Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program MATHEMATICS
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course This course introduces main concepts of analytic geometry in plane and in spece by algebra of vectors. It allows to introduce main properties of vector space on descriptive geometrical objects.
Course Content Vectors in Plane and in Space. Coordinate systems. Basis Vectors. Inner Product. The Straight Line. Distance between two points. Distance from Point to Line. Circles. Spheres. Planes. Distance from Point to Plane. Angle between two lines. Cross Product. Triple scalar Product. Distance between two lines. Second Order Curves. Conic Sections. Second Order Surfaces. Transformations of Coordinates.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator Prof.Dr. Oğuz Yılmaz
Name of Lecturers Prof.Dr. Oktay Pashaev
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Elementary Vector Geometry by Seymour Schuster, Dover Pub., 2008
Analytic Geometry. A Vector Approach by Charles Wexler, Addison-Wesley Pub., 1964

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 2 % 50
Quizzes 0 % 0
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 1 % 50
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 3 14 42
Outside Activities About Course (Attendance, Presentation, Midterm exam,Final exam, Quiz etc.) 5 14 70
Exams and Exam Preparations 3 14 42
Total Work Load   Number of ECTS Credits 5 154

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 To be able to define conics and draw the graph of conics.
2 To be able to express equations of line in the space.
3 To be able to express equations of planes in the space.
4 To be able to define surfaces.

Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Elementary operations with Vectors. Linear combinations. Linear independence. Uniqueness of representation.
2 Vectors in coordinate systems. Rectangular coordinates. Polar coordinates. Orientation. Basis vectors and applications.
3 Inner products. Properties of Inner product. Formulas. Work.
4 The straight line. Distance from point to line
5 1st Mid Term exam
6 Circles. Spheres
7 Planes. Distance from point to plane
8 The straight line in three dimensions. Angle between two lines. Angle between line and plane.
9 Cross product. Triple scalar product. Distance from point to plane.
10 2nd Mid semestre exam.
11 Distance between two lines. Triple cross product.
12 Conic Sections.
13 Second order surfaces.
14 Transformation of coordinates.

Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14
C1 3 2 1 4 1 3
C2 3 2 2 4 1 3
C3 3 2 1 4 1 3
C4 3 2 1 4 1 3

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant