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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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K 1 CHAPTER 5
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2
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Transposition of matrices and inverses.
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K 1 CHAPTER 5
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3
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Definition of determinants, calculation of second order determinants.
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K 1 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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K 1 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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K 1 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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K 1 CHAPTER 6
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7
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Continuity of functions. Description with graphics.
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K 1 CHAPTER 6
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8
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Definition of derivative. Differentiation rules. Derivatives of various functions.
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K 1 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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K 1 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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K 1 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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K 1 CHAPTER 9
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12
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Integration methods.
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K 1 CHAPTER 9
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13
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Specific integral, definition and properties.
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K 1 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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K 1 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 Abdullah YILMAZ
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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 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 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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