GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
PARTIAL DIFFERENTIAL EQUATIONS I/MAT4011
Course Title: PARTIAL DIFFERENTIAL EQUATIONS I
Credits 3 ECTS 5
Course Semester 7 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
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
 --WEEKLY SCHEDULE
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
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
0
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
0
0
 Reading Tasks
6
5
30
 Searching in Internet and Library
6
2
12
 Material Design and Implementation
0
0
0
 Report Preparing
0
0
0
 Preparing a Presentation
1
10
10
 Presentation
1
2
2
 Midterm Exam and Preperation for Midterm Exam
1
15
15
 Final Exam and Preperation for Final Exam
1
15
15
 Other (should be emphasized)
0
0
0
 TOTAL WORKLOAD: 
126
 TOTAL WORKLOAD / 25: 
5.04
 Course Credit (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
 -- NAME OF LECTURER(S)
   (Assoc. Prof. Dr. Ülkü Dinlemez Kantar)
 -- WEB SITE(S) OF LECTURER(S)
   (https://websitem.gazi.edu.tr/site/ulku)
 -- EMAIL(S) OF LECTURER(S)
   (-)