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  • Course Information
  • Course Title Code Semester Laboratory+Practice (Hour) Pool Type ECTS
    MATHEMATICS II MAT162 SPRING 2+2 Fac./ Uni. S 5
    Learning Outcomes
    1-Uses the derivatives and graphs of functions
    2-Solves optimization problems
    3-Computes indefinite and definite integrals of a function of a single variable, area and volume with definite integral
    Prerequisites -
    Language of Instruction Turkish
    Responsible Asst. Prof. Dr. Gül UĞUR KAYMANLI
    Instructors -
    Assistants Assoc. Prof. Dr. Müfit ŞAN, Asst. Prof. Dr. Hanife VARLI
    Resources R1. Lecture notes R2. Balcı, M. (2016). Genel Matematik. Palme Yayıncılık.
    Supplementary Book SR1. Çelik, B., Cangül, İ. N., Çelik, N., Bizim, O., Öztürk, M. (2010). Temel Matematik. Dora Basım-Yayın. SR2. Thomas, G., Weir, M., Hass, J., Giordano, F. (2004). Thomas Calculus 11th Ed. Pearson.
    Goals To show the basic mathematical notions and subjects that are necessary for a student to solve the mathematical problems of his area.
    Content Definition of the derivative, rules of differentiation, a derivative of a composition, derivatives of higher order, Derivatives of the exponential and logarithmic functions, a derivative of an implicit function, Derivatives of parametric functions, Notion of differential, geometric and physical interpretations of the derivative, Mean value theorem, increasing and decreasing functions, Extremum values, first derivative test, concavity and inflection points, second derivative test, L`hospital rule, Asymptotes and sketching graphs, Optimization problems, related rates, indefinite integral, basic integral formulas, technics for computing indefinite integrals, integration by changing variables, integration by parts, integrals of rational functions, the definite integral and its properties, Mean value theorem for integrals, area under the curves, volumes of solids of revolution, Functions in multivariables, partial dervatives.
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