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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.
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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.
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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.
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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 Kemal ŞENTÜRK
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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 1: 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 mathematical infrastructure necessary 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 and the equation of the tangent line. 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 rotating bodies by integral calculation.
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Program Learning Outcomes |
Level of Contribution |
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1
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Knows the basic concepts in the field of computer programmıng and takes place in the computer industry as a qualified intermediate staff.
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-
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2
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Are involved in the planning and designing of software.
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2
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3
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In the software sector, performs non-managerial tasks within the group.
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-
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4
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Takes responsibility in software installation, testing and acceptance
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-
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5
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Beware of data security and storage measures.
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-
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6
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Uses and establishes basic software like word processor, spreadsheet, presentation, database, a graphical design programs.
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5
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7
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Detects and solves the problems encountered in computer software and hardware failures.
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-
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8
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Uses and manages the personal and network systems.
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-
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9
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Able to do effective search and exploration in the internet and prepares web sites.
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-
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10
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Takes responsibility in exploration costs.
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2
|
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11
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Takes place in the works related to hardware supply and installation.
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-
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12
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Beware of health and safety regulations..
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-
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13
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Knows the basic concepts in the field of human relations and entrepreneurship, service concepts.
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-
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14
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Gain the ability to think analytically. Applies the standards and regulations to techniques given in detail.
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5
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15
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Gains the habit of being open to criticism. Contributes to the country`s economy by using their knowledge and skills related to the field.
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-
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