ANALYTIC GEOMETRY I

EMT207

Course Code: EMT207
Semester: Third Term (Fall)
Theory+Practice: 3 + 0
ECTS: 4

Course Type

Compulsory Course

Course Level

Bachelor's Degree

Year of Study

Semester

Third Term (Fall)

ECTS

Name of Lecturer(s)

Professor Şeyda Kılıçoğlu

Learning Outcomes

At the end of this course, the students;

Will be able to write the Cartesian and parametric equations of lines in the plane, centripetal conics (circle, ellipse, hyperbola, parabola curves) using basic vector operations within the given definitions.
Will be able draw graphs of line, circle, ellipse, hyperbola, parabola curves in the plane.
Express and calculate tangents and normals, asymptotic lines, special concepts of centripetal conics.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

Course Description

Number line; Cartesian coordinates in the plane; vectors in the plane; coordinate transformations in the plane; point, line and basic problems related to them; circle and basic problems; conics as geometric places; ellipse and basic problems; hyperbola and basic problems; parabola and basic problems.

Course Contents

WEEK	TOPICS
1^st Week	Basic principles of analytic geometry and cartesian coordinates in the plane
2^nd Week	Vectors and line equations in the plane
3^rd Week	Coordinate transformations in plane
4^th Week	Analytical investigation of line in plane
5^th Week	Circle definition and equation in the plane
6^th Week	Analytical investigation of circles in the plane
7^th Week	Definition and equation of ellipse in plane
8^th Week	Midterm
9^th Week	Analytical investigation of ellipses in the plane
10^th Week	Definition and equation of hyperbola in plane
11^th Week	Analytical investigation of hyperabols in the plane
12^th Week	Definition and equation of parabola in plane
13^th Week	Analytical investigation of parabolas in the plane
14^th Week	Analytical investigation of parabolas in the plane
15^th Week	General review

Recommended or Required Reading

Hacisalihoğlu H. H. 2 ve 3 boyutlu uzaylarda Analitik Geometri
Sabuncuoğlu A. : Analitik Geometri
Balcı Mustafa. : Analitik Geometri
Wooton W., Beckenbach E.F., and Fleming F.J., Modern Analytic
Geometry

Planned Learning Activities and Teaching Methods

Lecture
Questions/Answers

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	40
Assignment	1	10
Total(%)		50
Contribution of In-term Studies to Overall Grade(%)		50
Contribution of Final Examination to Overall Grade(%)		50
Total(%)		100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm exam	1	2	2
Preparation for Quiz
Individual or group work	13	2	26
Preparation for Final exam	1	25	25
Course hours	13	3	39
Preparation for Midterm exam	1	18	18
Laboratory (including preparation)
Final exam	1	2	2
Homework	1	8	8
Total Work Load			120
Total Work Load / 30 (h)			4
ECTS Credit of the Course			4

Language of Instruction

Turkish

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3
K1
K2
K3
K4
K5	X	X	X
K6	X	X	X
K7
K8	X	X	X
K9		X	X
K10	X		X