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Prerequisites
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Language of Instruction
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Turkish
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Responsible
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Asst. Prof. Dr. Göksu GÖREL
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Instructors
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Assistants
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Resources
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R1- Adams, R. A. & Christopfer, E. (2010). Çeviren: Terziler, M. & Öner, T. (2017). Kalkülüs Eksiksiz Bir Ders (1. Basım), Palme Yayınevi, Ankara.
R2-Balcı, M. (2011). Matematik Analiz II (1. Basım), Balcı Yayınları, Ankara.
R3- Musayev, B. & Alp, M. & Mustafayev, N. (2007). Teori ve çözümlü Problemlerle Analiz II (2. Basım), Seçkin Yayıncılık, Ankara.
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Supplementary Book
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Goals
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To teach the basic concepts and subjects required for the solution of the mathematical problems related to the discipline of the student
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Content
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Partial integration method; simple
fractional separation method,
Inverse variable changing method;
improper integrals,
The volumes of the rotating bodies; spring
length and surface area,
Series and convergence; infinite series;
convergence tests for positive series,
Absolute and conditional convergence; force
series; Taylor and Maclaurin series,
Multivariable functions; limit and
continuity; partial derivation,
Higher order derivatives; chain
rule; linear approach,
Gradient and directional derivative; closed
functions and Closed Function
theorem,
Maximum and minimum. Lagrange
multiplier method,
Double integrals; Cartesian
double integrals in the coordinates
iteration,
Variable in two-level integrals
changing; At polar coordinates
double integrals,
Triple integrals; three storey
changing variables in integers;
Three cylindrical and spherical coordinates
folded integrals,
Vector and scalar fields; linear
integrals; surface integrals,
Green, Divergence and Stoke theorems
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