PERFORMING ARTS
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code:

MAT2062

Ders İsmi:

Differential Equations

Ders Yarıyılı:

Spring
Fall

Ders Kredileri:

Theoretical	Practical	Credit	ECTS
3	0	3	6

Language of instruction:

English

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Type of course:

Non-Departmental Elective

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Dr. Öğr. Üyesi GÜLSEMAY YİĞİT

Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:

This course covers the fundamental concepts of an introductory level of elementary differential equations with basic concepts, theory, solution methods and applications. Main goal is to develop the basics of modeling at an introductory level and connect this step to the theoretical and methodological resource of mathematics.

Course Content:

In this course basic concepts of elementary differential equations will be covered. The solution techniques for the different types of first order differential equations will be given and the solution methods will be taught. The higher order linear differential equations and solution methods will be discussed. The systems of linear equations will be covered with different techniques. Finally, the Laplace Transform method will be taught to solve linear differential equations.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Classification of differential equations, Explicit solution, implicit solution, Initial Value Problems, Integrals as General and Particular Solutions.
2)	Existence and Uniqueness of Solution. Separable Differential Equations.
3)	First Order Linear Differential Equations.
4)	Substitutions methods. Homogeneous Differential Equations. Bernoulli Differential Equations.
5)	Exact Differential Equations.
6)	Population models. Reducible second order equations.
7)	Theory of Higher Order Linear Differential Equations, Existence and Uniqueness Theorem, Linear Dependence and Independence, Representation of Solutions for Homogeneous and Nonhomogeneous Cases.
8)	Homogeneous Linear Equations with Constant Coefficients. Euler Equations.
9)	Solution of Nonhomogeneous Linear Differential Equations. Method of Undetermined Coefficients.
10)	Solution of Nonhomogeneous Linear Differential Equations. Method of Variation of Parameters.
11)	Theory of Systems of Linear Differential Equations.
12)	The Eigenvalue Method for Systems of Linear Differential Equations.
13)	Laplace Transforms: Definition of the Laplace Transform, Properties of the Laplace Transform. Inverse Laplace Transform.
14)	Solution of Differential Equations by using Laplace Transform.

Sources

Course Notes / Textbooks:	Differential Equations with Boundary Value Problems by C. Henry Edwards & D. E.Penney, sixth edition
References:	Introduction to Ordinary Differential Equations” by Shepley L. Ross. Fourth Edition, John Wiley and Sons.

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları
Program Outcomes
1) They acquire theoretical, historical and aesthetic knowledge specific to their field by using methods and techniques related to performing arts (acting, dance, music, etc.).
2) They have knowledge about art culture and aesthetics and they provide the unity of theory and practice in their field.
3) They are aware of national and international values in performing arts.
4) Abstract and concrete concepts of performing arts; can transform it into creative thinking, innovative and original works.
5) They have the sensitivity to run a business successfully in their field.
6) Develops the ability to perceive, think, design and implement multidimensional from local to universal.
7) They have knowledge about the disciplines that the performing arts field is related to and can evaluate the interaction of the sub-disciplines within their field.
8) They develop the ability to perceive, design, and apply multidimensionality by having knowledge about artistic criticism methods.
9) They can share original works related to their field with the society and evaluate their results and question their own work by using critical methods.
10) They follow English language resources related to their field and can communicate with foreign colleagues in their field.
11) By becoming aware of national and international values in the field of performing arts, they can transform abstract and concrete concepts into creative thinking, innovative and original works.
12) They can produce original works within the framework of an interdisciplinary understanding of art.
13) Within the framework of the Performing Arts Program and the units within it, they become individuals who are equipped to take part in the universal platform in their field.
14) Within the Performing Arts Program, according to the field of study; have competent technical knowledge in the field of acting and musical theater.
15) They use information and communication technologies together with computer software that is at least at the Advanced Level of the European Computer Use License as required by the field.

Ders - Öğrenme Kazanımı İlişkisi

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	They acquire theoretical, historical and aesthetic knowledge specific to their field by using methods and techniques related to performing arts (acting, dance, music, etc.).	2
2)	They have knowledge about art culture and aesthetics and they provide the unity of theory and practice in their field.	2
3)	They are aware of national and international values in performing arts.	2
4)	Abstract and concrete concepts of performing arts; can transform it into creative thinking, innovative and original works.	1
5)	They have the sensitivity to run a business successfully in their field.	3
6)	Develops the ability to perceive, think, design and implement multidimensional from local to universal.	3
7)	They have knowledge about the disciplines that the performing arts field is related to and can evaluate the interaction of the sub-disciplines within their field.	2
8)	They develop the ability to perceive, design, and apply multidimensionality by having knowledge about artistic criticism methods.	3
9)	They can share original works related to their field with the society and evaluate their results and question their own work by using critical methods.	1
10)	They follow English language resources related to their field and can communicate with foreign colleagues in their field.	1
11)	By becoming aware of national and international values in the field of performing arts, they can transform abstract and concrete concepts into creative thinking, innovative and original works.	3
12)	They can produce original works within the framework of an interdisciplinary understanding of art.	2
13)	Within the framework of the Performing Arts Program and the units within it, they become individuals who are equipped to take part in the universal platform in their field.	3
14)	Within the Performing Arts Program, according to the field of study; have competent technical knowledge in the field of acting and musical theater.	2
15)	They use information and communication technologies together with computer software that is at least at the Advanced Level of the European Computer Use License as required by the field.	3

Öğrenme Etkinliği ve Öğretme Yöntemleri

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Quizzes	2	% 20
Midterms	1	% 35
Final	1	% 45
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 55
PERCENTAGE OF FINAL WORK		% 45
Total		% 100