COURSE SYLLABUS

CALCULUS II

1	Course Title:	CALCULUS II
2	Course Code:	MAT1072
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:	None
12	Recommended optional programme components:	None
13	Language:	English
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. İSMAİL NACİ CANGÜL
16	Course Lecturers:	Matematik bölümünün tüm öğretim üyesi ve öğretim görevlileri
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:	is to give sufficient mathematics knowledge to solve engineering problems to students and also to improve the ability of finding solution to problems and analytical thinking.
20	Contribution of the Course to Professional Development	It gives the mathematical knowledge needed by engineers.

Learning Outcomes:

1	To prepare the basic infrastructure of Mathematics. ;
2	Introduce the important theorems of mathematics and its applications ;
3	Effectively learn how to use mathematics in solving engineering problems. ;
4	Integral and its applications of the calculations to know ;
5	Create mathematical background for other courses. ;

22	Course Content:

Week	Theoretical	Practical
1	The indefinite integral and its properties.	Examples of the indefinite integral.
2	Methods of indefinite integral	Examples of the methods of indefinite integral.
3	Applications of indefinite integral	Examples of the applications of indefinite integral.
4	The definite integral and its properties	Examples of the definite integral
5	Riemann sums, Riemann integral and its properties	Examples of the Riemann sums and Riemann integral
6	The fundamental theorems of integral calculus	Examples of the the fundamental theorems of integral calculus
7	The methods of numerical integral	Examples of the methods of numerical integral
8	The improper integral and its properties	Examples of the improper integral.
9	The applications of definite integral and area	Examples of the applications of definite integral
10	The volumes and length of a plane curve	Examples of the volumes and length of a plane curve
11	The area of surface of revolution, moments and center of mass	Examples of the area of surface of revolution, moments and center of mass
12	The sequences, series and their properties	Examples of the sequences and series
13	Tests for convergence of series, alternating series	Examples of the tests for convergence of series
14	The power series and representation of functions by power series.	Examples of the The power series and representation of functions by power series

23	Textbooks, References and/or Other Materials:	Genel Matematik, Diferensiyel ve İntegral Hesap, O. Bizim, A. Tekcan, B. Gezer. Calculus Concepts and Contexts, J. S. Stewart Calculus and Analytic Geometry, G. B. Thomas, R. L. Finney
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	2	50
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	50
Total	3	100
Contribution of Term (Year) Learning Activities to Success Grade		50
Contribution of Final Exam to Success Grade		50
Total		100
Measurement and Evaluation Techniques Used in the Course	written exam
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