1	Course Title:	ANALYSIS II
2	Course Code:	MAT1002
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	1
6	Semester:	2
7	ECTS Credits Allocated:	8
8	Theoretical (hour/week):	4
9	Practice (hour/week) :	2
10	Laboratory (hour/week) :	0
11	Prerequisites:	None
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. İSMAİL NACİ CANGÜL
16	Course Lecturers:	Prof. Dr. Sibel YALÇIN TOKGÖZ, Prof. Dr. Osman BİZİM, Prof. Dr. Ahmet TEKCAN, Prof. Dr. Musa DEMİRCİ, Doç. Dr. Hacer ÖZDEN, Doç. Dr. Elif YAŞAR
17	Contactinformation of the Course Coordinator:	E-posta: cangul@uludag.edu.tr Telefon: +90 224 2941756 Adres: Bursa Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle-Bursa-TÜRKİYE
18	Website:
19	Objective of the Course:	The aim of the course is to make the students gain the basic subjects of mathematics, to teach the notions of integrals, techniques of integration, applications of integration, further applications of integration, sequences, series and the related notions.
20	Contribution of the Course to Professional Development	It supplies the fundamental notions necessary for all the courses in Analysis group.

21

Learning Outcomes:

1 Data detection, evaluation and use the data on suitable places for problems.; 2 The students learn what does integral mean, how to calculate an integral and applications of integration.; 3 The students know how to solve a problem.;

22	Course Content:

Week	Theoretical	Practical
1	Finding a primitive of a function, Deifinition of Indefinite integral	Problems solving
2	Techniques of integration	Problems solving
3	Techniques of integration	Problems solving
4	Riemann Sums and Riemann Integral	Problems solving
5	Definite integral and its applications	Problems solving
6	The fundamental theorem of Calculus (Integral).	Problems solving
7	Improper integral (Generalized Integral)	Problems solving
8	Midterm examination and general review	Problems solving
9	Arclength of a curve	Problems solving
10	Area of solids obtained by revolving regions	Problems solving
11	Volume of solids obtained by revolving regions	Problems solving
12	Sequences and Series	Problems solving
13	Taylor series	Problems solving
14	Convergence of series

23	Textbooks, References and/or Other Materials:	1-A First Course in Calculus, Serge Lang, World Student Series Third Edition, Addison-Wesley Publishing Company. 2-Thomas Calculus, 11.Edition,Pearson Addison-Wesley Publishing Company -2005.
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	written exam
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	4	56
Practicals/Labs	14	2	28
Self Study and Preparation	13	8	104
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	10	10
Others	2	10	20
Final Exams	1	20	20
Total WorkLoad			248
Total workload/ 30 hr			7,93
ECTS Credit of the Course			8

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 LO1 0 4 4 0 5 4 0 0 0 0 0 0 LO2 0 4 4 0 4 3 0 0 0 0 0 0 LO3 0 4 4 0 4 4 0 0 0 0 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High