Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MT307B | Analytic Geometry-I | Compulsory | 3 | 5 | 4 |
|
Level of Course Unit |
First Cycle |
Objectives of the Course |
To understand the concepts of point, vectors,and lines in 2-D plane. To understand the concepts of point, vectors. To draw related figures in both 2-D and 3-D. To solve analytic geometry problems. |
Name of Lecturer(s) |
Dr. Öğr. Üyesi Tuba AĞIRMAN AYDIN |
Learning Outcomes |
1 | 1. explain the relation with a point and a line in analytical geometry | 2 | 2. explain vectors in a plane | 3 | 3. draw line and related figures in plane and 3-D | 4 | 4. solve problems related lines in plane and 3-D |
|
Mode of Delivery |
Normal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
Coordinates systems for plane and space, point and line relation in analytical geometry, the vectors on a plane, vectors in the space, linear and basic problems, lines on a plane and in 3-D space. Basic problems related to these concepts |
Weekly Detailed Course Contents |
|
1 | Coordinates systems on a plane; cartesian coordinate system, parallel coordinate system, polar coordinate system. | | | 2 | Symmetric points on a plane, points' symmetry according to axises | | | 3 | Coordinates systems in space;cartesian coordinate system, cylindric coordinat system, spherical coordinat system, polar coordinate system | | | 4 | Problem solving exercises about coordinates systems on a plane and in space. | | | 5 | Vectors in plane | | | 6 | Basic operations on vectors | | | 7 | Product of number and vector, dot product | | | 8 | Cosinus Theorem | | | 9 | Mid-term exam | | | 10 | Linear independence, vector base, Vectors in 3-D space | | | 11 | Vectoral product, Mixed product | | | 12 | Lines in plane | | | 13 | Cartesian equation of line, distance between point and line | | | 14 | Paralelism and perpentecularity of two lines, angle between two lines | | | 15 | Plane in 3-D, distance between point and plane | | | 16 | End-of-term exam | | |
|
Recommended or Required Reading |
1. Balcı, M. (2012). Analitik Geometri. Sürat Üniversite Yayınları. İstanbul
2. Karakaş, B. ve Baydaş, Ş. (2008). Analitik Geometri. Palme Yayıncılık Ankara
|
Planned Learning Activities and Teaching Methods |
|
Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 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 | 1 | 1 |
Attending Lectures | 12 | 3 | 36 |
Self Study | 4 | 1 | 4 |
Individual Study for Mid term Examination | 7 | 6 | 42 |
Individual Study for Final Examination | 6 | 6 | 36 |
|
Contribution of Learning Outcomes to Programme Outcomes |
|
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
|
|