COURSE UNIT TITLE

: ANALYTIC GEOMETRY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 1035 ANALYTIC GEOMETRY COMPULSORY 4 0 0 7

Offered By

Mathematics (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ILHAN KARAKILIÇ

Offered to

Mathematics (English)
Mathematics (Evening)

Course Objective

The aim of this course is to define the basic objects of the geometry, and to derive the algebraic equations for these objects, and to find their intersections, to obtain the distance formulas between some of these objects.

Learning Outcomes of the Course Unit

1   Will be able to define the points, the vectors, and the cartesian coordinates.
2   Will be able to define scalar (or dot), vector, and mixed products and their geometric interpretations.
3   Will be able to derive the equations for the straight lines and obtain the related distances.
4   Will be able to obtain the equations of the planes and their intersections.
5   Will be able to discuss the conic sections.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Cartesian coordinates, the point and the distance.
2 The vectors
3 The scalar (or the dot) product, the vector product and the mixed product and their geometric interpretations.
4 The straight line in the plane.
5 The normal form and the distance between a point and a straight line.
6 The straight lines in space and their vector, parametric and symmetric forms.
7 The parallel, the intersecting, and the skew lines.
8 Summary and Problem solving
9 The planes and their equations.
10 The projecting planes and the intersection of planes.
11 Some specialized distance formulas. The intersection of a straight line and a plane.
12 The conic sections. The circle and the intersections involving circles.
13 The Ellipse, the hyperbola, and the parabola. Their equations and their graphs.
14 The general conic equation and transformation of axes.

Recomended or Required Reading

Textbook(s):
-- H. I. Karakaş, Analytic Geometry, METU Press
Supplementary Book(s):
-- R. Sharipov, Course of Analytic Geometry, ArXiv 2013 (available at https://arxiv.org/abs/1111.6521)
-- J. H. Kindle, Theory and Problems of Plane and Solid Analytic Geometry, Schaum Pub.
-- Weir, Hass, Giordano, Thomas, Calculus, Pearson

Planned Learning Activities and Teaching Methods

Lecture Notes, Problem Solving

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

Midterm, Final

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Assoc. Prof. Dr. Ilhan Karakılıç
Maill: ilhan.karakilic@deu.edu.tr
Phone: +90 232 3018589
Office: B217 (Faculty of Science, Department of Mathematics)

Office Hours

TBA

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Preparations before/after weekly lectures 14 4 56
Preparation for midterm exam 1 30 30
Preparation for final exam 1 30 30
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 176

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.125354
LO.235355
LO.324455
LO.431454
LO.532454

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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