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Supplementary Book
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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.
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Content
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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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