GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
PARTIAL DIFFERENTIAL EQUATIONS I/MAT3009
Course Title: PARTIAL DIFFERENTIAL EQUATIONS I
Credits 4 ECTS 5
Semester 5 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 defines the vector field and finds the integral curves of a vector field.
He/she classifies and solves Partial Differential Equations systems.
He/she has knowledge about establishment of integral surface of a vector field passing through a given curve.
He/she can solve the problems about Characteristic curves and surfaces.
He/she can examine and classify the second order linear partial differential equations with two variables.
He/she can define the Cauchy problem and solve related problems.
 -- 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  Surfaces and their normals. Implicit function theorem.Curves and tangents of the curves.
2. Week  Integral curves of vector fields
3. Week  Methods for solution of semi-linear system of equations.
4. Week  Methods for solution of semi-linear system of equations.
5. Week  General solution of linear equations
6. Week  General solution of linear equations
7. Week  Establishment of integral surface of a vector field passing through a given curve
8. Week  Midterm exam
9. Week  First order partial differential equations.
10. Week  General integral of semi-linear equation.
11. Week  The initial value problem for first order semi-linear equations.Existence and uniqueness of solution
12. Week  The absence of the solution and absence a unique solution.Kovalewsky theorem.
13. Week  The first-order nonlinear partial differential equations.
14. Week  Linear partial differential operators.Characteristic curves and surfaces.Linear partial differential equations with constant coefficients.
15. Week  The second order linear partial differential equations with two variables.Cauchy problem.
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