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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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Set notion, Operations on sets, Universal set, The power set, Representation of sets
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R1- Section 2.1-2.6
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2
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Real numbers and its subsets, Four operations in numbers and their properties
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R2- Preliminaries-P1
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3
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Intervals, Absolute value, Equations, Inequalities, Solutions of systems of equations and inequalities
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R2- Preliminaries-P1
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4
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Plane, Cartesian coordinates in plane, Lines, Equation of lines
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R2- Preliminaries-P2
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5
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Circles, Disks, Parabola, Ellipse and Hyperbolic equations
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R2- Preliminaries-P3
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6
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Functions and their graphs, Odd and even functions, Some special functions, Operations in functions
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R2- Preliminaries-P4
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7
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Composite functions, Piecewise defined functions
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R2- Preliminaries-P5
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8
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Trigonometric functions, Some trigonometric identities, Sum and difference formulas
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R2- Preliminaries-P7
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9
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Limit of functions, Limit rules, Squeeze Theorem
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R2- Section 1.1-1.3
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10
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The continuity of a function at a point and in an interval
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R2- Section 1.4
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11
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Discontinuity, Removable discontinuity, Continuous extensions
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R2- Section 1.4
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12
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Continuous functions on a finite and closed interval
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R2- Section 1.4
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13
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Formal definition of limit and its applications
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R2- Section 1.5
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14
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Tangent and normal lines
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R2- Section 2.1
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Prerequisites
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-
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Language of Instruction
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Turkish / English
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Responsible
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Prof. Dr. Ahmet Yaşar ÖZBAN
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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. Schumacher, C. (2001). Chapter zero, Fundamentals Notions of Abstract Mathematics, 2nd Edition, Addison-Wesley, USA.
R2. Adams, R. A., & Essex, C. (2010). Calculus: a complete course, Pearson, USA.
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Supplementary Book
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SR1. Hass, J., Heil, C. and Weir, M.D. (2018) Thomas` Calculus, 14th Edition, Pearson, USA.
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Goals
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The aim of this course is, in general, to teach basic terms related to mathematics included in scientific publications in English, and in particular to comprehend terms parallel to seen in basic mathematics courses and to teach students translation techniques from English to Turkish and vice versa in the field of Mathematics.
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Content
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Basic terms related to sets, real numbers, cartesian coordinates, functions and their graphs, limit, continuity and differentiation.
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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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3
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2
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Ability of abstract thinking
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-
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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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-
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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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1
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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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2
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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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-
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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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3
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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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