COURSE SYLLABUS

ANALYSIS I

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:	There are no prerequisites.
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. ESEN İYİGÜN
16	Course Lecturers:	Yrd.Doç.Dr.Musa Demirci Yrd.Doç.Dr.Sezayi Hızlıyel Yrd.Doç.Dr.Hacer Özden
17	Contactinformation of the Course Coordinator:	e-posta: esen@uludag.edu.tr telefon: 0.224.2941766 adres: Uludağ Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, 16059, Görükle Kampüsü, Bursa
18	Website:
19	Objective of the Course:	To train students in understanding of numbers, inequalities, functions and powers. To provide experience in drawing the graph of a curves. To train students in understanding of derivative and rules of derivative. To give knowledge on compute limit. To train students in establishing mathematical modelling of some problems. To provide experience in some special functions.
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	Knows the corresponding mathematical models to bring up to date problems.Mathematics is a whole, is not the only solution of the problems you learn to reach different methods of solving the problem.;
2	Recognise numbers, inequalities and functions.;
3	Learns in drawing the graph of a curve.;
4	Learns derivative, limit and continuity.;
5	Learns maximum and minimum problems, increasing and decreasing functions.;
6	Learns indeterminate forms and differential.;
7	Learn how to take the derivative of some special functions.;

22	Course Content:

Week	Theoretical	Practical
1	Numbers and Inequalities	Solved number and inequality examples.
2	Functions	Function examples given.
3	Graphs	Graphs were drawn.
4	Curves and equations	Examples of the curve and the equation is solved.
5	Limit and Continuity	Were given examples of limit and continuity.
6	The derivative	Examples of derivatives are solved.
7	Higher derivatives and the chain rule	Examples were given of higher order derivatives and the chain rule.
8	Midterm Exam + Repeating courses	Graphs were drawn of them by giving examples of trigonometric functions.
9	Trigonometric functions, their graphs and properties	Examples were given the maximum and minimum problems, increasing and decreasing function examples were solved and examples related to the mean value theorem.
10	The maximum and minimum problems, increasing and decreasing functions, the mean value theorem	Indeterminate forms, polar coordinates and parametric curves were given examples of.
11	Indeterminate forms, Polar coordinates, Parametric curves	Examples were given of differential and curve sketching.
12	Differential, Curve sketching,	Examples of derivatives of hyperbolic and inverse functions are solved.
13	Hyperbolic and Inverse functions and their derivatives.	Exponential and logarithmic functions derivatives examples were given.
14	Exponents and Logarithm functions and their derivatives.

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. 4. Thomas Calculus, 11.Edition,Pearson Addison-Wesley Publishing Company -2005. 5. James Stewart TÜBA YAYINLARI Kalkülüs Diferansiyel ve İntegral Hesap 2010. ISBN:9758593943
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

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