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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS LME 2006 ANALYTIC GEOMETRY 2 COMPULSORY 2 0 0 3

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR SÜHA YILMAZ

Offered to

Mathematics Teacher Education

Course Objective

To introduce the geometry of plane geometry and to examine the relations between them. To learn the properties and types of conics and to teach them how to draw graphs by taking conics with general equations. To examine some surfaces (spheres, cylinders and cones).

Learning Outcomes of the Course Unit

1   1. Learns conics in drawing and learns drawings. 2   2. Understand the conics by their general equations and find their equations. 3   3. Identify and classify the species. 4   4.Learn some surface properties and make drawings. 5   5. Understand surface surfaces.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 1.WEEK:Definition of the circle, circle and line, parametric equation of the circle, pole of the circle 11.WEEK:Elements of the cones (center, diameter, axis, asymptotes). 2 2.WEEK:Equation of tangents drawn from a point on and off the bevel. 12.WEEK:Elements of cones (focus, eccentricity, hilltop, direction). 3 3.WEEK:Definition and properties of ellipses, ellipse and line, ellipsoid parametric equation, equation of tangents drawn from a point on and off the ellipse. 13.WEEK:Some surfaces (Sphere, cone and cylinder). 4 4.WEEK:Hemodial ellipses, ellipsoid diameter (diagonal). 14.WEEK:Rotating surfaces. 5 5.WEEK: 5th Movement: Definition and properties of hyperbola, hyperbolic and true, hyperbolic asymptotes, hyperbolic parametric equations, equation of tangents drawn from a point on hyperbola. 15.WEEK:Final exam. 6 6.WEEK:Hyperbolic diagonal, application. 7 7.WEEK:Parabola. 8 8.WEEK:Course overview,evaluation,Midterm examination. 9 9.WEEK:Conics by their general equations, properties of conics, degenerate conics, sizes that determine the type of conics. 10 10.WEEK:Classification of conics is to standardize and draw the equation of conics.

Recomended or Required Reading

Prof Dr Ibrahim Sezginman, Analytic Geometry. Prof.Dr.Muzaffer Abacı Analytic Geometry (Plane). Prof.Dr.H.H.Hacısalihoğlu, Analytical Geometry. Prof.Dr.Rustem Kaya, Analytical Geometry Problems.

Planned Learning Activities and Teaching Methods

Lecture, question-answer.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 VZ Midterm 2 FN Semester final exam 3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60 4 BUT Make-up note 5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60 *** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

The evaluation of the students is measured by midterm and final exams in the direction of learning outputs.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Prof.Dr.Süha Yılmaz Tel:023230123335 email: suha.yilmaz@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Practice (Reflection) 6 2 12 Lectures 6 2 12 Preparations before/after weekly lectures 12 2 24 Preparation for midterm exam 10 1 10 Preparation for final exam 20 1 20 Final 1 1 1 Midterm 1 1 1 TOTAL WORKLOAD (hours) 80

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 PO.14 PO.15 PO.16 PO.17 PO.18 LO.1 5 4 3 3 2 3 LO.2 5 4 3 3 2 3 LO.3 5 4 3 3 2 3 LO.4 5 4 3 3 2 3 LO.5 5 4 3 3 2 3