COURSE SYLLABUS

MATHEMATICS II

1	Course Title:	MATHEMATICS II
2	Course Code:	MAT1084
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	1
6	Semester:	2
7	ECTS Credits Allocated:	5
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
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:	Dr. Ögr. Üyesi AYSUN YURTTAŞ GÜNEŞ
16	Course Lecturers:	Matematik Bölümü Öğretim Üyeleri ve Öğretim Elemanları
17	Contactinformation of the Course Coordinator:	E-posta: ayurttas@uludag.edu.tr Telefon: +90 224 2941769 Adres: Uludağ Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü 16059 Görükle-Bursa-TÜRKİYE
18	Website:
19	Objective of the Course:	To teach indefinite integral, methods of indefinite integral, Properties 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 properties, convergence of real number sequences and series.
20	Contribution of the Course to Professional Development	It supplies the mathematical knowledge necessary for the students. Students are able to interpret and regulate data systematically.

Learning Outcomes:

1	He/ she recognizes the concept of the indefinite integral;;
2	He/ she applies the integral methods;;
3	He/ she calculates the definite integral of partial functions;;
4	He/ she calculates derivative of an integral;;
5	He/ she recognizes the definite integral;;
6	He/ she calculates area, length of arc, volume and surface area;;
7	He/ she recognizes the generalized integrals;;
8	He/ she interprets the properties of the generalized integrals;;
9	He/ she determines convergences of real number sequences;;
10	He/ she determines convergences of real number series;;

22	Course Content:

Week	Theoretical	Practical
1	Indefinite integrals, methods of integrals, changing variables
2	Some special changing variables
3	Partial integration
4	Seperation of the simple fractions, integral of trigonometric functions
5	Integral of Irrational algebric functions, Binom integrals
6	Definite integral
7	Calculation of area, Calculation of volume
8	Calculation of length of arc, Computation of surface area
9	Mid-term exam evaluation
10	The convergence criterions of generalized integrals
11	Real number sequences
12	Convergence of real number sequences
13	Convergence of real number series
14	Convergence tests for positive series.

23	Textbooks, References and/or Other Materials:	Calculus, İsmail Naci CANGÜL (Editör), Nobel Yayınları, 2012 Genel Matematik 1, Mustafa BALCI, Balcı Yayınları, 2008
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	The system of relative evaluation is applied.
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