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 problems. 2) Know the basic nonlinear analysis. 3) Know and apply stability theory and its applications. 4) Gain an ability to calculate transfer function via differential equations. 5) Know and use singular perturbations theory and its applications. 6) Know and improve differential geometric methods. 7) Experience the theoretical knowledge with applications.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Linear versus nonlinear. Basic nonlinear analysis. Nonlinear ordinary differential equations. Second order systems; Poincare-Bendixon theorem, limit cycles. Stability in the sense of Lyapunov. Input-output stability, passivity, small gain theorem. Singular Perturbations. Differential geometric methods. Recent topics on nonlinear systems.
COURSE CONTENTS	WEEK TOPICS 1st Week Linear versus nonlinear systems 2nd Week Basic nonlinear analysis 3rd Week Nonlinear ordinary differential equations 4th Week Second order systems 5th Week Poincare-Bendixon theorem 6th Week Limit cycles 7th Week Stability in the sense of Lyapunov 8th Week Midterm Exam 9th Week Stability in the sense of Lyapunov 10th Week Input-output stability, passivity, small gain theorem 11th Week Input-output stability, passivity, small gain theorem 12th Week Singular Perturbations 13th Week Differential geometric methods 14th Week Recent topics on nonlinear systems
RECOMENDED OR REQUIRED READING	1. Nonlinear Systems, H.K. Khalil, Prentice Hall 2. Nonlinear Control Systems, A. Isidori, Springer
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Presentation,Lecture
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 30 Quiz 2 10 Project 1 15 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 3 3 Preparation for Quiz 0 0 0 Individual or group work 14 8 112 Preparation for Final exam 1 40 40 Course hours 14 3 42 Preparation for Midterm exam 1 30 30 Laboratory (including preparation) 0 0 0 Final exam 1 3 3 Homework 2 35 70 Total Workload 300 Total Workload / 30 10 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No