| Course Description |
|
| Course Name |
: |
Differential Equations |
|
| Course Code |
: |
EEE209 |
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| Course Type |
: |
Compulsory |
|
| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
2 |
|
| Course Semester |
: |
Fall (16 Weeks) |
|
| ECTS |
: |
6 |
|
| Name of Lecturer(s) |
: |
Asst.Prof.Dr. MUSTAFA KEREM ÜN
|
|
| Learning Outcomes of the Course |
: |
Categorizes differential equations.
Proposes solution methods for the equations he/she has categorized.
Writes and solves the first order equations of physical systems.
Solves constant coefficient, nonhomogeneous equations.
Solve appropriate equations using Laplace transform.
|
|
| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
To teach the student differential equations and their applications in electrical and general engineering fields. |
|
| Course Contents |
: |
Introduction. First order equations. Second order linear homogeneous equations. Second order linear inhomogeneous equations. Higher order linear equations. Systems of linear equations. Solution with power series. Laplace transform. |
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| Language of Instruction |
: |
English |
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| Work Place |
: |
classroom |
|
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Introduction to ordinary differential equations (ODE) |
|
Lecture |
|
2 |
First order ODE´s, seperation of variables, physical applications. |
|
Lecture |
|
3 |
First order ODE´s, exact differentials |
|
Lecture |
|
4 |
First order ODE´s, integrating factors |
|
Lecture |
|
5 |
General first order linear ODE´s |
|
Lecture |
|
6 |
Second order ODE´s, solution of constant coefficient, homogeneous equations |
|
Lecture |
|
7 |
Methods of undetermined coefficients and variation of parameters |
|
Lecture |
|
8 |
Review, midterm exam |
|
Interactive lecture |
|
9 |
Higher order ODE´s |
|
Lecture |
|
10 |
Solution of systems of ODE´S |
|
Lecture |
|
11 |
Solution of systems of ODE´S (continued) |
|
Lecture |
|
12 |
Solution with power series. |
|
Lecture |
|
13 |
Laplace transform |
|
Lecture |
|
14 |
Laplace transform |
|
Lecture |
|
15 |
Review |
|
Interactive lecture |
|
16/17 |
Final exam |
|
exam |
|
|
| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Has capability in those fields of mathematics and physics that form the foundations of engineering. |
5 |
|
2 |
Grasps the main knowledge in the basic topics of electrical and electronic engineering. |
4 |
|
3 |
Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering. |
5 |
|
4 |
Identifies problems and analyzes the identified problems based on the gathered professional knowledge. |
2 |
|
5 |
Formulates and solves a given theoretical problem using the knowledge of basic engineering. |
2 |
|
6 |
Has aptitude for computer and information technologies |
0 |
|
7 |
Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English. |
2 |
|
8 |
Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices. |
0 |
|
9 |
Has the ability to write a computer code towards a specific purpose using a familiar programming language. |
0 |
|
10 |
Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared. |
1 |
|
11 |
Has the aptitude to identify proper sources of information, reaches them and uses them efficiently. |
2 |
|
12 |
Becomes able to communicate with other people with a proper style and uses an appropriate language. |
0 |
|
13 |
Internalizes the ethical values prescribed by his profession in particular and by the professional life in general. |
1 |
|
14 |
Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. |
1 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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