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  • Course Information
    • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    Vocational Mathematic II CEL102 SPRING 3+1 C 4
    Learning Outcomes
    1-Solve linear equation systems using matrices and determinants in professional applications.
    2-Applies limit rules in instant change calculations.
    3-Makes physical and geometric applications using derivative.
    4-Make calculations of area and volume using integral.
    Prerequisites -
    Language of Instruction Turkish
    Responsible Lecturer İkbal AY KEÇELİ
    Instructors -
    Assistants -
    Resources 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
    Supplementary Book YK1: Problematic Mathematical Analysis Problem Volume: 1 Prof. Dr. Mustafa BALCI September 2016 / 7th Edition
    Goals 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.
    Content 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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