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Prerequisites
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Analiz 1, Analiz 2, İleri Analiz 1
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Language of Instruction
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Turkish
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Responsible
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Assoc. Prof. Dr. Müfit ŞAN
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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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R1. Lecture notes
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Supplementary Book
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SR1. Musayev, B., Mustafayev N., ve Koca K. (2007) Teori ve Çözümlü Problemlerle Analiz IV, Seçkin Yayıncılık.
SR2. Balcı, M. Matematiksel Analiz, Palme Yayıncılık.
SR3. Adams, R.A. (2002). Calculus, Addision-Wesley.
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Goals
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The aim of this course is to teach the basic properties of multiple integrals, double and triple integrals, applications of line integrals and surface integrals.
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Content
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The Taylor expansion of the function of two variables, extremum of functions of two variables, change of variables and vector fields, geometric interpretation of partial derivatives, double integrals, change of variables of double integrals, area, volume, and center of mass by double integration, triple integrals, evaluations of triple integrals by spherical and cylindrical coordinates, volume and center of mass by triple integration, line integrals (line integrals of scalar and vector fields), fundamental theorems and applications of line integrals, surface integrals, fundamental theorems and applications of surface integrals
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