TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	3
SEMESTER	Sixth Term (Spring)
NUMBER OF ECTS CREDITS ALLOCATED	6
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) able to classify the differential equations. 2) able to solve first order differential equations of certain types 3) Knows the solution methods of higher order linear differential equations.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	Calculus 1 Calculus 2
COURSE DEFINITION	Classification of differential equations, Solutions and existence uniqueness theorem, Initial value and boundary value problems, Separable Equations, Linear Equations, Homogeneous Equations, Exact differential equations and integral multiplier, Bernoulli and Riccati type Equations, First order higher degree equations, second order equations without one of the variables, applications of second order differential equations. Higher order linear differential equations and solutions.
COURSE CONTENTS	WEEK TOPICS 1st Week Classification of differential equations, Solutions and existence and uniqueness theorem, Initial and boundary value problems 2nd Week Separable equations, Linear equations 3rd Week Linear Equations (Continued) 4th Week Homogeneous equations 5th Week Exact differential equations and integral multiplier 6th Week Higher Order Differential Equations 7th Week Bernoulli and Ricatti Differential Equations 8th Week Midterm Exam 9th Week Reduction of Order 10th Week Homogeneous Constant Coefficient Differential Equations 11th Week Indeterminate Coefficients Method 12th Week Method of variation of parameters 13th Week Operator Method 14th Week Summary
RECOMENDED OR REQUIRED READING	E. Akyıldız, Y. Akyıldız, Ş. Alpay, A. Erkip, A. Yazıcı, "Lectures on Differential Equations" Matematik Vakfı Yayın No:1, 2000. M. N. Özer,D. Eser. Diferansiyel Denklemler (Teori ve Uygulamalar).
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 30 Assignment 1 10 Quiz 2 10 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 2 5 10 Individual or group work 13 3 39 Preparation for Final exam 6 4 24 Course hours 13 3 39 Preparation for Midterm exam 6 4 24 Laboratory (including preparation) Final exam 1 2 2 Homework 6 4 24 Total Workload 164 Total Workload / 30 5,46 ECTS Credits of the Course 6
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No