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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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Matrices, matrix types, operations on matrices.
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K1 CHAPTER 5
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2
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Transposition of matrices and inverses.
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K1 CHAPTER 5
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3
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Definition of determinants, calculation of second order determinants.
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K1 CHAPTER 5
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4
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Sarruss and laplace rules in the calculation of third order determinants.
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K1 CHAPTER 5
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5
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Solution of linear systems of equations with matrices and determinants. Application about electrical circuits.
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K1 CHAPTER 5
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6
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Definition of limit and limit taking rules. Limits on right and left.
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K1 CHAPTER 6
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7
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Continuity of functions. Description with graphics.
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K1 CHAPTER 6
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8
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Definition of derivative. Differentiation rules. Derivatives of various functions.
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K1 CHAPTER 7
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9
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Geometric interpretation of the derivative. Derivative applications. Finding ranges where a function is decreasing or increasing, the slope and the equation of the tangent line.
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K1 CHAPTER 7
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10
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Velocity and acceleration calculations using derivative. Application of L`hospital rule to uncertainties. Application related to the change of current over time.
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K1 CHAPTER 7
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11
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Defining the integral. Explanation of general rules for indefinite integral.
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K1 CHAPTER 9
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12
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Integration methods.
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K1 CHAPTER 9
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13
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Specific integral, definition and properties.
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K1 CHAPTER 9
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14
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Applications of integral. Calculation of the area of planar regions and volumes of rotating bodies by integral calculation. Application related to the calculation of the electrical field.
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K1 CHAPTER 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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Lecturer İkbal AY KEÇELİ
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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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K: GENERAL MATHEMATICS for Vocational Schools Prof.Dr. Sebahattin BALCI 7th Edition Çankırı.
K 2: For Basic Mathematics Vocational School and Technical Education Faculties Prof.Dr. Mustafa Balcı BALCI PUBLICATIONS 2011 / 2nd Edition
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Supplementary Book
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YK1: Problematic Mathematical Analysis Problem Volume: 1 Prof. Dr. Mustafa BALCI September 2016 / 7th Edition
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Goals
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To understand the importance of mathematics in the professional sense, to gain the ability to apply the mathematical knowledge and skills required for the profession to the business. To provide the necessary mathematical infrastructure to develop the power to make transactions, to comment, to complete the associate degree program and to better understand the numerical issues in other vocational courses.
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Content
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Matrices, matrix types, operations on matrices. Transposition of matrices and inversion. Definition of determinants, calculation of second order determinants. Sarric and laplace rules in the calculation of third order determinants. Solution of linear systems of equations with matrices. Solution of systems of linear equations with determinants. Definition of limit and limit taking rules. Limits from the left and right. Continuity of functions. Description with graphics. Definition of derivative. Differentiation rules. Derivatives of various functions. Geometric interpretation of the derivative. Derivative applications. Finding ranges where a function is decreasing or increasing, the slope of the tangent line and the equation. Velocity and acceleration calculations using derivative. Application of L`hospital rule to uncertainties. Defining the integral. Explanation of general rules for indefinite integral. Integration methods. Specific integral, definition and properties. Applications of integral. Calculation of the area of ??planar regions and volumes of rotational bodies by integral calculation.
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Program Learning Outcomes |
Level of Contribution |
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1
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Organizes work. Makes preparations for work.
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-
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2
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Recognizes and uses machinery and equipment used in manufacturing, control, maintenance and commissioning processes in the factory. Knows the physical demands of electricity in the factory.
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-
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3
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Performs commissioning and control operations in the factory. It detects faults
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-
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4
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Performs periodic/protective maintenance of machinery and equipment. Eliminates malfunctions of electrical machinery and equipment.
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-
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5
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Maintains and repairs the Protective/Safety installation.
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-
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6
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Maintains and repairs internal and external installations. Installs machinery, equipment and installations.
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4
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7
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Carries out activities related to professional development.
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-
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8
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Evaluates the advantages and disadvantages of materials used in the electrical engineering industry
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-
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9
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Reads and interprets engineering drawings and diagrams. Planning and designing. Interpret bar charts, critical-path-networks, assembly diagrams, circuit and schematic diagrams.
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-
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10
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Executes the discovery process. Performs inspection, testing and acceptance procedures.
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3
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11
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Establishes the facility of lighting and power systems. Supervises the installation of transmission and distribution systems.
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-
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12
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Placement, classification and adjustment of materials and equipment related to the system. Makes the selection, classification and adjustment of cable machinery and equipment suitable for the working environment.
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-
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13
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Knows where to apply the law-based regulations on electrical sources, health and safety in the workplace. Applies the techniques detailed in standards and regulations.
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-
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14
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Checks and repairs the installation.
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4
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15
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Makes teamwork. Communicates.
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-
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