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)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Gain an ability to solve differantial equations. 2) Gain an ability to apply engineering, science and mathematics knowledge. 3) Gain an ability to identify, formulate, and solve engineering problems. 4) Gain an ability to use the modern engineering techniques.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Linear Differential Equations, Laplace Transform, Nonlinear Differential Equations, Vector Spaces, Matrices and Linear Equations, Fourier Methods and Partial Differential Equations, Wave Equations, Complex Variable Theory.
COURSE CONTENTS	WEEK TOPICS 1st Week Ordinary Differential Equations 2nd Week Exact Differential Equations, Bernoulli equations 3rd Week High Order lineer differential equations 4th Week The Method of undetermined Coefficients, Variation of parameters 5th Week Power Series 6th Week Legendre Equations 7th Week Frobenius Method, Bessel equations 8th Week Midterm Exam 9th Week Laplace Transform 10th Week Laplace Transform 11th Week Lineer algebra 12th Week Vektör Differantial Calculus 13th Week Surface Integral 14th Week Fourier Series
RECOMENDED OR REQUIRED READING	(1)Kreyszig, Erwin, Advanced Engineering Mathematics, 9th Edition, John Wiley & Sons, 2006 (2)Greenberg, Micheal D., Advanced Engineering Mathematics, 2nd Edition, Prentice Hall, 1998
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Problem Solving
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Quiz 1 15 Total(%) 55 Contribution of In-term Studies to Overall Grade(%) 55 Contribution of Final Examination to Overall Grade(%) 45 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 96 96 Preparation for Quiz 1 12 12 Individual or group work 1 3 3 Preparation for Final exam 1 12 12 Course hours 14 3 42 Preparation for Midterm exam 1 11 11 Laboratory (including preparation) Final exam 1 96 96 Homework 3 12 36 Presentation (including preperation) Project Thesis Research Total Workload 308 Total Workload / 30 10,26 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No