Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
ANALYSIS I IME 201 3 4 + 2 5 7
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Dr.Öğr.Üyesi MİTHAT TAKUNYACI Dersi Verenler Dr.Öğr.Üyesi MİTHAT TAKUNYACI Dersin Yardımcıları Res.Assist.Mithat TAKUNYACI Dersin Kategorisi Alanına Uygun Öğretim Dersin Amacı To give information about subjects related limit, continuity, derivative, indefinite integral and definite integral on single variable functions and their applications Dersin İçeriği Concept of limit and applications on single variable functions. Continuity and applicaitons, varieties of discontinuity on single variable functions. Concept of derivative and derivative methods on single variable functions. Derivative of polynomial, trigonometric, logarithmic, exponentional, hyperbolic functions and their inverses and derivative of closed functions. higher order derivatives. Extramum and absolute extramum points of functions, extramum problems and practice on different fields. Rolle and Cauchy Mean Value Theorems. Finite Taylor Theorem. L’Hospital Rule and limit practices by the help of this rule. Differential and linear rise. Concept of integral, indefinite integrals, integral methods, definite integral, calculate area and volume by the help of definite integral, practices on different fields.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Define basic rules about subject of limit and apply on single variable functions 1 - 4 - A - C - 2 - On single variable functions, express the information about concept of continuity, discontinuity and interpret from the point of geometrical view. 4 - 1 - C - A - 3 - Express the information about derivative and basic theorems related derivative, calculate and apply the derivative of polynomial, trigonometric, logarithmic, exponentional and composite and inverse functions 1 - 4 - A - C - 4 - Calculate limit by the help of L’Hospital Rule on single variable functions 4 - 1 - C - A - 5 - Express indefinite integral and integral methods and apply to problems on single variable functions 1 - 4 - A - C - 6 - Express the information about concept of definite integral and apply on area, arc length and volume by the help of definite integral 1 - 4 - A - C -
 Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Concept of limit on single variable functions
2 Applications of limit on single variable functions
3 Continuity – discontinuity and their applicaitons on single variable functions
4 Derivative and derivative methods on single variable functions
5 Derivative of trigonometric, logarithmic, exponentional, hyperbolic functions and their inverses and derivative of closed functions
6 Extramum and absolute extramum points of functions, extramum problems and practice on different fields
7 Graph drawings by the help of derivative
8 L’Hospital Rule and limit practices by the help of this rule. Differential and linear rise
9 Mid- Term Exam
10 Indefinite integrals and integral methods: change of variable
11 Integration by parts, integral of trigonometric, irrational, Binomial integrals
12 Definite integral
13 Calculation of area and length of a curve by the help of integral
14 Calculation of volume by the help of integral and practice on different fields

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 60
KisaSinav 1 15
Odev 1 10
KisaSinav 2 15
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

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