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Information
| Unit | FACULTY OF ENGINEERING |
| MINING ENGINEERING PR. | |
| Code | MMD202 |
| Name | Differential Equations |
| Term | 2015-2016 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | |
| Course Instructor |
Prof. Dr. ZERRİN GÜL ESMERLİGİL
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Objectives of this course is, to solve many problems in engineering, first, formulate these problems with mathematical statements and find 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; basic definition and theorems.
Course Precondition
Yok
Resources
Notes
Ders Notu ve Kitaplar
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Student, who succed this course |
| LO02 | Can make definition and classification of differential equations |
| LO03 | Can obtain a differential equation eliminating arbitrary constants from a given function. |
| LO04 | Can remember general type of differential equations of first order and can find general solutions of them |
| LO05 | Can know about main theory of higher order linear differential equations. |
| LO06 | Can find the general solutions of homogeneous and nonhomogeneous linear differential equations with constant coefficients. |
| LO07 | Can find general solutions of Linear equations with constant coefficients using undetermined coefficients |
| LO08 | Can find general solutions of Cauchy Euler equations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Students gain adequate knowledge about the engineering fields in the branches of mathematics, physical sciences or their own branches | |
| PLO02 | - | Students use the theoretical and practical knowledge in mathematics, physical sciences and their fields for engineering solutions | |
| PLO03 | - | Students choose and use the appropriate analytical mehtods and modelling techniques to identify, formulate, and solve the engineering problems | |
| PLO04 | - | Students design and carry out experiments, collect data, analyze and interpret the results. | |
| PLO05 | - | Students gain the capacity to analyze a system, a component, and desing the process under realistic constraints to meet the desired requirements; and the ability to apply the methods of modern design accordingly | |
| PLO06 | - | Students choose and use the modern technical tools necessary for engineering practice. | |
| PLO07 | - | Students gain the ability to work effectively both as an individual and in multi-disciplinary teams. | |
| PLO08 | - | Students follow the current developments in their fields with a recognition of the need for lifelong learning and constantly improve themselves | |
| PLO09 | - | Students use the resources of information and databases for the purpose of doing research and accesing information. | |
| PLO10 | - | Students follow the scientific and technological developments in recognition of the need for lifelong learning, and continuously keep their knowledge up to date. | |
| PLO11 | - | Students use the information and communication technologies together with the computer software at the level required by the European Computer Driving Licence. | |
| PLO12 | - | Students use a foreign language according to the general level of European Language Portfolio B1 to communicate effectively in oral and written form. | |
| PLO13 | - | Students gain the ability to communicate using technical drawing. | |
| PLO14 | - | Students become informed of professional and ethical responsibility. | |
| PLO15 | - | Students develop an awareness as regards project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. | |
| PLO16 | - | Students develop an awareness of the universal and social effects of engineering solutions and applications, the entrepreneurship and innovation subjects and gain knowledge of contemporary issues |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definition of Differential Equations and Classification | Literature research | |
| 2 | Iitial and Bounded Value Problems | Literature research | |
| 3 | Obtained Differential Equations | Literature research | |
| 4 | Exact Differential Equations and Integrating Factor | Literature research | |
| 5 | Seperable Differential Equations | Literature research | |
| 6 | Homogenous Differential Equations | Literature research | |
| 7 | Linear and Bernouilli Differential Equations | Literature research | |
| 8 | Midterm Exam | ||
| 9 | Main theory of High order Linear Differential Equations | Literature research | |
| 10 | Homogenous Differential Equations with Costant Coefficient | Literature research | |
| 11 | Homogenous Differential Equations with Costant Coefficient | Literature research | |
| 12 | Uncertain Coefficient Method | Literature research | |
| 13 | Method of the variation of Parameters | Literature research | |
| 14 | Cauchy-Euler Equation | Literature research | |
| 15 | General Review | Literature research | |
| 16 | Final exam | ||
| 17 | Final exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | -20 |
| 1. Midterm Exam | 100 | -20 |
| General Assessment | ||
| Midterm / Year Total | 200 | -20 |
| 1. Final Exam | - | 60 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 10 | 10 |
| Total Workload (Hour) | 88 | ||
| Total Workload / 25 (h) | 3,52 | ||
| ECTS | 5 ECTS | ||