FILM AND TELEVISION | |||||
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) Being familiar to the main concepts and methods of the social sciences and the fine arts devoted to understanding the world and the society | |||||||||||
2) Having comprehensive knowledge regarding different media and branches of art | |||||||||||
3) Knowing the historical background of audio-visual moving images in the world and in Turkey and keeping pace with the new developments in the area | |||||||||||
4) Having a good command of the language and the aesthetics of audio-visual moving images in the world and in Turkey | |||||||||||
5) Being able to create a narrative that could be used in a fiction or a non-fiction audio-visual moving image product | |||||||||||
6) Being able to write a script ready to be shot | |||||||||||
7) Having the skills to produce the photoboard of a script in hand and to shoot the film using the camera, the lights and other necessary equipment | |||||||||||
8) Being able to transfer the footage of a film to the digital medium, to edit and do other post-production operations | |||||||||||
9) Being able to create a documentary audio visual moving image from the preliminary sketch stage to shooting, editing and post-production stages | |||||||||||
10) Being able to produce an audio visual moving image for television and audio products for radio from preliminary stages through shooting and editing to the post-production stage | |||||||||||
11) Being culturally and theoretically equipped to make sense of an audio-visual moving image, to approach it critically with regard to its language and narration and being able to express his/her approach in black and white | |||||||||||
12) Having ethical values and a sense of social responsibility |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Being familiar to the main concepts and methods of the social sciences and the fine arts devoted to understanding the world and the society | 4 |
2) | Having comprehensive knowledge regarding different media and branches of art | 3 |
3) | Knowing the historical background of audio-visual moving images in the world and in Turkey and keeping pace with the new developments in the area | 1 |
4) | Having a good command of the language and the aesthetics of audio-visual moving images in the world and in Turkey | 1 |
5) | Being able to create a narrative that could be used in a fiction or a non-fiction audio-visual moving image product | 2 |
6) | Being able to write a script ready to be shot | 2 |
7) | Having the skills to produce the photoboard of a script in hand and to shoot the film using the camera, the lights and other necessary equipment | |
8) | Being able to transfer the footage of a film to the digital medium, to edit and do other post-production operations | |
9) | Being able to create a documentary audio visual moving image from the preliminary sketch stage to shooting, editing and post-production stages | |
10) | Being able to produce an audio visual moving image for television and audio products for radio from preliminary stages through shooting and editing to the post-production stage | |
11) | Being culturally and theoretically equipped to make sense of an audio-visual moving image, to approach it critically with regard to its language and narration and being able to express his/her approach in black and white | 3 |
12) | Having ethical values and a sense of social responsibility | 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 |