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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 Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. X
2 Ability to identify formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. X
3 Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues, according to the nature of the design.)
4 Ability to devise, select, and use modem techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
5 Ability to design and conduct experiments, gather data analyze and interpret results for investigating complex engineering problems or discipline specific research questions.
6 Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7 Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.
8 Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9 Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
10 Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11 Knowledge about the global and social effects of engineering practice on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.

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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