| TYPE OF COURSE UNIT | Compulsory Course |
| LEVEL OF COURSE UNIT | Bachelor's Degree |
| YEAR OF STUDY | 2 |
| SEMESTER | Fourth Term (Spring) |
| NUMBER OF ECTS CREDITS ALLOCATED | 5 |
| NAME OF LECTURER(S) | -
|
| LEARNING OUTCOMES OF THE COURSE UNIT |
At the end of this course, the students;
1) Write line and plane equations in space using the given definitions and basic vector operations.
2) Non-centripetal conics in space (circle, ellipse,
write Cartesian and parametric equations of hyperbola, parabola curves using rotational and translational transformations and make applications
3) To be able to write equations of sphere, cylinder and cone surfaces in space and make applications.
|
| MODE OF DELIVERY | Face to face |
| PRE-REQUISITES OF THE COURSE | No |
| RECOMMENDED OPTIONAL PROGRAMME COMPONENT | No |
| COURSE DEFINITION | Orthogonal coordinates in three dimensional space; vectors in space and operations with vectors; lines and planes in space and basic problems related to them; some special surfaces in space (sphere, cylinder, cone, rotational surface) and problems related to them; conics as sections of a double sided cone. |
| COURSE CONTENTS | | WEEK | TOPICS |
|---|
| 1st Week | Coordinate functions in space | | 2nd Week | Vectors in space | | 3rd Week | Line equation in space | | 4th Week | Line equation in space and its applications | | 5th Week | Plane equation in space | | 6th Week | Plane equation in space and its applications | | 7th Week | Translational transformation and its properties | | 8th Week | Midterm exam | | 9th Week | Rotational transformation and its properties | | 10th Week | Writing the equations of non-centered conics | | 11th Week | Sphere surface | | 12th Week | Cylinder surface | | 13th Week | Cone surface | | 14th Week | General review |
|
| RECOMENDED OR REQUIRED READING | Hacisalihoğlu H. H.: 2 ve 3 boyutlu uzaylarda Analitik Geometri
Sabuncuoğlu A. : Analitik Geometri
Balcı M. : Analitik Geometri
Wooton W., Beckenbach E.F., and Fleming F.J., Modern Analytic Geometry |
| PLANNED LEARNING ACTIVITIES AND TEACHING METHODS | Lecture,Questions/Answers |
| ASSESSMENT METHODS AND CRITERIA | | | Quantity | Percentage(%) |
|---|
| Mid-term | 1 | 40 | | Assignment | 1 | 10 | | Total(%) | | 50 | | Contribution of In-term Studies to Overall Grade(%) | | 50 | | Contribution of Final Examination to Overall Grade(%) | | 50 | | Total(%) | | 100 |
|
| ECTS WORKLOAD |
| Activities |
Number |
Hours |
Workload |
| Midterm exam | 1 | 2 | 2 | | Preparation for Quiz | | | | | Individual or group work | 12 | 3 | 36 | | Preparation for Final exam | 1 | 30 | 30 | | Course hours | 14 | 3 | 42 | | Preparation for Midterm exam | 1 | 20 | 20 | | Laboratory (including preparation) | | | | | Final exam | 1 | 2 | 2 | | Homework | 1 | 10 | 10 | | Total Workload | | | 142 |
|---|
| Total Workload / 30 | | | 4,73 |
|---|
| ECTS Credits of the Course | | | 5 |
|---|
|
| LANGUAGE OF INSTRUCTION | Turkish |
| WORK PLACEMENT(S) | No |
| | |
