| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | AE-MT205 | Analytical Geometry | Compulsory | 2 | 3 | 4 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| This course will only face-to-face training. |
| Name of Lecturer(s) |
| Doç.Dr. Tuba AĞIRMAN AYDIN |
| Learning Outcomes |
| 1 | Will be able to establish a relationship between a point and a line in plane analytic geometry. Expresses the relationship between a point and a line in the plane. Will be able to explain vectors in the plane. Expresses the relationship between a point and a line in the plane. Expresses the relationship between a point and a line in the plane. Expresses the relationship between a point and a line in the plane. Expresses the relationship between a point and a line in the plane. Expresses the relationship between a point and a line in the plane. Expresses the relationship between a point and a line in the plane. Will be able to express the truth on the plane with their own words. It defines the truth. Determines the equation of a line given a point and slope. Determines the equation of a line given two points. Will be able to express the circle in the plane with their own words. Defines the circle. Expresses the equation of a circle given its center and radius. Calculates the radius and center of a circle given the equation. Will be able to express the ellipse in their own words in the plane. Defines the ellipse. The foci express the equation of a given ellipse. Calculates the radius and foci of an ellipse given the equation. Will be able to express hyperbola in plane with their own words. Defines hyperbola. Expresses the equation of a hyperbola given its foci and vertices. Determines the asymptotes of the hyperbola. Expresses the symmetry axis of the hyperbola. Will be able to express the parabola in the plane with their own words. Defines the parabola. Determines the equation of a parabola given its focus and directivity. Draws the graphs of the parabolas whose equations are given. |
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| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| There is no prerequisite or co-requisite for this course. |
| Recommended Optional Programme Components |
| There is no prerequisite or co-requisite for this course. |
| Course Contents |
| This course will only face-to-face training. |
| Weekly Detailed Course Contents |
|
| 1 | Upright Coordinate System | | | | 2 |
Vectors in Plane | | | | 3 |
Coordinate Transformations in Plane | | | | 4 |
Translation Transformation | | | | 5 | Rotational Conversion | | | | 6 |
Exercises | | | | 7 | Correct and Basic Problems | | | | 8 | Correct and Basic Problems | | | | 9 |
Circle and Basic Problems | | | | 10 |
Ellipse and Basic Problems | | | | 11 | Hyperbola and Basic Problems | | | | 12 |
Exercises | | | | 13 |
Parabol and Basic Problems | | | | 14 |
Parabol and Basic Problems | | | | 15 | Final exam | | |
|
| Recommended or Required Reading |
| no |
| 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) | | no |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 4 | 5 | 20 |
| Practice | 5 | 1 | 5 |
| Laboratory | 5 | 3 | 15 |
| Problem Solving | 1 | 5 | 5 |
| Report Preparation | 1 | 5 | 5 |
| Role Play/Dramatization | 1 | 4 | 4 |
| Self Study | 5 | 4 | 20 |
| Individual Study for Mid term Examination | 3 | 5 | 15 |
| Individual Study for Final Examination | 5 | 6 | 30 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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