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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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Vectors on a plane
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R1- Chapter 3.1
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2
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Algebraic operations of vectors on a plane
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R1- Chapter 3.2
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3
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Linear dependence and independence of vectors
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R1- Chapter 3.3, R2- Lecture Notes
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4
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Line on a plane
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R1- Chapter 2.2, 3.4
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5
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Projection of a point on a line, its distance and the distance between two lines on a plane
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R1- Chapter 3.5
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6
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The angle between two lines, the equations of bisector and the symmetry according to a line and a line
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R1- Chapter 3.5
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7
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General definitions of conic curves and the examination of circles analytically
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R1- Chapter 4.1
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8
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The examination of parabolas analytically
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R1- Chapter 4.2
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9
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The examination of ellipses analytically
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R1- Chapter 4.3, 4.4
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10
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The examination of hyperbolas analytically
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R1- Chapter 4.5, 4.6
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11
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Translation on a plane
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R1- Chapter 2.6
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12
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Rotation on a plane
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R1- Chapter 2.6
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13
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The classification of the second degree algebraic curve on a plane
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R1- Chapter 4.7
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14
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Standard form of the second degree algebraic curve on a plane
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R1- Chapter 4.7
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Prerequisites
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-
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Language of Instruction
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English
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Responsible
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Dr. Gül UĞUR KAYMANLI
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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- Karakaş, H. İ. (1994). Analytic Geometry. METU Department of Mathematics, Ankara.
R2- Lecture Notes.
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Supplementary Book
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SR1- Kindle, J. H. (1990). Analytic Geometry (Schaum`s Outline Series in Mathematics). McGraw Hill, New York.
SR2- Flanders, H. and Price, J. J, (1978). Calculus with Analytic Geometry. Academic Press, Cambridge.
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Goals
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Introduce fundamental concepts of plane geometry and teach the relation between algebraic and geometric properties
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Content
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Vectors on a plane; Algebraic operations of vectors on a plane; Linear dependence and independence of vectors; Line on a plane; Projection of a point on a line, Its distance and the distance between two lines on a plane; The angle between two lines, the equations of bisector and the symmetry according to a line and a line; General definitions of conic curves and the examination of circles analytically; The examination of ellipses analytically; The examination of hyperbolas analytically; The examination of parabolas analytically;
Translation on a plane; Rotation on a plane; The classification of the second degree algebraic curve on a plane; Standard form of the second degree algebraic curve on a plane.
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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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3
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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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2
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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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3
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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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