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Week
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Topics
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Study Metarials
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1
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Cartesian product, Relation, Equivalence relation
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R1-Chapter 5.1,
R2- Chapter 1.2
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2
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Operations and algebraic structures
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R2-Chapter 1.4, 3.1, 4.1
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3
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Origin and various definitions of geometry
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R3- Chapter 1.1
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4
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Euclidean geometry
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R3- Chapter 1.2
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5
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Non-Euclidean geometries
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R3- Chapter 1.3
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6
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Primitive concepts
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R3- Chapter 2.1
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7
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Affine planes and theorems about Affine planes
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R3- Chapter 2.2
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8
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Various examples of Affine planes
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R3- Chapter 2.2
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9
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Projective planes and theorems about projective planes
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R3- Chapter 2.3
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10
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Various examples of projective planes
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R3- Chapter 2.3
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11
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Relationships between affine plane and projective plane
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R3- Chapter 2.4
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12
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Subplanes
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R3- Chapter 2.5
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13
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Other geometric structures
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R3- Chapter 2.6
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14
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Homogeneous coordinates in the plane
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R4- Chapter 8.2
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Prerequisites
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-
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Language of Instruction
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Turkish
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Responsible
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Asst. Prof. Dr. Kahraman Esen ÖZEN
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Instructors
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-
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Assistants
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-
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Resources
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R1. Çelik, B. (2018). Soyut Matematik, 3. Baskı. Dora Yayıncılık, Bursa
R2. Çallıalp, F. (2009). Örneklerle Soyut Cebir, Birsen Yayınevi, İstanbul
R3. Kaya, R. (2005). Projektif Geometri, Osmangazi Üniversitesi Yayınları, Eskişehir
R4. Yüce, S. (2017). Analitik Geometri, 1. Baskı. Pegem Akademi, Ankara
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Supplementary Book
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SR1. Fishback, W. T. (1966). Projective and Euclidean Geometry, John Wiley and Sons, New York
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Goals
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To introduce Euclidean geometry, other geometries and various geometric structures
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Content
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Euclidean geometry, Non-Euclidean geometries, Affine planes, Projective planes, Relationships between affine plane and projective plane, Other geometric structures
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Program Learning Outcomes |
Level of Contribution |
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1
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Having advanced theoretical and applied knowledge in the basic areas of mathematics
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-
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2
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Ability of abstract thinking
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3
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3
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To be able to use the acquired mathematical knowledge in the process of defining, analyzing and separating the problem encountered into solution stages.
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2
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4
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Associating mathematical achievements with different disciplines and applying them in real life
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-
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5
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Ability to work independently in a problem or project that requires knowledge of mathematics
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-
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6
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Ability to work harmoniously and effectively in national or international teams and take responsibility
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-
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7
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Having the skills to critically evaluate and advance the knowledge gained from different areas of mathematics
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3
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8
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To be able to determine what kind of knowledge learning the problem faced and to direct this knowledge learning process.
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-
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9
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To adopt the necessity of learning constantly by observing the improvement of scientific accumulation over time
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-
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10
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Ability to verbally and in writing convey thoughts on mathematical issues, and solution proposals to problems, to experts or non-experts.
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2
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11
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Being able to produce projects and organize events with social responsibility awareness
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-
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12
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Being able to follow publications in the field of mathematics and exchange information with colleagues by using a foreign language at least at the European Language Portfolio B1 General Level
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-
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13
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Ability to use computer software (at least at the Advanced Level of European Computer Use License), information and communication technologies for solving mathematical problems, transferring ideas and results
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-
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14
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Being conscious of acting in accordance with social, scientific, cultural and ethical values
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-
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