Course Name Code Semester T+U Hours Credit ECTS
Combinatorial Geometry I MAT 532 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Optional
Course Coordinator Dr.Öğr.Üyesi İBRAHİM ÖZGÜR
Course Lecturers
Course Assistants Research Assistants
Course Category
Course Objective To introduce non-Euclidean finite geometries and its combinatorial properties.
Course Content Approximated linear spaces, dimension, linear functions, linear spaces, hyperplanes, projective planes, affine planes, finite projective planes, Desargues and Pappus configurations, embedding affine planes to projective planes
# Course Learning Outcomes Teaching Methods Assessment Methods
1 He/She constitutes a finite geometrical structure and analysis its properties Lecture, Drilland Practice, Problem Solving, Testing, Homework,
2 He/She analysis approximated linear spaces and its properties, Lecture, Drilland Practice, Problem Solving, Testing, Homework,
3 He/She formulates approximated linear spaces and its combinatorial properties, Lecture, Drilland Practice, Problem Solving, Testing, Homework,
4 He/She designs hyperplanes, Lecture, Drilland Practice, Problem Solving, Testing, Homework,
5 He/She defines the finite an infinite projective planes, Lecture, Drilland Practice, Problem Solving, Testing, Homework,
6 He/She generates the Desargues configurations in affine plane, Lecture, Drilland Practice, Problem Solving, Testing, Homework,
7 He/She defines finite and infinite affine planes, Lecture, Drilland Practice, Problem Solving, Testing, Homework,
8 He/She designs the embedding of an affine plane into the projective plane, Lecture, Drilland Practice, Problem Solving, Testing, Homework,
9 He/She constructs the Desargues and Pappus configurations Lecture, Drilland Practice, Problem Solving, Testing, Homework,
10 He/She designs affine paces. Lecture, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Near-linear spaces
2 Dimensions
3 Linear functions
4 Linear spaces
5 Hyperplanes
6 Projective planes
7 Finite projective planes
8 The Desargues configuration
9 The Pappus configuration
10 Affine planes
11 Finite affine planes
12 Embedding affine planes to projective planes
13 The Desargues configuration in affine planes
14 Affine spaces
Resources
Course Notes [1] Lynn Margaret BATTEN, Combinatorics of Finite Geometries Cambridge Univ. <br>Press, 1986
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
2 Student follows the current journals in his/her field and puts forward problems. X
2 Student follows the current journals in his/her field and puts forward problems. X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
3 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
4 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
5 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
6 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
6 Student determines the problems to be solved within his/her field and if necessary takes the lead.
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
7 Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. X
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
8 Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters X
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. X
9 Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. X
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
10 Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. X
11 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
1. Ödev 10
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 15 15
Quiz 2 5 10
Assignment 1 5 5
Final examination 1 20 20
Total Workload 146
Total Workload / 25 (Hours) 5.84
dersAKTSKredisi 6