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| Course Description |
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| Course Name |
: |
Differential Equations |
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| Course Code |
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ENM205 |
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| Course Type |
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Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
2 |
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| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
5 |
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| Name of Lecturer(s) |
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Asst.Prof.Dr. ZEYNEP YAPTI ÖZKURT
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| Learning Outcomes of the Course |
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Recognizes and classifies differential equations.
Understands first order differantial equations.
Understands exact differantial equations.
Recognizes and solves linear differantial equations.
Recognizes and solves Bernoulli differantial equations.
Recognizes and solves Cauchy – Euler equations.
Recognizes and solves system of linear differantial equation.
Applies Laplace transformations.
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| Mode of Delivery |
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Face-to-Face |
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| Prerequisites and Co-Prerequisites |
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None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
Recognize differential equations and its clasifications, Recognize first order differantial equations, Recognize exact differantial equations,. Recognize and solve linear differantial equations, Recognize and solve Bernoulli differantial equations, Recognize and solve Cauchy – Euler equations, Recognize and solve system of linear differantial equation, Recognize Laplace transformation. |
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| Course Contents |
: |
Differential equations and their solutions, Clasification of differential equations ,Initial value problems, Boundary value problems and existence of solutions,Exact differential equations and integrating factor,Seperable equations and equations reducible to this form,Linear equations ve Bernoulli equations,Explicit methods of solving higher order linear differantial equations,e homogeneous linear equations with constant coefficients,The method of undetermined coefficients,Variations of parameters,Cauchy – Euler equations,System of linear differantial equations,Laplace transformations,Basic properties of Laplace transformations |
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| Language of Instruction |
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Turkish |
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| Work Place |
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IE classrooms |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Differential equations and their solutions |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
2 |
Clasification of differential equations |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
3 |
Initial value problems, Boundary value problems and existence of solutions |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
4 |
Exact differential equations and integrating factor |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
5 |
Seperable equations and equations reducible to this form |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
6 |
Linear equations ve Bernoulli equations |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
7 |
Explicit methods of solving higher order linear differantial equations |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
8 |
Midterm Exam and Problem Solving |
prepare for the exam |
written exam |
|
9 |
The homogeneous linear equations with constant coefficients |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
10 |
The method of undetermined coefficients |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
11 |
Variations of parameters |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
12 |
Cauchy – Euler equations |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
13 |
System of linear differantial equations |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
14 |
Laplace transformations |
Review of the relevant pages of the textbook. |
Lecture, discussion |
|
15 |
Basic properties of Laplace transformations |
Review of the relevant pages of the textbook. |
Lecture, discussion |
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16/17 |
Final Exam |
prepare for the exam |
written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Differential Equations, Shepley L. Ross, Blaisdell Pub. Co., London, (1964)
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
100 |
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Homeworks/Projects/Others |
0 |
0 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. |
2 |
|
2 |
Has sufficient background on topics related to mathematics, physical sciences and industrial engineering. |
5 |
|
3 |
Gains ability to use the acquired theoretical knowledge on basic sciences and industrial engineering for describing, formulating and solving an industrial engineering problem, and to choose appropriate analytical and modeling methods. |
4 |
|
4 |
Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . |
1 |
|
5 |
Gains ability to choose and apply methods and tools for industrial engineering applications. |
0 |
|
6 |
Can access information and to search/use databases and other sources for information gathering. |
3 |
|
7 |
Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. |
3 |
|
8 |
Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously. |
2 |
|
9 |
Can use computer software in industrial engineering along with information and communication technologies. |
0 |
|
10 |
Can use oral and written communication efficiently. |
3 |
|
11 |
Has a conscious understanding of professional and ethical responsibilities. |
5 |
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12 |
Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. |
0 |
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13 |
Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. |
0 |
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14 |
Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering. |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
4 |
56 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
4 |
56 |
| Assesment Related Works |
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Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
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Final Exam |
1 |
15 |
15 |
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Total Workload: | 137 |
| Total Workload / 25 (h): | 5.48 |
| ECTS Credit: | 5 |
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