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Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
MATHEMATICS II MAT 112 2 4 + 0 4 6
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
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.


Döküman Paylaşımı


Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 To have sufficient foundations on engineering subjects such as science and discrete mathematics, probability/statistics; an ability to use theoretical and applied knowledge of these subjects together for engineering solutions, X
2 An ability to determine, describe, formulate and solve engineering problems; for this purpose, an ability to select and apply proper analytic and modeling methods,al background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situations X
3 An ability to select and use modern techniques and tools for engineering applications; an ability to use information technologies efficiently, X
4 An ability to analyze a system, a component or a process and design a system under real limits to meet desired needs; in this direction, an ability to apply modern design methods, X
5 An ability to design, conduct experiment, collect data, analyze and comment on the results and consciousness of becoming a volunteer on research, X
6 Understanding, awareness of administration, control, development and security/reliability issues about information technologies, X
7 An ability to work efficiently in multidisciplinary teams, self confidence to take responsibility, X
8 An ability to present himself/herself or a problem with oral/written techniques and have efficient communication skills; know at least one extra language, X
9 An awareness about importance of lifelong learning; an ability to update his/her knowledge continuously by means of following advances in science and technology, X
10 Understanding, practicing of professional and ethical responsibilities, an ability to disseminate this responsibility on society, X
11 An understanding of project management, workplace applications, health issues of laborers, environment and job safety; an awareness about legal consequences of engineering applications,
12 An understanding universal and local effects of engineering solutions; awareness of entrepreneurial and innovation and to have knowledge about contemporary problems. X

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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