1	Course Title:	MATHEMATICS II
2	Course Code:	İMT1006
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	1
6	Semester:	2
7	ECTS Credits Allocated:	7
8	Theoretical (hour/week):	2
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:	Dr. Ögr. Üyesi BAHTİYAR BAYRAKTAR
16	Course Lecturers:
17	Contactinformation of the Course Coordinator:	E-mail: bbayraktar@uludag.edu.tr, İş Tel: +90(224) 294 22 98. Adres: UÜ, Eğitim Fakültesi, İlköğretim Bölümü, Matematik Eğitimi Anabilim Dalı, 16059 Görükle / BURSA
18	Website:
19	Objective of the Course:	The purpose of the course is to comprehend the importance of mathematics and the basic notions of the mathematical concepts, plus to gain practice skills in this specialty.
20	Contribution of the Course to Professional Development

21

Learning Outcomes:

1 Maximum-minimum problems can be solved. ; 2 Exponential uncertainties are known. ; 3 Graphic drawings are made. ; 4 The indefinite integral can be defined. ; 5 Techniques of integration are learnt.; 6 Different types of the integral function can be taken with the help of methods of integration.; 7 Properties of definite integrals are known.; 8 Area and volume calculations using the definite integral can be made. ; 9 Concept of matrix is known. Operations related with matrices can be made. ; 10 Systems of linear equations can be solved. ;

22	Course Content:

Week	Theoretical	Practical
1	Absolute maximum and absolute minimum values of a function. Problem solving.	Absolute maximum and absolute minimum values of a function. Problem solving.
2	Indefinite integrals. Integration techniques.	Indefinite integrals. Integration techniques.
3	3 Indefinite integrals. Change of variables. Indefinite integrals. Change of variables.	3 Indefinite integrals. Change of variables. Indefinite integrals. Change of variables.
4	Indefinite integrals. Techniques of integration. Partial integration. Usage of trigonometric equations. Integration of rational functions	Indefinite integrals. Techniques of integration. Partial integration. Usage of trigonometric equations. Integration of rational functions.
5	Indefinite integrals. Techniques of integration. Usage of trigonometric equations. Integration of rational functions	Indefinite integrals. Techniques of integration. Usage of trigonometric equations. Integration of rational functions
6	Indefinite integrals. Techniques of integration. Integration of rational functions	Techniques of integration. Integration of rational functions
7	The concept of definite integral. Lower, Upper and Riemann sums. Leibnitz- Newton Formula. Its Specifications. Average value theorem.	Calculation of definite integral
8	Techniques of integral calculus. Change of variables. Partial integration.	Techniques of integral calculus.
9	Area volume and curve lengths calculations with the definite integral	Area, volume and curve lengths calculations with the definite integral
10	Area, volume and curve lengths calculations with the definite integral	Area, volume and curve lengths calculations with the definite integral
11	Improper integrals.	Improper integrals.
12	The concept of matrix and determinant. Matrix algebra.	Matrix algebra.
13	Systems of linear equations. Solutions of linear systems.	Systems of linear equations. Solutions of linear systems.
14	Systems of linear equations and matrices	Systems of linear equations and matrices

23	Textbooks, References and/or Other Materials:	1. Prof. Dr. Hilmi HACISALIHOGLU, Assoc. Dr. M. BALCI. Basic and General Mathematics. Volume I, 4th Edition. Ankara, 1988. 2. Linear algebra lecture notes, Fuat ERGEZEN: http://www.mat.itu.edu.tr/ergezen/lineer.aspx 3. Linear algebra lecture notes, Ayten KOC: http://www.matemasuk.com/dersnotlari/lineercebir_matrisler.PDF
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	2	28
Practicals/Labs	14	2	28
Self Study and Preparation	14	9	126
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	8	8
Others	0	0	0
Final Exams	1	20	20
Total WorkLoad			210
Total workload/ 30 hr			7
ECTS Credit of the Course			7

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CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 PQ13 PQ14 PQ15 PQ16 LO1 2 5 0 0 5 0 0 0 0 4 0 0 3 0 3 4 LO2 1 2 0 0 1 0 0 0 0 1 0 0 2 0 1 1 LO3 3 5 0 0 4 0 0 0 0 4 0 0 4 0 3 4 LO4 1 3 0 0 1 0 0 0 0 3 0 0 3 0 2 2 LO5 1 2 0 0 3 0 0 0 0 3 0 0 3 0 2 2 LO6 1 2 0 0 3 0 0 0 0 2 0 0 3 0 2 2 LO7 1 2 0 0 3 0 0 0 0 4 0 0 3 0 1 3 LO8 1 5 0 0 4 0 0 0 0 4 0 0 3 0 3 4 LO9 1 5 0 0 4 0 0 0 0 3 0 0 4 0 2 4 LO10 1 5 0 0 4 0 0 0 0 4 0 0 3 0 3 4

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High