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Prerequisites
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Language of Instruction
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English
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Responsible
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Prof. Dr. Faruk POLAT
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Instructors
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Assistants
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Assoc. Prof. Dr. Mustafa ASLANTAŞ, Asst. Prof. Dr. Şerifenur CEBESOY ERDAL , Dr. Emel BOLAT YEŞİLOVA
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Resources
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R1. Adams, R. A. (1999). Calculus: A complete course. Don Mills, Ont: Addison-Wesley Longman.
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Supplementary Book
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SR1. Bayraktar, M. (2020). Kalkülüs I. Matus Yayınları. SR2. Bartle, R. G. , Sherbert, D. R. (2010). Introduction to Real Analysis, John Wiley&Sons, Fourth edition.
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Goals
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The aim of this course is to examine the concepts of sequence, subsequence, convergent sequence, lower and upper limit, Cauchy sequence, limit and continuity of functions, trigonometric, exponential, logarithmic and hyperbolic functions, uniformly continuity, properties of continuous function, derivative, rules of differentiation, higher order derivative, geometric and physical meaning of derivative, extremes, theorems related to derivative, limits the uncertain situations and differentiation, sketching curve in cartesian and polar coordinates .
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Content
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Sequence, subsequence, convergent sequence, lower and upper limit, Cauchy sequence, limit and continuity of functions, trigonometric, exponential, logarithmic and hyperbolic functions, uniformly continuity, properties of continuous function, derivative, rules of differentiation, higher order derivative, geometric and physical meaning of derivative, extremes, theorems related to derivative, limits the uncertain situations and differentiation, sketching curve in cartesian and polar coordinates .
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