Semester  Course Unit Code  Course Unit Title  L+P  Credit  Number of ECTS Credits 
1  MATH111  ANALYTIC GEOMETRY  3+0  3  5 
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 corequisities

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, AddisonWesley Pub., 1964










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
InTerm Studies

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

Total

3

%
100

ECTS Allocated Based on Student Workload
Activities

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:
No  Learning 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
Week  Topics  Study Materials  Materials 
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
Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant
https://obs.iyte.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=254329&lang=en