To give basic concepts of Analytic Geometry such as vector, line, plane, conics and surfaces as a background for advanced math courses.
Prerequisite(s)
None
Corequisite(s)
None
Special Requisite(s)
None
Instructor(s)
Professor R. Tunç MISIRLIOĞLU
Course Assistant(s)
Res.Asst. Ayşe Nur Altunsoy
Schedule
Monday 15:00-17:00, Friday 11:00-13:00
Office Hour(s)
Prof. Dr. Tunç Mısırlıoğlu,Monday 11:00-13:00, IKU-CATS
Res.Asst. Ayşe Nur Altunsoy, Monday 13:00-15:00 IKU-CATS
Teaching Methods and Techniques
Lecture, practice, discussion.
Principle Sources
Prof. Dr. Bülent Karakaş, Doç. Dr. Şenay Baydaş, Matlab Uygulamalı Analitik Geometri, Palme Yayınları, 2019.
Other Sources
Course Schedules
Week
Contents
Learning Methods
1. Week
Coordinates and Coordinate Systems
Oral and written presentation
2. Week
Vectors and Operations
Oral and written presentation
3. Week
Translation Movement, Rotation Movement, Translation-Rotation and Rotation-Translation Movements in Perpendicular Coordinates
Oral and written presentation
4. Week
Skew Transformations, Conversions Between Inclined Coordinate Systems
Oral and written presentation
5. Week
Reflection Motion on Plane, Reflection on the Point, Reflection on the Plane
Oral and written presentation
6. Week
Rectangular Coordinate System and Rectangular Coordinates, Cylindrical Coordinate System and Cylindrical Coordinates
Oral and written presentation
7. Week
Spherical Coordinate System and Spherical Coordinates, Polar Coordinate System and Polar Coordinates
Oral and written presentation
8. Week
Analytical Study of the Line in Space, Analytical Study of the Plane in Space
Oral and written presentation
9. Week
Midterm Exam
Written
10. Week
Examining Conics with Standard Equations, Circle, Ellipse
Oral and written presentation
11. Week
Hyperbola, Parabola
Oral and written presentation
12. Week
Conics with General Equations
Oral and written presentation
13. Week
Conics with General Equations
Oral and written presentation
14. Week
Elements of a Cone
Oral and written presentation
15. Week
Final Examinations
Written
16. Week
Final Examinations
Written
17. Week
Final Examinations
Written
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Final Exam
1
60
Program Outcomes
PO-1
Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2
Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3
Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4
Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5
Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6
Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7
Using time effectively in inventing solutions by implementing analytical thinking.
PO-8
Understanding professional ethics and responsibilities.
PO-9
Having the ability to behave independently, to take initiative, and to be creative.
PO-10
Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11
Using professional knowledge for the benefit of the society.
Learning Outcomes
LO-1
By the end of this course, students should be able to:
Know Cartesian Coordinates in the Plane and Space
LO-2
Learn concept of Vector in 2-Space and 3-Space and solve some problems by using vectors
LO-3
Transform Coordinates in the plane, Rotate and Translate the coordinate axes.
LO-4
Identify and Plot Curves of the Second Degree in the Plane
LO-5
Write the conditions for the parallelism and Perpendicularity of two Straight Lines.
Write the equation of a pencil of lines.
LO-6
Write the equation of the plane passing through a given point and having a given normal vector.
Find the distance of a point from a plane.
Write the equation of a pencil of planes.
