Information Package / Course Catalogue - Adnan Menderes University

General Information Unit Staff Academic Information Programme Outcomes Course Structure Diagram Contact Information

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Nonlinear Vibrations and Waves

Course Code	: FİZ434
Course Type	: Area Elective
Couse Group	: First Cycle (Bachelor's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 7

Objectives of the Course

To understand nonlinear vibrations and waves and relations with nature also understand the difference of waves which propogate in linear and nonlinear medium.

Course Content

To teach the properties of nonlinear and linear vibrations and waves. Also apply them on natural events.

Name of Lecturer(s)

Learning Outcomes

1.	It should be said and writen that linear and nonlinear vibrations and their properties.
2.	It should be said how the nonlinear differantial equations can be solved and can be used any method for solution.
3.	students should obtain the difference between the solutions of linear and nonlinear coupled systems and modes,
4.	students should relate modes and waves of many body linear and nonlinear coupled systems
5.	To be able to establishe a relation betweeen the modes and waves of lineer and nonlineer coupled systems with many particles.
6.	To be able to write linear and nonlinear wave equations and show distinctions between them.
7.	To be able to show the differences in the prepagation of linear and nonlinear waves and express how these differences mathematically change with the amplitudes of the waves.
8.	To be able to say why the modes interact each other in nonlinear waves and to express the facts result in this interaction.

Recommended or Required Reading

1.	Waves (Berkeley) S. Frank , Jr.Crowford

Weekly Detailed Course Contents

Week 1 - Theoretical

The difference between linear and nonlinear vibrations and their equations

Week 2 - Theoretical

The difference between linear and nonlinear solutions of equations

Week 3 - Theoretical

modes of coupled linear and nonlinear vibrations

Week 4 - Theoretical

reasons of changing in frequancy of modes and the meaning of them.

Week 5 - Theoretical

nonlinear modes and principle of superposition

Week 6 - Theoretical

examples of wave equations in linear mediums, their properties and solutions.

Week 7 - Theoretical

Wave equation nonlinear mediums and their difference from in which linear mediums.

Week 8 - Intermediate Exam

Midterm

Week 9 - Theoretical

To introduce with simple nonlinear wave equations

Week 10 - Theoretical

discussion on solutions of nonlinear wave equations

Week 11 - Theoretical

some applications of nonlinear wave equations in physics

Week 12 - Theoretical

The reasons of interactions with modes while nonlinear waves propogates.

Week 13 - Theoretical

investigation of nonlinear waves in traffic

Week 15 - Theoretical

The investigation of linear waves in conduction loops

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Quiz	2	%10
Midterm Examination	1	%30
Final Examination	1	%70

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	8	2	140
Assignment	1	5	2	7
Quiz	3	2	1	9
Midterm Examination	1	10	2	12
Final Examination	1	10	2	12
TOTAL WORKLOAD (hours)				180

Contribution of Learning Outcomes to Programme Outcomes

	PÇ-1	PÇ-2	PÇ-3	PÇ-4	PÇ-5	PÇ-6	PÇ-7	PÇ-8	PÇ-9	PÇ-10	PÇ-11	PÇ-12	PÇ-13	PÇ-14	PÇ-15	PÇ-16	PÇ-17	PÇ-18
OÇ-1																	4
OÇ-2														4			3
OÇ-3		4		4
OÇ-4		4
OÇ-5													4	4
OÇ-6	4	4
OÇ-7	3	5											4
OÇ-8		4			4	4					4					4	4

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