Ondokuz Mayıs Üniversitesi Bilgi Paketi - Ders Kataloğu

Description of Individual Course Units

Course Unit CodeCourse Unit TitleType of CourseYearSemesterECTS
IMÖ303 Analytical Geometry-I 927001 3 5 5
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)
Doç. Dr. Mustafa BİLİCİ
Learning Outcomes
  1. Student can define concepts of point and line in plane analytic geometry and relations between them.
  2. Student can explain relations between different coordinate systems and do practices in different coordinate systems transitively.
  3. Student can define vectors in a plane and practice planar rotational transformations.
  4. Student can define vectors, concepts of point, line and plane in three-dimensional space.
Mode of Delivery
Formal Education
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Recommended or Required Reading
[1] Analitik Geometri, Prof.Dr. Rustem Kaya,[1] Analitik Geometri Prof.Dr. A.Sabuncuoğlu[2] 2 ve 3 boyutlu uzaylarda analitik geometri, Prof.Dr.H.H.Hacısalihoğlu[3] Uzay Analitik Geometri, Prof. Dr.İbrahim Sezginman, Prof.Dr.Muzaffer Abacı
Planned Learning Activities and Teaching Methods
Language of Instruction
Turkish
Work Placement(s)
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
Week Theoretical Practice Laboratory
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.Linear independence, vector base
10.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.
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight (%)
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight (%)
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Workload Calculation
ActivitiesQuantityTime(hours)Total Workload(hours)
Midterm Examination122
Final Examination133
Attending Lectures14570
Tutorial10550
SUM125