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Information
| Unit | FACULTY OF AGRICULTURE |
| AGRICULTURAL MACHINERY AND TECHNOLOGIES ENGINEERING PR. | |
| Code | TMT215 |
| Name | Differential Equations |
| Term | 2018-2019 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 2-1 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2.5 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALKHAN SARIYEV |
| Course Instructor |
Prof. Dr. ALKHAN SARIYEV
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
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
Course Content
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.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Student, who succeed this course ; Makes definition and classification of differential equations |
| LO02 | Obtains a differential equations eliminating arbitrary constants that given in a function |
| LO03 | Knows general types of differential equations of first order and finds general solutions of them |
| LO04 | Knows main theory of higher order Linear differential equations |
| LO05 | Finds general solutions homogeneous and nonhomogeneous Linear differential equations with constant coefficients |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Knows the concepts of basic science, engineering, general agricultural and agricultural machinery and other social-cultural subjects in order to have proficiency for agricultural machinery education and get current information. | |
| PLO02 | - | Learns the use and conservation of natural and fossil energy sources in agricultural production. | |
| PLO03 | - | Learns the production methods of agricultural machinery, knows and selects materials. | |
| PLO04 | - | Be aware of the universal and social effects of professional practices, to comprehend the importance of entrepreneurship and innovation issues. | |
| PLO05 | - | Learns the basic applications of agricultural machinery in terms of setting, maintenance, field using and related problems. | |
| PLO06 | - | Applies sustainable production models which are suitable for mechanization in agricultural enterprises, creates and manages the optimum mechanization chain. | |
| PLO07 | - | Knows and applies the standards, laws and regulations of agricultural machinery. | |
| PLO08 | - | Identifies the problems that can be solved within the scope of agricultural mechanization in plant and animal production and makes selection from existing agricultural machinery. | |
| PLO09 | - | Learns and applies the methods for self-improvement in a professional sense. | |
| PLO10 | - | Plans and manages the production, marketing and service network of agricultural machinery. | |
| PLO11 | - | Have general proficiency on basic engineering and agricultural engineering, specifically in the field of Agricultural Machinery. | |
| PLO12 | - | Supports the companies working in the field of agricultural machinery for R & D and technology development. | |
| PLO13 | - | Learns new applications and software for agricultural machinery design. | |
| PLO14 | - | Communicates with the representatives of the manufacturing industry, public institutions and professional chambers of the agricultural machinery sector within the scope of internship, practice and current problems monitoring and takes responsibility in different working environments. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definition of Differential Equations and Classification | Sections from different chapters relevant to the subject | |
| 2 | Iitial and Bounded Value Problems | Sections from different chapters relevant to the subject | |
| 3 | Obtained Differential Equations | Sections from different chapters relevant to the subject | |
| 4 | Exact Differential Equations and Integrating Factor | Sections from different chapters relevant to the subject | |
| 5 | Seperable Differential Equations | Sections from different chapters relevant to the subject | |
| 6 | Homogenous Differential Equations | Sections from different chapters relevant to the subject | |
| 7 | Linear and Bernouilli Differential Equations | Sections from different chapters relevant to the subject | |
| 8 | Mid-Term Exam | PROBLEM SOLUTIONS | |
| 9 | Main theory of High order Linear Differential Equations | Sections from different chapters relevant to the subject | |
| 10 | Homogenous Differential Equations with Costant Coefficient | Sections from different chapters relevant to the subject | |
| 11 | Nonhomogenous Differential Equations with Costant Coefficient | Sections from different chapters relevant to the subject | |
| 12 | The method of undetermined coefficients | Sections from different chapters relevant to the subject | |
| 13 | Method of the variation of Parameters | Sections from different chapters relevant to the subject | |
| 14 | Cauchy Euler Equations | Sections from different chapters relevant to the subject | |
| 15 | Laplace Dönüşümleri | Sections from different chapters relevant to the subject | |
| 16 | Term Exams | PROBLEM SOLUTIONS | |
| 17 | Term Exams | PROBLEM SOLUTIONS |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |