GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS BY FINITE DIFFERENCE METHOD/6341305
Course Title: NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS BY FINITE DIFFERENCE METHOD
Credits 3 ECTS 7.5
Semester 1 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assoc.Prof. Fatma AYAZ
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/fayaz
 -- EMAIL(S) OF LECTURER(S)
  fayaz@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Learning how to solve initial and boundary value problem approximately even tehere no analytical solutions.
The importance of using computers in many fields such as mathematics, engineering and etc. are also shown effectively.
Content of the lecture is associated with the other areas of mathematics such as algebra, analysis etc.
Students have gained knowledge about computer programming and preparing algorithms.
Put emphasis on the relations between differential equations and mathematical models.
 -- 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
  Ordinary and Partial Differential Equations
 --COURSE CONTENT
1. Week  Introduction and Finite Difference Formulae Descriptive treatment of elliptic Equations
2. Week  Descriptive treatment of Parabolic and Hyperbolic Equations
3. Week  Finite Difference Approximations to derivatives
4. Week  Notation for functions of severeal variables
5. Week  Parabolic Equations:Finite Difference Method, Convergence and Satability
6. Week  Transformation to non-dimensional form
7. Week  An Explicit finite-difference approximation to heat equation
8. Week  Mid-Term Exam
9. Week  Crank-Nicholsan Implicit method
10. Week  Solution of the implicit equations by Gauss's Elimination method
11. Week  The stability of the elimination method
12. Week  A weighted average approximation
13. Week  Derivative boundary conditions
14. Week  Worked Examples including comparison tables
15. Week  The local Truncation Error
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  Difference Methods, G.D. Smith, Clarendon Press-Oxford, Third edition
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  None
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
1
10
 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
 Reading
4
12
48
 Searching in Internet and Library
4
12
48
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
1
15
15
 Presentation
1
5
5
 Mid-Term and Studying for Mid-Term
1
15
15
 Final and Studying for Final
1
15
15
 Other
0
 TOTAL WORKLOAD: 
188
 TOTAL WORKLOAD / 25: 
7.52
 ECTS: 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To be able to develop their knowledge of theory and applications at master degree depending on the competencies acquired in undergraduate level.X
2To be able to recognize different problems encountered in mathematics and to be able to make studies for their solutions.X
3To be able to formulate new solutions with scientific methods mostly based on analysis and synthesis.X
4To be able to carry out his/her works either independently or in groups within a project considering his/her knowledge on the field he/she works in a critical approach.X
5To be able to continue his/her works considering social, scientific and ethical values.X
6To be able to follow scientific and social developments related to his/her field.X
7To be able to carry out his/her works within the framework of quality management, workplace safety and environmental awareness and to be able to present systematically his/her works using various methods like written, oral or visual.X
8To be able to use methods of accessing knowledge effectively in accordance with ethical values.X
9To be able to use knowledge in other disciplines by combining it with mathematical information.X
10To be able to make activities in the awareness of need for lifelong learning.X
11To be able to make connections between mathematical and social concepts and produce solutions with scientific methods.X
12To be able to use his/her mathematical knowledge in technology.X