COURSE SYLLABUS

PARTIAL DIFFERANTIAL EQUATIONS ELECTIVE

1	Course Title:	PARTIAL DIFFERANTIAL EQUATIONS ELECTIVE
2	Course Code:	MAT3017
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	3
6	Semester:	5
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	2
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. MEHMET ÇAĞLIYAN
16	Course Lecturers:	Yrd.Doç.Dr. Sezayi HIZLIYEL
17	Contactinformation of the Course Coordinator:	caglayan@uludag.edu.tr, 0-224-2941752 Uludağ Ünv. Fen Ed. Fakültesi Matematik Bölümü Görükle Yerleşkesi 16059 Nilüfer/Bursa
18	Website:
19	Objective of the Course:	The aim of the course is to give systematically partial diffrential equations that arise in many areas of science and engineering
20	Contribution of the Course to Professional Development

Learning Outcomes:

1	Understands the importance of partial differential equations occurring in science and engineering.;
2	Classification to partial differential equations;
3	Solves the first-order partial differential equations;
4	To obtain a exact integral of a first-order partial differential equation;
5	solves the second and higher order homogeneous linear partial differential equations with constant coefficients;
6	Classifies second-order equations;

22	Course Content:

Week	Theoretical	Practical
1	Region, surfaces and curves in three-dimensional space	Normal to a surface, the intersection of the curves of the two surfaces
2	First order and first degree systems with three-variable	Obtain the solutions
3	Curves formed by the integral curves of a given surface	Example solutions
4	Pfaff differential equation with two and three variable	The geometrical meaning of Integrability
5	Pfaff differential equation in three variables to obtain solutions	Specific methods for obtaining solutions
6	The clasification of first-order partial differential equations and the concept of solution	Formation of first-order partial differential equations
7	Characteristic curves and the Cauchy problem	General solution
8	Repeating courses and midterm exam	exact integral
9	The general equation of first order	To obtain the exact integral (Charpit Method)
10	compatible systems	Reducible and irreducible equations
11	The second and higher order homogeneous linear partial differential equations with constant coefficients	To obtain special solutions of inhomogeneous linear partial differential equations
12	The second and higher order non-homogeneous linear partial differential equations with constant coefficients	Reducing to canonical form
13	Classification of second order equations (hyperbolic, parabolic and elliptic equations.)	The necessity of classification
14	The Cauchy problem and the characteristic curves

23	Textbooks, References and/or Other Materials:	Prof.Dr. Mehmet ÇAĞLIYAN, Okay Çelebi Kısmi Diferensiyel Denklemler, Vipaş Bursa 2002.
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