PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 105	ANALYTIC GEOMETRY - I	3 + 2	1st Semester	5

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The aim of this course is to teach basic geometric concepts.
Course Content	Vector Spaces, Inner Product and Inner Product Spaces, Affine Space and Euclid Space, Coordinate Systems, Translations and Rotations on Plane Geometry, Reflection, Line Equations in Two and Three Dimensional Spaces, Plane Equations and Applications in Three Dimensional Spaces.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Uses the detailed informations about the vectors.
2	Shows the various products about the vectors.
3	Gives examples about the applications of the vector algebra.
4	Computes the transitions from the Oklidian, Cylidrical, spherical and toroidal coordinates from one to another.
5	Resolves te shifting and turning on plane geometry.
6	Applies the vector algebra to line and plane on space.
7	Computes the reflections according to a line and plane.
8	Gives examples to plane equations on 3 dimentional space.

COURSE'S CONTRIBUTION TO PROGRAM

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	5	70
Mid-terms	1	20	20
Final examination	1	40	40
Total Work Load ECTS Credit of the Course			130 5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 105	ANALYTIC GEOMETRY - I	3 + 2	1	Turkish	2021-2022 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. CANSEL AYCAN	c_aycan@pau.edu.tr		FEN A0216 FEN A0315	%70

Goals		The aim of this course is to teach basic geometric concepts.
Content		Vector Spaces, Inner Product and Inner Product Spaces, Affine Space and Euclid Space, Coordinate Systems, Translations and Rotations on Plane Geometry, Reflection, Line Equations in Two and Three Dimensional Spaces, Plane Equations and Applications in Three Dimensional Spaces.

Topics

Weeks	Topics
1	Vectors and Vector Spaces
2	Vectorel Construction and Group Property Of Vectorel Spaces
3	Inner Product and Inner Product Spaces
4	Metric Properties Of Reel Spaces
5	Ortonormal Vector Systems
6	Field- Volume, Vector Product, Complex Product
7	Double vectorel product, Applications
8	Coordinat Roof and Coordinate Systems: Afin/Euclid Space, AAfin/Euclid Roof
9	Translations and Rotations On Plane Geometry
10	Midterm Exam
11	Line Equations in 2 and 3 Dimensional Spaces
12	Plane Equations in 3 Dimensional Spaces
13	Plane Equations and Applications in 3 Dimensional Spaces
14	Reflections

Materials

Materials are not specified.

Resources

Resources	Resources Language
Analitik geometri, H.H.Hacısalihoğlu	Türkçe
Analitik Geometri, Mustafa Özdemir	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student