GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
PARTIAL DIFFERENTIAL EQUATIONS II/MAT3010
Course Title: PARTIAL DIFFERENTIAL EQUATIONS II
Credits 4 ECTS 5
Semester 6 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Asist.Prof. Kadir KANAT
 -- WEB SITE(S) OF LECTURER(S)
  http://www.websitem.gazi.edu.tr/site/kadirkanat
 -- EMAIL(S) OF LECTURER(S)
  kadirkanat@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
He/she recognizes some elementary harmonic functions.
He/she can solve boundary value problems Identified with the Laplace equations.
He/she can express and prove Notation theorem.
He/she defines Well-Posedness Dirichlet problem and
He/she can recognize the initial value problems and solve related problems.
He/she can solve initial-boundary value problem for one-dimensional heat equation.
 -- MODE OF DELIVERY
   The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
   There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
   There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Some elementary harmonic functions and the method of separation of variables
2. Week  Green identities.Boundary value problems defined with Laplace equation .
3. Week  Notation theorem.Mean value property for harmonic functions and maximum principle.
4. Week  Notation theorem.Mean value property for harmonic functions and maximum principle.
5. Week  Well-Posedness Dirichlet problem.Dirichlet problem and the Poisson integral in the circular region.
6. Week  Some solutions of the wave equation.Plane and spherical waves.
7. Week  Some solutions of the wave equation.Plane and spherical waves.
8. Week  Midterm exam
9. Week  The initial value problem.
10. Week  The vibrating string
11. Week  A finite rod heat conductivity.
12. Week  The solution of the initial-boundary value problems for one-dimensional heat equation.
13. Week  The solution of the initial-boundary value problems for one-dimensional heat equation.
14. Week  Initial value problem for one-dimensional heat equation.
15. Week  Initial value problem for one-dimensional heat equation.
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
   Anar, İ. E. (2005) Kısmi Diferensiyel Denklemler
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
3
42
 Practising Hours of Course Per Week
14
2
28
 Reading
0
 Searching in Internet and Library
5
2
10
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
3
2
6
 Presentation
1
2
2
 Mid-Term and Studying for Mid-Term
6
2
12
 Final and Studying for Final
8
2
16
 Other
7
2
14
 TOTAL WORKLOAD: 
130
 TOTAL WORKLOAD / 25: 
5.2
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To train individuals who are equipped with enough mathematicsX
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing,X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial,X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods,X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information,X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector,X
9To gain substructure to be able to study at graduate level.X
10The skill to have professional and ethical responsibilityX