POLITICAL SCIENCE AND INTERNATIONAL RELATIONS | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MAT2062 | ||||||||
Ders İsmi: | Differential Equations | ||||||||
Ders Yarıyılı: |
Spring Fall |
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Ders Kredileri: |
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Language of instruction: | English | ||||||||
Ders Koşulu: | |||||||||
Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||
Type of course: | Non-Departmental Elective | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr. Öğr. Üyesi GÜLSEMAY YİĞİT | ||||||||
Course Lecturer(s): | |||||||||
Course Assistants: |
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. |
The students who have succeeded in this course;
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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. |
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 Öğrenme Kazanımları | |||||||||||
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Program Outcomes | |||||||||||
1) Grasp basic theoretical and conceptual knowledge about the field and relations between them at the level of practice. | |||||||||||
2) Possess basic knowledge about the causes and effects of political transformations in societies. | |||||||||||
3) Possess knowledge about quantitative, qualitative and mixed research methods in social and behavioral sciences. | |||||||||||
4) Recognize historical patterns while evaluating contemporary political and social developments. | |||||||||||
5) Demonstrate interdisciplinary and critical approach while analyzing, synthesizing and forecasting domestic and foreign policy. | |||||||||||
6) Conduct studies in the field professionally, both independently or as a team member. | |||||||||||
7) Possess consciousness about lifelong learning based on Research & Development. | |||||||||||
8) Communicate with peers both orally and in writing, by using a foreign language at least at a level of European Language Portfolio B1 General Level and the necessary informatics and communication technologies. | |||||||||||
9) Apply field-related knowledge and competences into career advancement, projects for sustainable development goals, and social responsibility initiatives. | |||||||||||
10) Possess the habit to monitor domestic and foreign policy agenda as well as international developments. | |||||||||||
11) Possess competence to interpret the new political actors, theories and concepts in a global era. | |||||||||||
12) Evaluate the legal and ethical implications of advanced technologies on politics. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Grasp basic theoretical and conceptual knowledge about the field and relations between them at the level of practice. | |
2) | Possess basic knowledge about the causes and effects of political transformations in societies. | |
3) | Possess knowledge about quantitative, qualitative and mixed research methods in social and behavioral sciences. | |
4) | Recognize historical patterns while evaluating contemporary political and social developments. | |
5) | Demonstrate interdisciplinary and critical approach while analyzing, synthesizing and forecasting domestic and foreign policy. | |
6) | Conduct studies in the field professionally, both independently or as a team member. | |
7) | Possess consciousness about lifelong learning based on Research & Development. | |
8) | Communicate with peers both orally and in writing, by using a foreign language at least at a level of European Language Portfolio B1 General Level and the necessary informatics and communication technologies. | |
9) | Apply field-related knowledge and competences into career advancement, projects for sustainable development goals, and social responsibility initiatives. | |
10) | Possess the habit to monitor domestic and foreign policy agenda as well as international developments. | |
11) | Possess competence to interpret the new political actors, theories and concepts in a global era. | |
12) | Evaluate the legal and ethical implications of advanced technologies on politics. |
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 |