1	Course Title:	CALCULUS II (INTEGRAL CALCULATIONS )
2	Course Code:	MAT1072
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	1
6	Semester:	2
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	2
10	Laboratory (hour/week) :	0
11	Prerequisites:	-
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. SÜLEYMAN ÇİFTÇİ
16	Course Lecturers:	Matematik bölümünün tüm öğretim üyesi ve öğretim görevlileri
17	Contactinformation of the Course Coordinator:	E-posta: sciftci@uludag.edu.tr Telefon: +90 224 2941754 Adres: Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle-Bursa-TÜRKİYE
18	Website:
19	Objective of the Course:	is to give sufficient mathematics knowledge to solve engineering problems to students and also to improve the ability of finding solution to problems and analytical thinking.
20	Contribution of the Course to Professional Development

21

Learning Outcomes:

1 Knows the concept of integral; 2 Learns the rules of calculating integral ; 3 Calculates integral of functions ; 4 Learns the applications of integral ; 5 Knows the concept of serie ; 6 Determines whether a serie is convergent or not ; 7 Knows power series. ; 8 Knows some basic definitons and theorems of mathematics ;

22	Course Content:

Week	Theoretical	Practical
1	The indefinite integral,area.	Solving problem
2	Upper and lower sums	Solving problem
3	The fundamental theorem of integration	Solving problem
4	Inequalities and improper integrals	Solving problem
5	Techniques of integration	Solving problem
6	Techniques of integration	Solving problem
7	Applications of integratin(length of curves,surface of revolution)	Solving problem
8	Midterm exam and evaluation of midterm exam, repeat of previous subjects	Solving problem
9	Applications of integratin(volumes of revolution,work and center of gravity).	Solving problem
10	Taylor’s formula and estimate for the remainder	Solving problem
11	Convergent series,series with positive terms.	Solving problem
12	Convergence Tests	Solving problem
13	Power series	Solving problem
14	Differentiation and integration of power series and their some applications	Solving problem

23	Textbooks, References and/or Other Materials:	1-A First Course in Calculus, Serge Lang, World Student Series Third Edition, Addison-Wesley Publishing Company, ISBN:0-201-04148-0 2-Thomas Calculus, 11.Edition,Pearson Addison-Wesley Publishing Company -2005 3) Temel Matematik, Basri Çelik, İsmail Naci Cangül, Nisa Çelik, Osman Bizim, Metin Öztürk; Dora Yayınları, 2010 4) Genel Matematik, Mustafa Balcı, Balcı yayınları, 2003. 5) Genel Matematik (Diferensiyel ve İntegral Hesap), Ahmet Tekcan, Betül Gezer, Osman Bizim; Dora Yayınları, 2011
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course
Information

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ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	14	2	28
Self Study and Preparation	14	2	28
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	13	13
Others	14	4	56
Final Exams	1	13	13
Total WorkLoad			180
Total workload/ 30 hr			6
ECTS Credit of the Course			6

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 PQ13 PQ14 LO1 4 3 3 1 3 1 1 1 1 1 1 1 1 1 LO2 4 3 2 1 3 2 1 2 1 1 1 1 1 1 LO3 5 4 4 2 4 2 1 2 1 1 1 1 1 1 LO4 5 4 3 2 3 2 1 1 1 1 1 1 1 1 LO5 5 3 4 2 3 2 1 1 1 1 1 1 1 1 LO6 5 3 3 2 3 2 1 1 1 1 1 1 1 1 LO7 4 2 2 1 2 2 1 1 1 1 1 1 1 1 LO8 5 3 4 2 3 2 1 1 1 1 1 1 1 1

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High