GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

NUMERICAL SOLUTIONS OF PARTIAL DERIVATIVE EQUATIONS FINITE DIFFERENCES I/6381305

Course Title:	NUMERICAL SOLUTIONS OF PARTIAL DERIVATIVE EQUATIONS FINITE DIFFERENCES I
Credits	3	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 problems approximately even there is 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	Theory of Differential Equations, Existence and Uniqueness Theorems
2. Week	Numerical techniques for ordinary differential equations
3. Week	Euler, Picard, Runge Kutto and Series Methods
4. Week	Finite Difference Method for ordinary differential equations
5. Week	Local truncation errors and symbols of extrapolation schemes
6. Week	The system of ordinary differential equations and reduction of a higher order differential equation into a system of first order ordinary differential
7. Week	Finite difference method for a system of ordinary differential equations
8. Week	Partial differential Equations and classification
9. Week	Parabolic equations:Alternatif derivation of finite difference
10. Week	The classical explicit approximation to the heat equation
11. Week	Crank-Nicholson Method
12. Week	Finite-Difference methods in a Rectangular domain for first-order equations
13. Week	Finite Difference Formulaes in Polar Coordinates
14. Week	Tutorial
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	1	15	15
Presentation	1	5	5
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
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)

(http://websitem.gazi.edu.tr/site/fayaz)

-- EMAIL(S) OF LECTURER(S)

(fayaz@gazi.edu.tr)

Gazi University

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GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR