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| Course Description |
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| Course Name |
: |
Differential Equations |
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| Course Code |
: |
TYP201 |
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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) |
: |
Asst.Prof.Dr. DİLEK KAHYALAR
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| Learning Outcomes of the Course |
: |
Student, who succeed this course ;
Makes definition and classification of differential equations
Obtains a differential equations eliminating arbitrary constants that given in a function
Knows general types of differential equations of first order and finds general solutions of them
Knows main theory of higher order Linear differential equations
Finds general solutions homogeneous and nonhomogeneous Linear differential equations with constant coefficients
Finds general solutions of Linear equations with constant coefficients using undetermined coefficients
Finds general solutions of Cauchy Euler equations
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| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
Objectives of this course is, to solve many problems in enginering, first, formulating these problems with mathematical statement and finding solutions of problems by using initial and bounded condition |
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| Course Contents |
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First order differential equations; separable equations, linear equations, Exact equations and integrating factor, Higher order differential equations; the method of variation of parameters, Constant coefficient equations, the method of undetermined coefficients/ Laplace transformation. |
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| Language of Instruction |
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Turkish |
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| Work Place |
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Classroom |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Definition of Differential Equations and Classification |
None |
Lecture and dicussion |
|
2 |
Iitial and Bounded Value Problems |
None |
Lecture and dicussion |
|
3 |
Obtained Differential Equations |
None |
Lecture and dicussion |
|
4 |
Exact Differential Equations and Integrating Factor |
None |
Lecture and dicussion |
|
5 |
Seperable Differential Equations |
None |
Lecture and dicussion |
|
6 |
Homogenous Differential Equations |
None |
Lecture and dicussion |
|
7 |
Linear and Bernouilli Differential Equations |
None |
Lecture and dicussion |
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8 |
Midterm Exam |
Review the topics |
written exam |
|
9 |
Main theory of High order Linear Differential Equations |
None |
Lecture and dicussion |
|
10 |
Homogenous Differential Equations with Costant Coefficient |
None |
Lecture and dicussion |
|
11 |
Nonhomogenous Differential Equations with Costant Coefficient |
None |
Lecture and dicussion |
|
12 |
The method of undetermined coefficients |
None |
Lecture and dicussion |
|
13 |
Method of the variation of Parameters |
None |
Lecture and dicussion |
|
14 |
Cauchy Euler Equations |
None |
Lecture and dicussion |
|
15 |
Laplace Dönüşümleri |
None |
Lecture and dicussion |
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16/17 |
Final Exam |
Review the topics |
written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Differential Equations ( L.S. Ross), Differential Equations( Prof.Dr. Mehmet Aydın)
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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
|
100 |
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Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Accesses to the resources in the field, uses of these resources and continuous self-improvement |
2 |
|
2 |
Plans activities related to operation, maintenance and repairs irrigation network,developes project formulations in monitoring and evaluations, operates the irrigation networks. |
3 |
|
3 |
Developes and implements irrigation programmes using the soil-plant-water relations and soil engineering properties |
3 |
|
4 |
Developes and implements strategies for wastewater, drainage water, runoff water such as treated waste water re-use of non-conventional water without adversely affecting the environment, makes laboratory analysis about saline alkali soils and water suitability to irrigation and reports. |
3 |
|
5 |
Prepares project about soil and water structures, animal houses, storage structures and crop production structures. Analyzes in terms of static and strength. Determines the properties of materials used in construction and makes the relevant tests.
|
2 |
|
6 |
Designs crop production systems, controls environmental domestic conditions and operates, makes the selection of materials to be used, tests and prepares a report. |
2 |
|
7 |
Etudes drainage of agricultural lands, plans drainage systems,prepares projects and makes aplications, selects materials to be used, tests and prepares a report
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2 |
|
8 |
Exposes the problems about soil and water conservation (erosion) and water harvesting, prepares and implements the project.
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2 |
|
9 |
Designs and projects small dams, ponds. Prepares and implements flood action plans within the scope of integrated watershed management. |
2 |
|
10 |
Works independently and takes responsibility |
3 |
|
11 |
Developes and implement s strategies of sustainable water management for the purposes of protecting water resources and agricultural production. |
1 |
|
12 |
Makes aplication of engineering design of irrigation systems and conducts tests about the materıals used ın these systems and preapares reports |
2 |
|
13 |
Prepares land consolidation projects and applies. Provides farm developing systems. Prepares and implements rural development projects. |
3 |
|
14 |
Creates effective solutions for sustainable agricultural production |
3 |
|
15 |
Developes projects to protect natural resources like water,and offers the benefit to society, using the information of basic engineering, basic agricultural engineering and agricultural structures and irrigation engineering .
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2 |
|
16 |
Has the ability to analyze problems ,make decisions and solve about professional subjects |
2 |
|
17 |
Has the ability to design and apply analytical, modelling and experimental researches,and acquires the skill of analyzing and interpreting the complex issiues occured during this process . |
2 |
| * 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 |
|
Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
4 |
56 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
15 |
15 |
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Final Exam |
1 |
15 |
15 |
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Total Workload: | 128 |
| Total Workload / 25 (h): | 5.12 |
| ECTS Credit: | 5 |
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