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, FenEdebiyat 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 
21  Learning Outcomes: 

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 
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  14  7  98 
Homeworks, Performances  0  0  0 
Projects  0  0  0 
Field Studies  0  0  0 
Midtermexams  1  20  20 
Others  0  0  0 
Final Exams  1  34  34 
Total WorkLoad  236  
Total workload/ 30 hr  7,87  
ECTS Credit of the Course  8 
26  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 