|
Description of Individual Course UnitsCourse Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 170300401102 | ANALYTIC GEOMETRY I | Compulsory | 1 | 1 | 6 |
| Level of Course Unit | First Cycle | Objectives of the Course | To give the basic concepts related to analytical geometry and to give the equipment to be used in other courses, especially geometry courses | Name of Lecturer(s) | Prof.Dr. Elman HAZAR, Yrd. Doç.Dr. Lokman BİLEN, Yrd. Doç.Dr. Gökçe Dilek KÜÇÜK, Yrd. Doç.Dr. Alkan ÖZKAN | Learning Outcomes | 1 | Interpret the transition from synthetic geometry to analytical geometry
| 2 | Define different coordinate systems
| 3 | Uses detailed information about vectors
| 4 | Show different products about vectors
| 5 | Examples of vector algebra
| 6 | Calculates the transition from Euclidean, cylindrical, spherical and toroidal coordinate systems.
| 7 | Solve drifts and rotations in plane geometry
| 8 | Makes vector algebra straight and plane applications in space
| 9 | Calculates reflections by a plane and a line |
| Mode of Delivery | Daytime Class | Prerequisites and co-requisities | none | Recommended Optional Programme Components | none | Course Contents | Vectors, vector spaces, inner product in vectors, inner product spaces, vector and mixed product in 3D space. Coordinate roofs and coordinate systems, affine coordinates, and Euclidean coordinates, cylindrical and spherical coordinate systems, geometries and rotations in the plane, vector algebra, space and plane. | Weekly Detailed Course Contents | |
1 | Vectors, plane coordinate system, vector spaces
| | | 2 | Inner product and inner product spaces, Hess form of line
| | | 3 | Inner product space, orthonormal vector systems
| | | 4 | Vector product, mixed product, Lagrange identity
| | | 5 | Change of affine space, affine roof, affine coordinate systems
| | | 6 | Euclidean space, Euclidean roof, cylindrical, spherical and toroidal coordinate systems
| | | 7 | Examples of transition between coordinate systems, exercises
| | | 8 | Shifts and rotations in plane geometry
| | | 9 | Midterm
| | | 10 | Applications of vector algebra in space and plane
| | | 11 | Applications of vector algebra, examples, exercises
| | | 12 | Right-plane relationships, bisector planes, the state of two and three planes
| | | 13 | Plane bundle, straight and straight point of the plane, intersection of two lines
| | | 14 | Reflection on a plane and a line | | |
| Recommended or Required Reading | [1]Prof. Dr. H. Hilmi HACISALİHOĞLU,"2 ve 3 Boyutlu uzaylarda Analitik Geometri", altıncı baskı, Ankara, 2003.
[2]Prof. Dr. Rüstem Kaya," Analitik Geometri", beşinci baskı, Eskişehir, 2003.
[3]Prof.Dr.Arif SABUNCUOĞLU, "analitik Geometri" Nobel Yay. 5. BAskı,2009 | Planned Learning Activities and Teaching Methods | | Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 0 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | none |
| Workload Calculation | |
Midterm Examination | 1 | 1 | 1 | Final Examination | 1 | 2 | 2 | Makeup Examination | 1 | 2 | 2 | Attending Lectures | 5 | 6 | 30 | Problem Solving | 5 | 6 | 30 | Individual Study for Homework Problems | 5 | 6 | 30 | Individual Study for Mid term Examination | 1 | 30 | 30 | Individual Study for Final Examination | 1 | 30 | 30 | Homework | 5 | 5 | 25 | |
Contribution of Learning Outcomes to Programme Outcomes | LO1 | 3 | 1 | 1 | 1 | 1 | 3 | 2 | 2 | 2 | 1 | LO2 | 1 | 4 | 2 | 1 | 3 | 1 | 1 | 1 | 1 | 1 | LO3 | 3 | 1 | 5 | 1 | 1 | 1 | 3 | 1 | 1 | 1 | LO4 | 1 | 1 | 2 | 4 | 4 | 1 | 2 | 2 | 1 | 1 | LO5 | 2 | 1 | 1 | 2 | 3 | 2 | 1 | 3 | 3 | 2 | LO6 | 2 | 1 | 1 | 2 | 1 | 5 | 1 | 1 | 2 | 2 | LO7 | 1 | 1 | 5 | 5 | 3 | 5 | 4 | 1 | 1 | 1 | LO8 | 1 | 2 | 4 | 4 | 4 | 4 | 3 | 5 | 1 | 3 | LO9 | 1 | 3 | 3 | 3 | 5 | 4 | 3 | 3 | 4 | 3 |
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
|
|
Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
|
|
|