Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
170300401102ANALYTIC GEOMETRY ICompulsory116
Level of Course Unit
First Cycle
Objectives of the Course
To give the basic concepts related to analytical geometry and to give the equipment to be used in other courses, especially geometry courses
Name of Lecturer(s)
Prof.Dr. Elman HAZAR, Yrd. Doç.Dr. Lokman BİLEN, Yrd. Doç.Dr. Gökçe Dilek KÜÇÜK, Yrd. Doç.Dr. Alkan ÖZKAN
Learning Outcomes
1Interpret the transition from synthetic geometry to analytical geometry
2Define different coordinate systems
3Uses detailed information about vectors
4Show different products about vectors
5Examples of vector algebra
6Calculates the transition from Euclidean, cylindrical, spherical and toroidal coordinate systems.
7Solve drifts and rotations in plane geometry
8Makes vector algebra straight and plane applications in space
9Calculates reflections by a plane and a line
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
none
Recommended Optional Programme Components
none
Course Contents
Vectors, vector spaces, inner product in vectors, inner product spaces, vector and mixed product in 3D space. Coordinate roofs and coordinate systems, affine coordinates, and Euclidean coordinates, cylindrical and spherical coordinate systems, geometries and rotations in the plane, vector algebra, space and plane.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Vectors, plane coordinate system, vector spaces
2Inner product and inner product spaces, Hess form of line
3Inner product space, orthonormal vector systems
4Vector product, mixed product, Lagrange identity
5Change of affine space, affine roof, affine coordinate systems
6Euclidean space, Euclidean roof, cylindrical, spherical and toroidal coordinate systems
7Examples of transition between coordinate systems, exercises
8Shifts and rotations in plane geometry
9Midterm
10Applications of vector algebra in space and plane
11Applications of vector algebra, examples, exercises
12Right-plane relationships, bisector planes, the state of two and three planes
13Plane bundle, straight and straight point of the plane, intersection of two lines
14Reflection on a plane and a line
Recommended or Required Reading
[1]Prof. Dr. H. Hilmi HACISALİHOĞLU,"2 ve 3 Boyutlu uzaylarda Analitik Geometri", altıncı baskı, Ankara, 2003. [2]Prof. Dr. Rüstem Kaya," Analitik Geometri", beşinci baskı, Eskişehir, 2003. [3]Prof.Dr.Arif SABUNCUOĞLU, "analitik Geometri" Nobel Yay. 5. BAskı,2009
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination0100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Turkish
Work Placement(s)
none
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination122
Makeup Examination122
Attending Lectures5630
Problem Solving5630
Individual Study for Homework Problems5630
Individual Study for Mid term Examination13030
Individual Study for Final Examination13030
Homework5525
TOTAL WORKLOAD (hours)180
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
LO13111132221
LO21421311111
LO33151113111
LO41124412211
LO52112321332
LO62112151122
LO71155354111
LO81244443513
LO91333543343
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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