Mustafa Balcı-Analitik Geometri
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Self 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