Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAEZ2052018331 | ANALYTIC GEOMETRY | Compulsory | 2 | 3 | 4 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
To teach the basic theory and applications of plane and space geometry. |
Name of Lecturer(s) |
Doç. Dr. Cemal Belen |
Learning Outcomes |
1 | Defines the cartesian coordinates in plane and space | 2 | Describes the concept of vector in plane and space, learns the properties of vector and operations on vectors. | 3 | Learns the equations of line and plane in space. | 4 | States the relative positions of straight line and plane and also two planes. | 5 | Learns the transformations of coordinates in plane. |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
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Course Contents |
Cartesian coordinates in plane and space, Vectors in space and plane, Lines in plane, Lines and planes in space, Symmetries with respect to line and plane, Relations of point-line, line-plane, plane-plane, Translations and rotations in plane |
Weekly Detailed Course Contents |
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1 | Cartesian coordinates in plane
| | | 2 | Straight lines in plane | | | 3 | Parallel and polar coordinates in plane | | | 4 | Cartesian coordinates in space | | | 5 | Vectors in plane and space, Operations on vectors | | | 6 | Dot product of vectors | | | 7 | Cross product of vectors, Triple scalar product | | | 8 | Midterm exam | | | 9 | Equation of a staright line in space | | | 10 | Relations of point-line and line-line in space | | | 11 | Equations of plane in space | | | 12 | Relative positions of a staright line and plane, two or three planes in space | | | 13 | Symmetries of line and plane
| | | 14 | Translation and rotation in plane | | |
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Recommended or Required Reading |
(1)Rüstem Kaya, Analitik Geometri, Bilim Teknik Yayınevi, 2009.
(2) Salim Yüce, Analitik Geometri, Pegem Akademi Yayıncılık, 2017.
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Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
SUM | 0 | |
SUM | 0 | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | None |
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Workload Calculation |
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Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 2 | 28 |
Self Study | 14 | 3 | 42 |
Individual Study for Homework Problems | 10 | 2 | 20 |
Individual Study for Mid term Examination | 1 | 10 | 10 |
Individual Study for Final Examination | 1 | 13 | 13 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 3 | 4 | 3 | 5 | 4 | 5 | 4 | 5 | 4 | 3 | 4 | 5 | 4 | 4 | 4 | 3 | LO2 | 4 | 4 | 3 | 3 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 4 | 1 | 2 | 4 | 3 | LO3 | 4 | 4 | 3 | 3 | 4 | 5 | 4 | 5 | 4 | 2 | 3 | 4 | 3 | 4 | 5 | 3 | LO4 | 4 | 4 | 3 | 3 | 4 | 5 | 4 | 5 | 4 | 5 | 3 | 4 | 2 | 4 | 5 | 3 | LO5 | 4 | 4 | 4 | 3 | 4 | 5 | 4 | 5 | 4 | 3 | 5 | 4 | 2 | 4 | 2 | 4 |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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