COURSE SYLLABUS

DIFFERENTIAL EQUATIONS

1	Course Title:	DIFFERENTIAL EQUATIONS
2	Course Code:	MAT2083
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	3
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:	Dr. Ögr. Üyesi NISA ÇELİK
16	Course Lecturers:	Prof.Dr.Sezai HIZLIYEL Prof.Dr.Emrullah YAŞAR Doç.Dr. Yeşim Sağlam ÖZKAN Doç.Dr. Arzu AKBULUT Dr.Öğr.Üyesi Nisa ÇELİK
17	Contactinformation of the Course Coordinator:	e-posta:nisa@uludag.edu.tr Telefon:0224 2941764 Adres:U.Ü Fen-Edb. Fak. Mat. Böl. B102 Görükle Bursa
18	Website:
19	Objective of the Course:	Obtaining of the solutions of differential equations occuring mathematics, physics engineering.
20	Contribution of the Course to Professional Development	Students can set up mathematical models at the beginner level. Solve equations containing derivatives.

Learning Outcomes:

1	The modelling of some events as differential equations.;
2	Solving of first order differential equations.;
3	Solving of first order and higher degree differential equations.;
4	Understanding the theory of linear differential equations of order n .;
5	Knows the method of solutions of linear differential equation with constant coefficient.;
6	Knows the method of solutions of linear differential equation with variable coefficient.;
7	Knows the method of solution of nonlinear differential equations of higher order.;

22	Course Content:

Week	Theoretical	Practical
1	General concepts and classification, First order equations	Applications of theory..
2	Seperable equations, Exact equations	Applications of theory..
3	Integrating factor, First order linear equations,	Applications of theory..
4	Change of variable; Homogeneous equations , Bernoulli equations, Riccati equations	Applications of theory..
5	Exsistence and uniqueness theorems ,applications of first order differential equation	Applications of theory..
6	High degree of first-order equations,	Applications of theory..
7	n.th order theory of linear differential equations with constant coefficient :The method of undetermined coefficients	Applications of theory..
8	Factorization of operator,The method of variation of parameters	Applications of theory..
9	Repeating a course	Applications of theory..
10	Reduction of order, Cauchy- Euler equations	Applications of theory..
11	Laplace transformation; basic definition and theorems	Applications of theory..
12	Laplace transform solutions of initial value problems	Applications of theory..
13	Power series Method; solution around ordinary and regular-singular points	Applications of theory..
14	Systems of linear differential equations; fundamental theory and solutions, Solutions using Laplace transformation.	Applications of theory..

23	Textbooks, References and/or Other Materials:	Adi Diferensiyel Denklemler Prof. Dr. Mehmet ÇAĞLIYAN Yrd.Doç.Dr. Nisa ÇELİK Yrd.Doç.Dr. Setenay DOĞAN
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	The system of relative evaluation is applied.
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