Ders Planı

Lesson Information

Course Credit	3.0
Course ECTS Credit	4.0
Teaching Language of Instruction	Türkçe
Level of Course	Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course	Compulsory
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?	Z
Course Coordinator
Instructor (s)
Course Assistant	Prof. Dr. SALİM YÜCE

Purpose and Content

The aim of the course	This course aims to give the fundamental concept of Analytical Geometry, provide the using of this cources subjects first of all in geometry and the other cources,improve mathematical thinking and problem solving techniques,provide under standibility of these knowledge with the applications in life,give the topics of Analytical Geometry and applications and improve analytical thinking and evalution skills.
Course Content	This course covers,perpendicular coordinate system on a plane and a space,line in space and properties,plane in space and properties,line-plane relations, angle bisector planes, the condition of two and three planes,connections of lines on a plane and a space, line equations,coordinate frames and coordinate systems, affine coordinates, polar coordinate systems, equation parametric of curves,conics. circle, circle’s tangent, power of point according to a circle, circle equation of three points, elips, the equation of elips, its tangent, its parametric equation,hyperbol, its equation, its tangent, its asympthots ,parabol, its its equation, its tangent ,translations and rotations on the plane, general second order surfaces on the plane,parallel translating the axis, rotating the axis, general definitions of conic curves,second order surfaces, curves and surfaces in three dimensional space,quadratic surfaces. helix, cycloid, epicycloid,hypocycloid ,cardioid, ellipsoid, hyperboloid, ruled surfaces,cylindrical and spherical coordinate systems.

The aim of the course

This course aims to give the fundamental concept of Analytical Geometry, provide the using of this cources subjects first of all in geometry and the other cources,improve mathematical thinking and problem solving techniques,provide under standibility of these knowledge with the applications in life,give the topics of Analytical Geometry and applications and improve analytical thinking and evalution skills.

Course Content

This course covers,perpendicular coordinate system on a plane and a space,line in space and properties,plane in space and properties,line-plane relations, angle bisector planes, the condition of two and three planes,connections of lines on a plane and a space, line equations,coordinate frames and coordinate systems, affine coordinates, polar coordinate systems, equation parametric of curves,conics. circle, circle’s tangent, power of point according to a circle, circle equation of three points, elips, the equation of elips, its tangent, its parametric equation,hyperbol, its equation, its tangent, its asympthots ,parabol, its its equation, its tangent ,translations and rotations on the plane, general second order surfaces on the plane,parallel translating the axis, rotating the axis, general definitions of conic curves,second order surfaces, curves and surfaces in three dimensional space,quadratic surfaces. helix, cycloid, epicycloid,hypocycloid ,cardioid, ellipsoid, hyperboloid, ruled surfaces,cylindrical and spherical coordinate systems.

Learning Outcomes

Have advanced theoretical and practical knowledge in mathematics and computer science.
Gain an in-depth knowledge on Computer Science including computer programming, word processing, database functions, accessing the internet and softwares.
Possess the knowledge of advanced research methods in mathematics-computer field.
Possess theoretical and practical knowledge in mathematics, computation and computer science.
Define computer programming, word processing, data functions, internete access and software programs.
Describe advanced research methods in the field of Mathematics-Computer Science.
Evaluate and interpret data using the knowledge and skills gained in the fields of mathematics and computer science.
Identify, define and analyze problems in the fields of mathematics and computer science; develop solutions based on research and evidence.
Identify, define and model mathematics, computation and computer science problems; select and apply appropriate analysis and modeling methods for this purpose.
Design and apply interactive experimental environments to get the definitions and first solutions of the problems of computer science and computer science and evaluate these environments.
Having the discipline of mathematics, understand the operating logic of the computer and gain the ability to think based on account.
Perform all phases of life cycle in computer based systems.
Work effectively as an individual and as a team member to solve problems in the areas of mathematics and computer science.
Have the ability to act independently, use initiative and creativity.
Work effectively either individually or in multidisciplinary teams.
Evaluate advanced knowledge and skills in the field with a critical approach.
Follow current developments about the awareness of the necessity of continuous professional development and information and communication technologies.
Have the consciousness of the necessity of lifelong learning and continuously develop professional knowledge and skills.
Use the time effectively in the process of getting the conclusion with analytical thinking ability.
Have at least one foreign language knowledge and the ability to communicate effectively in Turkish, verbally and in writing.
Be aware of the effects of information applications on individual, institutional, social and universal dimensions and have the awareness about entrepreneurship, innovation.
Have the awareness of professional and ethical responsibility and legal consequences of information applications
Use the knowledge about the field for the benefit to society.

Weekly Course Subjects

1	Perpendicular coordinate system on a plane and a space.
2	Line in space and properties.
3	Plane in space and properties,Line-plane relations, the condition of two and three planes.
4	General definitions of conic curves, circle. Circle’s tangent, power of point according to a circle, circle equation of three points.
5	Elips, the equation of elips, its tangent, its parametric equation.
6	Hyperbola, its equation, its tangent, its asympthots and the parametric equation.
7	Parabola and standard equation of it,basic properties, its tangent.
8	Translations and rotations on the plane geometry.
9	Curve in space, few special curves. Standard quadratic surfaces in space.Midterm Exam.
10	Conics with the same foci, confocal parabolas, cycloid, vertex and diagonal at conics.
11	Elements of conics, focus and directrix at conics, curves in space general quadratic equations, pencil of conics, center, diagonal, asymtot.
12	Quadratic forms and Quadratic surfaces, Second order surfaces , epicycloid, hyperboloid.
13	Hyperboloid of two sheets, hyperbolic paraboloid, ruled quadratics.
14	Euclidean space, Euclidean frame, cylindrical , spherical and toroidal coordinate systems.

Resources

1- Mustafa Balcı ,Analitik Geometri, ,Balcı Yayınları,2007.
2 - Arif Sabuncuoğlu,Analitik Geometri, ,Nobel Yayınları,2009.

CLASS 1

CLASS 2

CLASS 3

CLASS 4

Lesson Information

Purpose and Content

Learning Outcomes

Weekly Course Subjects

Resources

ABOUT IAU

COMMITTEE

PUBLICATIONS

MEDIA CENTER