Bayburt University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MT410.3B	Teaching Field Information	Elective	4	8	6

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)

Dr. Öğr. Üyesi Tuba AĞIRMAN AYDIN

Learning Outcomes

1	1. explain the relation with a point and a line in analytical geometry
2	2. explain vectors in a plane
3	3. draw line and related figures in plane and 3-D
4	4. solve problems related lines in plane and 3-D

Mode of Delivery

Normal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

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	Mid-term exam
10	Linear independence, vector base, 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
15	Plane in 3-D, distance between point and plane
16	End-of-term exam

Recommended or Required Reading

1. Balcı, M. (2012). Analitik Geometri. Sürat Üniversite Yayınları. İstanbul 2. Karakaş, B. ve Baydaş, Ş. (2008). Analitik Geometri. Palme Yayıncılık Ankara

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Turkish

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	2	2
Attending Lectures	14	3	42
Self Study	14	5	70
Individual Study for Mid term Examination	7	7	49
Individual Study for Final Examination	2	8	16
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
LO1
LO2
LO3
LO4

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High