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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 Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice X
2 Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situations X
3 Engineering graduates with the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.
4 Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologies
5 Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions
6 Ability of identifying the potential resources for information or knowledge regarding a given engineering issue
7 The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidence
8 Ability for effective oral and official communication skills in Turkish Language and, at minimum, one foreign language
9 Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology
10 Engineering graduates with well-structured responsibilities in profession and ethics
11 Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues

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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