DEPARTMENT OF MATHEMATICS

COURSE	Math 205 Analytic Geometry
SEMESTER	FALL 2009
INSTRUCTOR	Assis. Prof. Dr. Bedia Akyar Moller
E-MAIL	bedia.akyar@deu.edu.tr
CLASS SCHEDULE	Monday 08:30-11:30
OFFICE AND PHONE	4128590
OFFICE HOURS	Monday 12:30-13:30, Tuesday 14:00-14:30

COURSE OBJECTIVES

This course is designed to study the geometry of figures by algebraic representation and manipulate the equations describing their positions, configurations and separations . By the end of this course students are expected to

understand the line, plane, conics and parametric curves
interpret a quadratic equation
use calculus in polar coordinates

TEXTBOOK Your basic textbook is "Analytic Geometry" by H. I. Karakaş, and also "Calculus with Analytic Geometry" by G.B. Thomas and R.L. Finney, Addisson-Wesley Publishing Company 1996. The text book is a good summary of the content. It is rich in examples, exercises as well as applications.

REFERENCE BOOKS AND JOURNALS "Analytic Geometry 6^th edition" by D. F. Riddle, PWS Publishing Company 1996. This book covers only the analytic geometry part of the course, but in detail. "Analytic Geometry" by J. H. Kindle Schaum Publishing. "Essential of Plane trigonometry and Analytic Geometry" by A. H. Sprague.

COURSE GRADING

Course grades will be based on a weighted composite of performance evaluations in several areas:

Midterm Exam	25%
Quizzes & Assignments	30%
Final Exam	40%
Class Participation	5%

PERCENT	GRADE	LETTER
90-100	4.0	AA
85-89	3.5	AB
80-84	3.0	BB
75-79	2.5	BC
70-74	2.0	CC
65-69	1.5	CD
60-64	1.0	DD
50-59	0.5	DF
49 and below	0.0	FF

COURSE OUTLINE

DATE	CHAPTER	PAGES	TOPIC
28.09			Calculation of the circumference of the Earth, Pythagoras Theorem, Pythagorean triples, Rectangular coordinate system, point, vector, absolute value, directed line segment, projection.
05.10			Vector spaces with located vectors, inner product space, norm, orthogonality, inner product space, vector product, mixed product and their geometric interpretation.
12.10			Length, area, volume, point of division, translation and rotation of axes.
19.10			Line, direction numbers, direction angles, an equation of a straight line, distance from a line to a point, system of lines.
26.10			Plane, equations in three variables, standard form of the equation of a plane, the normal form of the equation of a straight line in a plane.
02.11			Angle between two planes, parallel and perpendicular planes. Special forms of the equation of a plane, distance from a plane to a point.
09.11			Intersection of planes, intersection of planes and lines, specialized distance formula, parametrization of some plane curves.
16.11			Locus problems : Circle, parabola, ellipse, hyperbola. Classifying conic sections by eccentricity.
23.11			Intersection of a circle and a straight line in a plane and intersection of circles, asymtotes of a hyperbola.
30.11			Equations of second degree, classification of conics.
07.12			Conic sections, graphing in polar coordinates, polar equations for conic sections.
14.12			Cylinders and quadric surfaces.
21.12			Sphere, ellipsoid, hyperboloid.
28.01			Paraboloid, cone, elliptic paraboloid, hyperbolic paraboloid .
04.01			Polar and spherical coordinates.

QUIZZES -ASSIGMENTS

Almost every week there will be some homeworks delivered. The answers and common mistakes will be discussed the following week. Homeworks will be evaluated as a quiz. No make-up quiz will be given in any circumstances.

Each section of text book has plenty of exercises. Some will be solved in the class and those that are not solved in the class will be given as assignments. You are strongly encouraged to solve by yourselves. "Mathematics is learnt by only doing".

RULES FOR ATTENDANCE: Attendance is an essential requirement of this course and is the responsibility of the student. Class begins promptly and you are expected to be present at the beginning and at the end of each class session.

HOMEWORK POLICY: Homework problems are the best preparation for exams. You should try to work the homework problems without constant reference to the text or passively receiving help from others. I encourage to discuss problems with others, but you should try to do the actual problems yourself. If you have gotten the idea about how to solve a problem from another person or by looking things up in the text, try to do a related problem without outside aid.

The content of this syllabus can be changed by the instructor at any time by informing the related department's head
The student is supposed to be aware of the facts and notices written in this syllabus.
The content of this syllabus can be changed by the instructor at any time by informing the related department's head
The student is supposed to be aware of the facts and notices written in this syllabus.