TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Master's Degree With Thesis
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	Assistant Professor Bedi Cenk Balçık
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Learning the characteristics of the parabolic, hyperbolic and elliptic differential equations. 2) Solving ordinary differential equations with numerical techniques. 3) Ability to change the numerical solution technique od differential equations with respect to different boundary conditions. 4) Getting knowledge of the numerical solution techniques for the partial differential equations. 5) Determining the convergence criteria for the numerical solution techniques. 6) Selecting alternative numerical techniques for divergent differential equations.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Solution of ordinary differential equations, initial and boundary value problems, Runge-Kutta methods, higher order ordinary differential equations, classification of partial differential equations, solution techniques of parabolic, elliptic and hyperbolic partial differential equations, applications in engineering.
COURSE CONTENTS
RECOMENDED OR REQUIRED READING	LANGTANGEN H.P., Computational Partial Differential Equations: Numerical Methods and Diffpack Programming, Springer Verlag GOCKENBACH M.S., Partial Differential Equations: Analytical and Numerical Methods, SIAM LARSSON S., Thomee V., Partial Differential Equations with Numerical Methods, Springer Verlag DORMAND J.R., Numerical Methods for Differential Equations: A Computational Approach (Engineering Mathematics), CRC Press, 1996
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Questions/Answers,Problem Solving
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 35 Assignment 4 20 Attendance 1 5 Total(%) 60 Contribution of In-term Studies to Overall Grade(%) 60 Contribution of Final Examination to Overall Grade(%) 40 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 1,5 1,5 Preparation for Quiz Individual or group work 14 2 28 Preparation for Final exam 1 20 20 Course hours 14 3 42 Preparation for Midterm exam 1 20 20 Laboratory (including preparation) Final exam 1 2 2 Homework 4 20 80 Take-home 2 50 100 Total Workload 293,5 Total Workload / 30 9,78 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No