PHYSIOTHERAPY AND REHABILITATION (ENGLISH) | |||||
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) To have theoretical and practical knowledge required to fulfill professional roles and functions of Physiotherapy and Rehabilitation field. | |||||||||||
2) To act in accordance with ethical principles and values in professional practice. | |||||||||||
3) To use life-long learning, problem-solving and critical thinking skills. | |||||||||||
4) To define evidence-based practices and determine problem solving methods in Physiotherapy and Rehabilitation practices, using theories in health promotion, protection and care. | |||||||||||
5) To take part in research, projects and activities within sense of social responsibility and interdisciplinary approach. | |||||||||||
6) To have skills for training and consulting according to health education needs of individual, family and the community. | |||||||||||
7) To be sensitive to health problems of the community and to be able to offer solutions. | |||||||||||
8) To be able to use skills for effective communication. | |||||||||||
9) To be able to select and use modern tools, techniques and modalities in Physiotherapy and Rehabilitation practices; to be able to use health information technologies effectively. | |||||||||||
10) To be able to search for literature in health sciences databases and information sources to access to information and use the information effectively. | |||||||||||
11) To be able to monitor occupational information using at least one foreign language, to collaborate and communicate with colleagues at international level. | |||||||||||
12) To be a role model with contemporary and professional identity. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | To have theoretical and practical knowledge required to fulfill professional roles and functions of Physiotherapy and Rehabilitation field. | 2 |
2) | To act in accordance with ethical principles and values in professional practice. | 1 |
3) | To use life-long learning, problem-solving and critical thinking skills. | 4 |
4) | To define evidence-based practices and determine problem solving methods in Physiotherapy and Rehabilitation practices, using theories in health promotion, protection and care. | 1 |
5) | To take part in research, projects and activities within sense of social responsibility and interdisciplinary approach. | 1 |
6) | To have skills for training and consulting according to health education needs of individual, family and the community. | 1 |
7) | To be sensitive to health problems of the community and to be able to offer solutions. | 1 |
8) | To be able to use skills for effective communication. | 5 |
9) | To be able to select and use modern tools, techniques and modalities in Physiotherapy and Rehabilitation practices; to be able to use health information technologies effectively. | 1 |
10) | To be able to search for literature in health sciences databases and information sources to access to information and use the information effectively. | 1 |
11) | To be able to monitor occupational information using at least one foreign language, to collaborate and communicate with colleagues at international level. | 1 |
12) | To be a role model with contemporary and professional identity. | 5 |
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 |