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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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Number sets and their properties, simple inequalities and absolute value
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R1-Section 1.6 & 1.7 & 2.4
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2
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Rational exponents, factorization and rational numbers
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R1-Section 1.8 & 1.9
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3
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Equations and equation systems
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R1-Section 2.1 & 2.2 & 2.3
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4
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İnequalities and inequality systems
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R1-Section 2.4 & 2.5 & 2.6
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5
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Relations, functions and their properties
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R1-Section 4.1 & 4.2
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6
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Polynomial and rational functions
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R1-Section 3.1 & 3.2 & 3.3 & 3.4 & 3.5
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7
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Exponential function, logarithm and trigonometric functions
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R1-Section 6.1 & 6.2 & 2.4
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8
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Matrices
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R1-Section 8.1
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9
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Determinant
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R1-Section 8.4
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10
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Solving linear equation systems
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R2-Section 1.1
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11
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Limit and continuity of a function
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R1-Section 9.1
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12
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Definition of the derivative, rules of differentiation, derivative of a composition, derivaties of higher order
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R1-Section 10.1 & 10.2 & 10.8
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13
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Derivatives of the exponential and logarithmic functions, logarithmic derivation, derivative of an implicit function
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R1-Section 10.4 & 10.5 & 10.7
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14
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Derivatives of parametric functions, Notion of differential, geometric and physical interpretations of the derivative
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R1-Section 10.6 & 10.9
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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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Dr. Gül UĞUR KAYMANLI
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Instructors
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-
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Assistants
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Dr. Hanife VARLI, Dr. Emel BOLAT YEŞİLOVA, Dr. Harun BALDEMİR
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Resources
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R1 - Balcı, M. (2012). Temel Matematik I, Palme Yayınları.
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Supplementary Book
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SR1 - Çelik, B., Cangül, İ.N., Çelik, N., Bizim, O., Öztürk, M. (2010). Temel Matematik, Dora Basım-Yayın.
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Goals
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To teach the basic mathematical notions and subjects that are necessary for a student to solve the mathematical problems of his area.
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Content
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Sets of numbers and their properties, basic inequalities, absolute value, powers and roots
of numbers, factorization and rational expressions, equations and system of equations,
inequalities and system of inequalities, relations, functions and their properties, polynomials
And rational functions exponential, logarithmic and trigonometric functions, matrices and determinants, a system of linear equations and their solutions, limits
and continuity of functions, the definition of derivative, differentiation rules, derivatives of
composition of functions, higher-order derivatives, derivatives of exponential logarithmic
and trigonometric functions, implicit differentiation, derivatives of parametric functions, the
concept of differential, geometric and physical meanings of derivatives.
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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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4
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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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-
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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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-
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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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