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	0	ECTS	7.5
Course Semester	1	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

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

--WEEKLY SCHEDULE
1. Week	parabolic equations: Alternative Derivation of difference Equations
2. Week	Reduction to system of ordinary equations
3. Week	Pade Aproximation to Exp Function
4. Week	Standard finite-difference equations via the Pade approximation
5. Week	Crank-Nicholson method
6. Week	Sybmol for the extrapolation method
7. Week	The Local truncation errors and symbols of extrapolation schemas
8. Week	Eigenvalue- Eigenvector solutions of a system of ordinary differential equations
9. Week	Eigenvalue- Eigenvector solutions of a system of ordinary differential equations
10. Week	Use of three time level difference equations
11. Week	The analytical solution of the classical explicit approximation to the heat equation
12. Week	Hyperbolic equations and Characteristic
13. Week	Finite-Difference methods on Rectangular mesh for first-order equations
14. Week	Finite Difference Formulaes in Polar Coordinates
15. Week
16. Week

-- TEACHING and LEARNING METHODS

-- ASSESSMENT CRITERIA

	Quantity	Total Weighting (%)
Midterm Exams	1	30
Assignment	1	10
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
Reading Tasks	4	12	48
Searching in Internet and Library	4	12	48
Material Design and Implementation			0
Report Preparing			0
Preparing a Presentation			0
Presentation	1	15	15
Midterm Exam and Preperation for Midterm Exam	1	15	15
Final Exam and Preperation for Final Exam	1	5	5
Other (should be emphasized)	1	15	15
TOTAL WORKLOAD:			188
TOTAL WORKLOAD / 25:			7.52
Course Credit (ECTS):			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1					X
2				X
3					X
4					X
5					X
6					X
7					X
8					X
9					X
10					X
11					X
12					X

-- NAME OF LECTURER(S)

( Prof. Dr. Fatma AYAZ)

-- WEB SITE(S) OF LECTURER(S)

()

-- EMAIL(S) OF LECTURER(S)

(fayaz@gazi.edu.tr )

Gazi University

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GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR