TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Doctorate Of Science
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) An ability of numerical solution of ordinary and partial differential equations in the engineering 2) An ability to apply knowledge of mathematics, science, and engineering 3) An ability to identify, formulate, and solve engineering problems 4) 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	Systems of linear equations, linear vector spaces, matrices and eigenvalue problems, multivariable differential calculations; ordinary differential equations, vectors in R3 space, vector field theory, Fourier series, integral transformations. Variational calculations.
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 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 15th Week Final Exam
RECOMENDED OR REQUIRED READING	Kreyszig, Erwin, Advanced Engineering Mathematics, 9th Edition, John Wiley & Sons, 2006 Greenberg, Micheal D., Advanced Engineering Mathematics, 2nd Edition, Prentice Hall, 1998
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Questions/Answers,Problem Solving
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Assignment 1 5 Quiz 1 2 Attendance 1 3 Total(%) 50 Contribution of In-term Studies to Overall Grade(%) 50 Contribution of Final Examination to Overall Grade(%) 50 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz Individual or group work 14 3 42 Preparation for Final exam 1 78 78 Course hours 14 3 42 Preparation for Midterm exam 1 78 78 Laboratory (including preparation) Final exam 1 2 2 Homework 1 60 60 Total Workload 304 Total Workload / 30 10,13 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No