COURSE SYLLABUS

INTEGRAL TRANSFORMATIONS

1	Course Title:	INTEGRAL TRANSFORMATIONS
2	Course Code:	MAT3050
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	3
6	Semester:	6
7	ECTS Credits Allocated:	5
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	Differential Equations I Differential Equations II
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. MEHMET ÇAĞLIYAN
16	Course Lecturers:
17	Contactinformation of the Course Coordinator:	nisa@uludag.edu.tr 0-224-2941764 U.Ü. Fen-Ed. Fak. Mat. Böl. Görükle Yerleşkesi Nilüfer/BURSA
18	Website:
19	Objective of the Course:	Obtaining of the solutions of ordinary and some partial differential equations occuring mathematics, physics engineering with Laplace transformations.
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	Knows Laplace transformations.;
2	Knows inverse Laplace transformations;
3	Applied Laplace transformations to differentiai equations.;
4	Applied Laplace transformations to ordinary differentiai equation systems.;
5	Calculates Laplace and inverse Laplace transformations with Maple.;
6	Solves differential equations with Laplace and inverse Laplace transformations using Maple.;

22	Course Content:

Week	Theoretical	Practical
1	Laplace transforms, definations, theorems.
2	Some important properties of Laplace transforms. Calculates of Laplace transforms.
3	Defination of the Inverse Laplace transforms. Some important properties of inverse Laplace transforms.
4	Partial fractions methos, convolution property.
5	Applications to differential equations with constant coefficients of Laplace transforms
6	. Applications to differential equations with variable coefficients of Laplace transforms
7	Differential equations which has discontinuous rigt hand side. Periodic functions
8	Repeating courses and midterm exam
9	The Heaviside functions, Dirac delta function.
10	Applications to differential equation systems with constant coefficients of Laplace transforms
11	Applications to some partial differential equations with constant coefficients of Laplace transforms
12	Calculates of Laplace transforms and inverse Laplace transforms with Maple.
13	Solves differential equations with Laplace and inverse Laplace transformations using Maple.
14	General exercises.

23	Textbooks, References and/or Other Materials:	Adi Diferensiyel Denklemler. Prof. Mehmet ÇAĞLIYAN Assist.Prof. Nisa ÇELİK Assist.Prof. 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
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