COURSE SYLLABUS

ANALYSIS III

1	Course Title:	ANALYSIS III
2	Course Code:	İMT2007
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	3
7	ECTS Credits Allocated:	9
8	Theoretical (hour/week):	4
9	Practice (hour/week) :	2
10	Laboratory (hour/week) :	0
11	Prerequisites:
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:	y.Doç.Dr. bahtiyar bayraktar
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:	To gain the ability to examine and interpret the basic mathematical concepts and the theoretical structure of multi-variable functions.
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	Recognize highly variable functions, find definition regions, draw graphs.;
2	To learn how to define limit concepts for univariate functions for multivariable functions.;
3	To learn how to define concepts such as continuity for univariate functions for multivariable functions.;
4	To learn how concepts such as derivatives for univariate functions are defined for multivariable functions.;
5	Will be able to find the limits of multivariable functions.;
6	Will be able to examine the continuity of multivariable functions.;
7	They will be able to identify partial derivatives.;
8	They will have knowledge about partial derivative applications.;
9	Will be able to learn and calculate multiple integrals.;
10	Applications of multiple integrals: area, volume, etc. applications.;

22	Course Content:

Week	Theoretical	Practical
1	Multivariable function concept, function definition and value sets, graphical drawing.
2	Multivariable function concept, function definition and value sets, graphical drawing. Limit concept in two variable functions. Concept of limit and applications in two variable functions, concept of continuity.
3	Concept of limit and applications in two variable functions, concept of continuity. Limit concept in two variable functions. Concept of limit and applications in two variable functions, concept of continuity.
4	Concept of limit and applications in two variable functions, concept of continuity. Partial derivative in two variable functions. Partial derivative in two variable functions, differential concept, chain rule.
5	Partial derivative in two variable functions, differential concept, chain rule. Directional derivative in two variable functions, gradient.
6	Directional derivative in two variable functions, gradient. Local extremum values ??and applications.
7	Midterm
8	Midterm Absolute extremum values ??and applications
9	Absolute extremum values ??and applications Conditional extremum values ??and applications, Lagrange multipliers.
10	Conditional extremum values ??and applications, Lagrange multipliers. Two-level integral concept.
11	Two-level integral concept. Field calculations with two-fold integral. Volume calculations with two-layer integral
12	Volume calculations with two-layer integral Field calculations with two-fold integral. Volume calculations with two-layer integral
13	Volume calculations with two-layer integral Three-fold integral concept.
14	Three-fold integral concept. Triple integral applications

23	Textbooks, References and/or Other Materials:	1. Prof. Dr. Ahmet A. KARADENİZ Yüksek Matematik. Cilt 1, 2. 4. Baskı, 1985. 2. Prof Dr. Mustafa BAYRAKTAR Analize giriş I, II. 2. Baskı, 2008. 3. Prof. Dr. Mustafa BALCI, Analiz 1,2. 7. Baskı, 2008. 4. Doç. Dr. Ahmet TEKCAN, İleri Analiz. DORA 2010.
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

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	13	182
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	2	2
Others	0	0	0
Final Exams	1	2	2
Total WorkLoad			270
Total workload/ 30 hr			9
ECTS Credit of the Course			9

CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS

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

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High