Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | IMO3032013331 | ANALYTICAL GEOMETRY I | Compulsory | 3 | 5 | 5 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
To teach and adopt students the theory and applications of geometry. |
Name of Lecturer(s) |
Yrd.Doç.Dr. Süleyman Şenyurt |
Learning Outcomes |
1 | Students will grasp the theory and practice of geometry. | 2 | | 3 | | 4 | | 5 | |
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Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
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Course Contents |
The straight line equation in space. The plane equation, the relations between the plane and the straight line, distance from a point to a straight line in space, distance from a point to a plane.The sections of a vertical conic and plane. Conics in standard form, introduce of circle, ellipse, hyperbola and parabola. General conic equation, the expressions of conics with the polar coordinate, tangent and secant on conics. Special curves in space.Standard quadratic curves in space, introduce of sphere, ellipsoid, cylinder, cone, elliptic paraboloid, hyperbolic paraboloid. |
Weekly Detailed Course Contents |
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1 | The straight line equation in space
| | | 2 | The plane equation
| | | 3 | The relations between the plane and the straight line
| | | 4 | Distance from a point to a straight line in space
| | | 5 | Distance from a point to a plane | | | 6 | The sections of a vertical conic and plane | | | 7 | Conics in standard form, introduce of circle, ellipse, hyperbola and parabola | | | 8 | Midterm exam | | | 9 | General conic equation | | | 10 | The expressions of conics with the polar coordinate | | | 11 | Tangent and secant on conics.
| | | 12 | Special curves in space.
| | | 13 | Standard quadratic curves in space
| | | 14 | Introduce of sphere, ellipsoid, cylinder
| | | 15 | Introduce of cone, elliptic paraboloid, hyperbolic paraboloid
| | | 16 | Final exam | | |
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Recommended or Required Reading |
1. H. Hilmi Hacsalihoğlu, Analitik Geometri, Ankara Üniversitesi Yayınları, 2000.
2 Gordon Fuller, Dalton Tarwater, Analytic Geometry, Addison – Wesley Publishing Company, 1992.
3 Rüstem Kaya, Analitik Geometri, Anadolu Üniversitesi Basımevi, 1992
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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 | 5 | 70 |
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 | 4 | 4 | 5 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 5 | 4 | 4 | 4 | 3 | LO2 | | | | | | | | | | | | | | | | | LO3 | | | | | | | | | | | | | | | | | LO4 | | | | | | | | | | | | | | | | | LO5 | | | | | | | | | | | | | | | | |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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