FACULTY OF ARTS AND SCIENCES
Department of Physics
PHYS 310 | Course Introduction and Application Information
Course Name |
Nonlinear Dynamics and Chaos Theory
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
PHYS 310
|
Fall/Spring
|
2
|
2
|
3
|
5
|
Prerequisites |
None
|
|||||
Course Language |
English
|
|||||
Course Type |
Elective
|
|||||
Course Level |
First Cycle
|
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Mode of Delivery | Online | |||||
Teaching Methods and Techniques of the Course | DiscussionProblem SolvingLecture / Presentation | |||||
Course Coordinator | - | |||||
Course Lecturer(s) | ||||||
Assistant(s) |
Course Objectives | The aim of this course is to introduce and to model nonlinear dynamical systems with emerging chaotic behavior, together with its characterization. |
Learning Outcomes |
The students who succeeded in this course;
|
Course Description | Models for the behavior of particles described by the nonlinear dynamical equations will be developed, and characterization and applications of emerging chaos in these equations will be discussed. |
|
Core Courses | |
Major Area Courses |
X
|
|
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
Week | Subjects | Related Preparation |
1 | Overview, chaos, fractals | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 1. ISBN: 9780813349107 |
2 | Flow on a line | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 2. ISBN: 9780813349107 |
3 | Bifurcation | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 3. ISBN: 9780813349107 |
4 | Flow on a circle | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 4. ISBN: 9780813349107 |
5 | 2 dimensional systems: linear systems | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 5. ISBN: 9780813349107 |
6 | Phase space | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 6. ISBN: 9780813349107 |
7 | Midterm exam 1 | |
8 | Limit cycles | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 7. ISBN: 9780813349107 |
9 | Bifurcation in 2d systems | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 8. ISBN: 9780813349107 |
10 | Lorenz equation | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 9. ISBN: 9780813349107 |
11 | One dimensional maps | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 10. ISBN: 9780813349107 |
12 | Fractals - Midterm exam 2 | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 11. ISBN: 9780813349107 |
13 | Strange attractors | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 12. ISBN: 9780813349107 |
14 | Strange attractors | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). Chapter 12. ISBN: 9780813349107 |
15 | Semester review | |
16 | Final Exam |
Course Notes/Textbooks | Steven H. Strogatz, Nonlinear Dynamics and Chaos, 2nd edn. (CRC Press, 2015). ISBN: 9780813349107 |
Suggested Readings/Materials | Linda. E. Reichl, The Transition to Chaos (Springer Verlag, 1992). ISBN: 9780387977539 |
EVALUATION SYSTEM
Semester Activities | Number | Weigthing |
Participation |
1
|
10
|
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | ||
Portfolio | ||
Homework / Assignments |
1
|
10
|
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exams | ||
Midterm |
2
|
40
|
Final Exam |
1
|
40
|
Total |
Weighting of Semester Activities on the Final Grade |
4
|
60
|
Weighting of End-of-Semester Activities on the Final Grade |
1
|
40
|
Total |
ECTS / WORKLOAD TABLE
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
2
|
32
|
Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
2
|
32
|
Study Hours Out of Class |
12
|
3
|
36
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
0
|
||
Portfolio |
0
|
||
Homework / Assignments |
5
|
2
|
10
|
Presentation / Jury |
0
|
||
Project |
0
|
||
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
2
|
10
|
20
|
Final Exam |
1
|
20
|
20
|
Total |
150
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
||
1 | To be able master and use fundamental phenomenological and applied physical laws and applications, |
X | ||||
2 | To be able to identify the problems, analyze them and produce solutions based on scientific method, |
X | ||||
3 | To be able to collect necessary knowledge, able to model and self-improve in almost any area where physics is applicable and able to criticize and reestablish his/her developed models and solutions, |
X | ||||
4 | To be able to communicate his/her theoretical and technical knowledge both in detail to the experts and in a simple and understandable manner to the non-experts comfortably, |
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5 | To be familiar with software used in area of physics extensively and able to actively use at least one of the advanced level programs in European Computer Usage License, |
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6 | To be able to develop and apply projects in accordance with sensitivities of society and behave according to societies, scientific and ethical values in every stage of the project that he/she is part in, |
|||||
7 | To be able to evaluate every all stages effectively bestowed with universal knowledge and consciousness and has the necessary consciousness in the subject of quality governance, |
|||||
8 | To be able to master abstract ideas, to be able to connect with concreate events and carry out solutions, devising experiments and collecting data, to be able to analyze and comment the results, |
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9 | To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life, |
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10 | To be able to conduct a study both solo and in a group, to be effective actively in every all stages of independent study, join in decision making stage, able to plan and conduct using time effectively. |
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11 | To be able to collect data in the areas of Physics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1). |
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12 | To be able to speak a second foreign at a medium level of fluency efficiently |
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13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
NEWS |ALL NEWS
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our student physics project at the finals
NEBULA rocket team, a branch of physics club established by our students is now at the finals after succesfully passing critical design