Genel Bilgi Konu Başlıkları Yeterlilik İlişkisi Değerlendirme Sistemi Öğrenme Çıktıları Özgü Ölçüt Matrisi

Hafta	Teori Konu Başlıkları
1	Reel değerli ve tek reel değişkenli WEEKLY COURSE CONTENTS Theory Topics Real-valued and the only real definition of derivative, continuity and derivative relationship between the algebraic operations Differentiability of functions, derivative of composite functionstürev tanımı, süreklilik ile türev arasındaki ilişki, fonksiyonların cebirsel işlemlerinin türevlenebilirliği, bileşke fonksiyonun türevi.evi.
2	Exponential, logarithmic, trigonometric, inverse trigonometric, hyperbolic and inverse hyperbolic functions, definition, continuity and derivatives
3	Parametric derivative, higher order derivatives, Leibnitz rule
4	The definition of the local extremum point, Fermat's theorem, Rolle's theorem and the geometric interpretation of the Lagrangian (mean value) theorem and its geometric interpretation of the generalized mean value theorem
5	The critical point, the absolute maximum and absolute minimum, Darboux's theorem, L'Hospital's rule
6	I. derivative test, II. derivative test, the high-order derivative test, asymptotes, and graph drawing,Series of real numbers, convergence of the series, algebraic operations and convergence of the series, geometric series, arithmetic series
7	MIDTERM
8	MIDTERM
9	Comparison tests for convergence of series with non-negative terms,Cauchy criterion for the convergence of the series concentration, absolute convergent series, Abel's Theorem, the Riemann series
10	Power series, Taylor series, Theorems on the convergence of the Taylor series
11	Definition and properties of indefinite integrals, change of variable method, integration, integration of rational and irrational functions
12	Binomial integral, integral of trigonometric functions
13	functions
14	functions

Hafta	Uygulama Konu Başlıkları
1	WEEKLY COURSE CONTENTS Theory Topics Real-valued and the only real definition of derivative, continuity and derivative relationship between the algebraic operations Differentiability of functions, derivative of composite functions
2	Exponential, logarithmic, trigonometric, inverse trigonometric, hyperbolic and inverse hyperbolic functions, definition, continuity and derivatives
3	Parametric derivative, higher order derivatives, Leibnitz rule
4	The definition of the local extremum point, Fermat's theorem, Rolle's theorem and the geometric interpretation of the Lagrangian (mean value) theorem and its geometric interpretation of the generalized mean value theorem
5	The critical point, the absolute maximum and absolute minimum, Darboux's theorem, L'Hospital's rule
6	I. derivative test, II. derivative test, the high-order derivative test, asymptotes, and graph drawing,Series of real numbers, convergence of the series, algebraic operations and convergence of the series, geometric series, arithmetic series
7	MIDTERM
8	MIDTERM
9	Comparison tests for convergence of series with non-negative terms,Cauchy criterion for the convergence of the series concentration, absolute convergent series, Abel's Theorem, the Riemann series
10	Kuvvet serileri, Taylor serisi, Taylor Power series, Taylor series, Theorems on the convergence of the Taylor seriesyakınsaklığı ile ilgili teoremler.
11	Definition and properties of indefinite integrals, change of variable method, integration, integration of rational and irrational functions
12	Binomial integral, integral of trigonometric functions
13	Darboux and Riemann's definition of definite integrals and equivalence of these definitions, integrallenebilirligi continuous monotone functions, integrable functions, algebraic operations
14	Integral Calculus I. fundamental theorem of integral calculus II. The fundamental theorem of Leibnitz formula, I. the mean value theorem, II. mean value theorem, area and volume calculation