ANALYTIC GEOMETRY II

EMT208

Course Code: EMT208
Semester: Fourth Term (Spring)
Theory+Practice: 3 + 0
ECTS: 4

Course Type

Compulsory Course

Course Level

Bachelor's Degree

Year of Study

Semester

Fourth Term (Spring)

ECTS

Name of Lecturer(s)

Professor Şeyda Kılıçoğlu

Learning Outcomes

At the end of this course, the students;

Will be able to write line and plane equations in space using the given definitions and basic vector operations.
Will be able to write cartesian and parametric equations of non-centred conics (circle, ellipse, hyperbola, parabola curves) using rotational and translational transformations and make applications.
Will be able to write equations of sphere, cylinder and cone surfaces in space and make applications.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

Course Description

Orthogonal coordinates in three dimensional space; vectors in space and operations with vectors; lines and planes in space and basic problems related to them; some special surfaces in space (sphere, cylinder, cone, rotational surface) and problems related to them; conics as sections of a double sided cone.

Course Contents

WEEK	TOPICS
1^st Week	Coordinate functions in space
2^nd Week	Vectors in space
3^rd Week	Line equation in space
4^th Week	Line equation in space and its applications
5^th Week	Plane equation in space
6^th Week	Plane equation in space and its applications
7^th Week	Translational transformation and its properties
8^th Week	Midterm
9^th Week	Rotational transformation and its properties
10^th Week	Writing the equations of non-centered conics
11^th Week	Sphere surface
12^th Week	Cylinder surface
13^th Week	Cone surface
14^th Week	Cone surface
15^th Week	General review

Recommended or Required Reading

Hacisalihoğlu H. H.: 2 ve 3 boyutlu uzaylarda Analitik Geometri
Sabuncuoğlu A. : Analitik Geometri
Balcı M. : 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	3	39
Preparation for Final exam	1	15	15
Course hours	13	3	39
Preparation for Midterm exam	1	13	13
Laboratory (including preparation)
Final exam	1	2	2
Homework	1	10	10
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
K10	X		X