COURSE SYLLABUS

ANALYSIS II

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. Metin ÖZTÜRK, Prof. Dr. Sibel YALÇIN TOKGÖZ, Prof. Dr. Osman BİZİM, Doç. Dr. Ahmet TEKCAN, Yrd. Doç. Dr. Musa DEMİRCİ, Yrd. Doç. Dr. Hacer ÖZDEN
17	Contactinformation of the Course Coordinator:	cangul@uludag.edu.tr, 0224 2941756, Fen-Edebiyat Fakültesi, Matematik Bölümü, 16059, Görükle / Bursa
18	Website:
19	Objective of the Course:	To give the notion of integral, applications of integral together with sequences and series including power series
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	Knows the notion of integral;
2	Knows integral applications;
3	Can obtain power series expansion of a given function;
4	Knows the notions of sequence and series and makes their applications ;
5	Can transfer between cartesian, polar and parametric coordinate systems and can differentiate the differences ;
6	Knows the origins and history of the main notions;
7	Knows the corresponding English meanings of the main notions;

22	Course Content:

Week	Theoretical	Practical
1	Definition of indefinite integral, basic notions	Applications of the definition
2	Basic integration rules	Applications of basic integration rules
3	Change of variables, partial integration	Examples of change of variables and partial integration
4	Seperating into simple fractions, trigonometric variable changes	Examples of seperating into simple fractions and trigonometric variable changes
5	Binomial integrals, fundamental theorems of integral	Examples of Binomial integrals, applications of the fundamental theorems of integral
6	Definition of definite integral, basic notions	Applications of basic notions
7	Upper and lower sums, Riemann integral	Calculation of upper and lower sums for several functions, finding Riemann integral
8	Arc length and area	Examples of arc length and area calculations
9	Midterm exam and general review	Mixed examples
10	Area and volume of revolutionary surfaces	Examples of calculating area and volume of revolutionary surfaces
11	Sequences, properties of sequences, subsequences, limit of a sequence	Examples of sequences, finding subsequences, calculating limits
12	Series, special series	Calculations with series, examples of arithmetic and geometric series
13	Convergency tests	Examples of convergency tests
14	Power series, expansion of a function into a power series, approximation	Examples of power series, examples of expansion of a function into a power series, use of this expansion in approxiamation

23	Textbooks, References and/or Other Materials:	Calculus, İsmail Naci CANGÜL (Editör), Nobel Yayınları, 2012 Genel Matematik II, Osman BİZİM, Betül GEZER, Ahmet TEKCAN, 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

ECTS / WORK LOAD TABLE

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High