1	Course Title:	ANALYSIS I
2	Course Code:	MAT1001
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	1
6	Semester:	1
7	ECTS Credits Allocated:	8
8	Theoretical (hour/week):	4
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:	Prof. Dr. İSMAİL NACİ CANGÜL
16	Course Lecturers:	Prof. Dr. Metin ÖZTÜRK, Prof. Dr. Sibel YALÇIN TOKGÖZ, Prof. Dr. Osman BİZİM, Doç. Dr. Ahmet TEKCAN, Yrd. Doç. Dr. Musa DEMİRCİ, Yrd. Doç. Dr. Hacer ÖZDEN
17	Contactinformation of the Course Coordinator:	cangul@uludag.edu.tr, 0224 2941756, Fen-Edebiyat Fakültesi, Matematik Bölümü, 16059, Görükle / Bursa
18	Website:	http://homepage.uludag.edu.tr/~cangul/derslerim.html
19	Objective of the Course:	To give the notions such as function, sequence, limit, continuity and derivative in detail
20	Contribution of the Course to Professional Development

21

Learning Outcomes:

1 Knows the fundamental notions of Analysis; 2 Can apply the fundamental notions of Analysis; 3 Can comment on the fundamental notions of Analysis geometrically, physically, etc.; 4 Can transfer between cartesian, polar and parametric coordinate systems and can differentiate the differences ; 5 Knows the origins and history of the main notions ; 6 Knows the corresponding English meanings of the main notions ;

22	Course Content:

Week	Theoretical	Practical
1	Sets	Examples of sets and set operations
2	Numbers	Examples of number sets
3	Relations and Functions	Examples of relations and functions, operations of functions
4	Sequences	Examples of sequences, subsequences, calculation of the terms of the sequence, limit of a sequence, arithmetic and geometric sequences
5	Limit	Calculation of limit in real numbers and extended real numbers
6	Indefinite cases	Examples of indefinite cases
7	Differential and approximation	Use of differential in approximations
8	Definition of derivative	Examples of basic derivation rules
9	Midterm exam and general review	General review
10	Geometric and physical meaning of derivative, higher order derivatives	Slope, tangent and normal line, examples of relations between speed, acceleration and length of motion
11	Derivatives of implicit and inverse functions, extremum problems	Examples of extremum problems
12	Increasing-decreasing functions, inflection points	Examples of increasing-decreasing functions and inflection points
13	Other applications of derivative	Examples of applications of derivative in other areas
14	Drawing graphs of rational functions	Examples of drawing graphs of rational functions and briefly other functions

23	Textbooks, References and/or Other Materials:	Calculus, İsmail Naci CANGÜL (Editör), Nobel Yayınları, 2012 Genel Matematik I, Osman BİZİM, Betül GEZER, Ahmet TEKCAN, Dora Yayınları, 2011
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	4	56
Practicals/Labs	14	2	28
Self Study and Preparation	14	7	98
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	20	20
Others	0	0	0
Final Exams	1	34	34
Total WorkLoad			236
Total workload/ 30 hr			7,87
ECTS Credit of the Course			8

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 5 0 0 5 0 0 0 0 0 0 LO2 5 0 0 5 0 0 5 4 0 0 LO3 5 3 0 0 5 0 2 4 0 3 LO4 2 4 0 0 5 0 2 5 0 0 LO5 0 0 0 0 5 0 0 2 0 3 LO6 0 0 0 0 0 5 0 0 0 3

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High