GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
PARTIAL DIFFERENTIAL EQUATIONS I/MAT- 409
Course Title: PARTIAL DIFFERENTIAL EQUATIONS I
Credits 3 ECTS 5
Semester 7 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
   Prof.Dr.İbrahim Ethem ANAR
 -- WEB SITE(S) OF LECTURER(S)
   http://websitem.gazi.edu.tr/site/ethemanar
 -- EMAIL(S) OF LECTURER(S)
  ethemanar@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Teaching solution of the Cauchy problem
Teaching and obtaining integral surfaces and curves
Teaching of solutios of quasi linear p.d.e. in mathematichal physics
 -- 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
  Differential Equations, Analysis
 --COURSE CONTENT
1. Week   Surfaces and normals of surfaces. Implict function theorem. Curves and tangent of the curves
2. Week  Integral curves of vector fields.
3. Week   Methods of solution of system of quasi-linear equation
4. Week  Methods of solution of system of quasi-linear equation
5. Week   General solution of Linear equations
6. Week   General solution of Linear equations
7. Week   Constuction of an integral surface of a vector field containing a given curve
8. Week  Mid-Term Exam
9. Week   First order partial differential equations
10. Week   General integral of quasi-linear equations
11. Week  The initial value problem for quasi-linear first order equations. Existence and uniquness of Solutions.
12. Week   Nonexistence and nonuniquness of solutions. Kovalevsky theorem.
13. Week  Constant coefficients of linear partial differential tions
14. Week  Constant coefficients of linear partial differential tions
15. Week  Classification an canonical forms of second order p.d.e. in two independent variables.
16. Week   Final Exam
 -- RECOMMENDED OR REQUIRED READING
   Anar, İ. E. (2005) Kısmi Diferensiyel Denklemler
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer,
 -- WORK PLACEMENT(S)
   None
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
0
 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
0
0
0
 Reading
6
5
30
 Searching in Internet and Library
6
2
12
 Designing and Applying Materials
0
0
0
 Preparing Reports
0
0
0
 Preparing Presentation
1
10
10
 Presentation
1
2
2
 Mid-Term and Studying for Mid-Term
1
15
15
 Final and Studying for Final
1
15
15
 Other
0
0
0
 TOTAL WORKLOAD: 
126
 TOTAL WORKLOAD / 25: 
5.04
 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 give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
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
10To enable the student to gain the ability of relating mathematics with the other sciences.X