1	Course Title:	CALCULUS II (INTEGRAL CALCULATIONS )
2	Course Code:	MAT1082
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:	There are no prerequisites.
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Doç.Dr. ESEN İYİGÜN
16	Course Lecturers:	Prof.Dr.Kadri Arslan Yrd.Doç.Dr.Sezayi Hızlıyel
17	Contactinformation of the Course Coordinator:	e-mail: esen@uludag.edu.tr phone: 0.224.2941766 address: Uludağ University, Art and Science Faculty, Department of Mathematics,16059, Bursa.
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

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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	The indefinite integral and continuous functions.	Problems solving.
2	Upper and lower sums and the fundamental theorems.	Problems solving.
3	Definite integral and Riemann sums.	Problems solving.
4	Inequalities and improper integrals.	Problems solving.
5	Substitution, integration by parts and partial fractions.	Problems solving.
6	Trigonometric integrals, binomial integrals, exponential substitutions.	Problems solving.
7	Account the length of the curve and volume calculation.	Problems solving.
8	Midterm Exam+Repeating courses	Problems solving.
9	Area and volume calculation of surfaces of revolution	Problems solving.
10	Account area and arc length in polar coordinates	Problems solving.
11	Sequences ve convergence of sequences.	Problems solving.
12	Series, series with positive terms, the ratio test, alterne series,power series, the integral test and taylor series.	Problems solving.
13	Multiple integrals.	Problems solving.
14	Applications of multiple integrals.

23	Textbooks, References and/or Other Materials:	1. Prof. Dr.Mustafa Balcı, 2003, Genel Matematik I, Balcı Yayınları,Cilt I, 2.Baskı, ISBN-975-6683-00-7,Ankara,418 s. 2. Serge Lang, 1980, A First Course in Calculus, Fourth Edition, ISBN 0-201-04148-0, Yale University, 524 s. 3. H.Hilmi Hacısalihoğlu, Mustafa Balcı, Fikri Gökdal, 1988, Temel ve Genel Matematik, Cilt I, 3. Baskı, Ankara, 678 s.
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	14	1	14
Field Studies	0	0	0
Midtermexams	1	10	10
Others	14	3	42
Final Exams	1	16	16
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 LO1 5 5 4 0 4 0 0 3 0 0 0 LO2 5 4 3 0 4 0 0 0 0 0 0 LO3 5 5 5 4 5 0 0 4 0 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High