Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
MATHEMATICS II MAT 112 2 4 + 0 4 6
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Doç.Dr. MURAT GÜZELTEPE Dersi Verenler Dersin Yardımcıları Research Assistants in mathematics department Dersin Kategorisi Genel Eğitim Dersin Amacı To teach indefinite integral, methods of indefinite integral, Characteristics of the integral, Theorems related with the Riemann integral, Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their characteristics, functions of several variables. Dersin İçeriği Indefinite integral and methods for calculating integrals, Properties of definite intagral and related theorems, applications of definite integral (calculating Area, arc length, volume, surface area), Generalized integrals and their properties, multi-variable functions.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/ she recognizes the concept of the indefinite integral. 1 - 4 - 15 - A - C - 2 - He/ she applies the integral methods 1 - 4 - 15 - A - C - 3 - He/ she recognizes the definite integral . 1 - 4 - 15 - A - C - 4 - He/ she recognizes the generalized integrals. 1 - 4 - 15 - A - C - 5 - He/ she interprets the properties of the generalized integrals. 1 - 4 - 15 - A - C - 6 - He/she recognizes functions of several variables. 1 - 4 - 15 - A - C - 7 - He/she solves limit and continuity at the function of several variables. 1 - 4 - 15 - A - C - 8 - 1 - 4 - 15 - A - C - 9 - 1 - 4 - 15 - A - C - 10 - 1 - 4 - 15 - A - C - 11 - 1 - 4 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 4:Drilland Practice 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Indefinite integrals, methods of integrals, changing variables.
2 Partial integration method. Integral of rational functions.
3 Integral of trigonometrical expressions.
4 Integral of Irrational algebraic functions, Binom integrals Various changing variables.
5 Concept of definite integral. The problems of causing definite integral. Definition of definite integral.
6 Calculation of definite integral with the help of its definition. Proof of basic integration rules.
7 Basic theorİes of integral calculation. Changing variables methods in definite integral.
8 Partial integration method for definite integrals. Integral of some special defined functions.
9 Calculation of area,
10 Calculation of volume with definite integral
11 Calculation of volume with definite integral
12 Calculation of length of arc, Computation of surface area of rotated objects.
13 Generalized integrals.
14 Calculation of area and volume with generalized integral.

#### Kaynaklar

Ders Notu

Lecture Notes

Ders Kaynakları

[1] Thomas, G.B., Thomas Calculus, 11.baskı, çeviri:Recep Korkmaz, Beta Basım, 2010.
[2] Kadıoğlu, E., Kamali, M., Genel Matematik, Kültür Eğitim Vakfı, 2009.
[3] Can, M., Yüksek Matematik 1, Literatür, 2009.
[4] Balcı, M., Genel Matematik 1, Sürat Yayınları, 2012.

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
KisaSinav 2 10
Odev 1 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 4 64
Mid-terms 1 10 10
Quiz 2 2 4
Assignment 1 10 10
Final examination 1 10 10
Toplam İş Yükü 162
Toplam İş Yükü /25(s) 6.48
Dersin AKTS Kredisi 6.48
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