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COURSE SYLLABUS
COORDINAT GEOMETRY I
1 Course Title: COORDINAT GEOMETRY I
2 Course Code: MAT5323
3 Type of Course: Optional
4 Level of Course: Second Cycle
5 Year of Study: 1
6 Semester: 1
7 ECTS Credits Allocated: 6
8 Theoretical (hour/week): 3
9 Practice (hour/week) : 0
10 Laboratory (hour/week) : 0
11 Prerequisites: None
12 Recommended optional programme components: None
13 Language: Turkish
14 Mode of Delivery: Face to face
15 Course Coordinator: Doç.Dr. Atilla Akpınar
16 Course Lecturers: Prof. Dr. Süleyman ÇİFTÇİ - Doç. Dr. Basri ÇELİK
17 Contactinformation of the Course Coordinator: E-posta: aakpinar@uludag.edu.tr
Telefon: +90 224 2941774
Adres: Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle-Bursa-TÜRKİYE
18 Website:
19 Objective of the Course: To gain the ability of solution by converting a given problem to an algebraic problem and so to improve the ability of mathematical thinking
20 Contribution of the Course to Professional Development
21 Learning Outcomes:
1 Can algebraically state the concepts of points and lines in the plane.;
2 Can use determinants of order two and third. ;
3 Can algebraically state the concepts of lines and planes in the space ;
4 Can use transformations of coordinates ;
5 Can establish a relation between geometric properties and algebraic properties ;
22 Course Content:
Week Theoretical Practical
1 An equation of first degree in two unknowns, cartesian coordinates in the plane, distance between two points
2 An equation of a line, parametric equation of a line
3 Slope of a line, Two equations of first degree in two unknowns, determinants of the second order
4 The set of lines through a point, axes
5 Circle, line coordinates
6 Rectangular coordinates in space
7 Distance between two points
8 An equation of plane, two homogeneous equations of first degree in three unknowns
9 Determinants of the third order
10 Three homogeneous equations of first degree in three unknowns
11 Equations of planes determined by certain conditions
12 Determinants of any order, space of four dimensions
13 Transformations of rectangular coordinates, polar coordinates in the plane
14 Transformations of rectangular coordinates in space, spherical and cylindrical coordinates
23 Textbooks, References and/or Other Materials: 1) Coordinate Geometry, L.P. Eisenhart, Dover Publications, 2005.
2) Coordinate Geometry, H.B. Fine and H.D.Thompson, The Macmillan Company, 1909.
3) The Elements Of Coordinate Geometry, Loney Sidney Luxton, Nabu Press, 2010.
4) Coordinate Geometry of Three Dimensions, Vol. 1-2 Hari Kishan, Atlantic Publishers & Distributors (P) Ltd., 2010.
24 Assesment
TERM LEARNING ACTIVITIES NUMBER PERCENT
Midterm Exam 0 0
Quiz 0 0
Homeworks, Performances 0 0
Final Exam 1 100
Total 1 100
Contribution of Term (Year) Learning Activities to Success Grade 0
Contribution of Final Exam to Success Grade 100
Total 100
Measurement and Evaluation Techniques Used in the Course
Information
25 ECTS / WORK LOAD TABLE
Activites NUMBER TIME [Hour] Total WorkLoad [Hour]
Theoretical 14 3 42
Practicals/Labs 0 0 0
Self Study and Preparation 14 5 70
Homeworks, Performances 0 0 0
Projects 0 0 0
Field Studies 0 0 0
Midtermexams 0 0 0
Others 14 7 98
Final Exams 1 14 14
Total WorkLoad 224
Total workload/ 30 hr 7,47
ECTS Credit of the Course 7,5
26 CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10
LO1 4 4 1 0 1 2 2 1 3 2
LO2 3 4 1 0 1 1 1 1 2 1
LO3 3 4 2 0 2 1 1 2 2 1
LO4 5 5 2 0 2 1 1 2 2 1
LO5 4 4 1 0 2 2 2 1 3 2
LO: Learning Objectives PQ: Program Qualifications
Contribution Level: 1 Very Low 2 Low 3 Medium 4 High 5 Very High
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