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Information
| Unit | FACULTY OF ENGINEERING |
| CIVIL ENGINEERING PR. | |
| Code | IMZ217 |
| Name | Differential Equations |
| Term | 2017-2018 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN RIZKULLAH YERLİ |
| Course Instructor |
Prof. Dr. HÜSEYİN RIZKULLAH YERLİ
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the analitycal and numerical solutions of ordinary differential equations
Course Content
Ordinary differential equations of first order and first degree, Equations with separable variables, Homogeneous differential equations, Equations with functions of linear but nonhomogeneous, Exact differential equations, Linear differential equations
Course Precondition
Yok
Resources
Notes
Bronson, R., DİFERANSİYEL DENKLEMLER, Çeviri: H. H. Hacısalihoğlu, Nobel Kaplan, W., ELEMENTS OF DIFFERENTIAL EQUATIONS, Addison-Wesley
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Thinks analytically in problem solving |
| LO02 | Demonstrates ability to solve the differential equations in mathematical models in civil engineering |
| LO03 | Gains mathematical background for post-graduate education |
| LO04 | Learn to solve differential equations with separation of variable technique |
| LO05 | Learn to solve Exact differential equations |
| LO06 | Learn to solve Linear differential equations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has the basic knowledge of math, science and civil engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has a good commman of basic concepts, theories and principles in civil engineering. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions | 5 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Selects and uses the modern techniques and tools necessary for engineering practice | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Gains the abiltiy to work effectively as a member in interdisciplinary teams | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Identifies proper sources of information and databases, reaches them and uses them efficiently. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Uses the computers and information technologies related with civil engineering actively. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Gains the ability to communicate effectively both orally and in writing. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Communicates using technical drawing | |
| PLO13 | Bilgi - Kuramsal, Olgusal | Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. | |
| PLO14 | Bilgi - Kuramsal, Olgusal | Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements. | |
| PLO15 | Bilgi - Kuramsal, Olgusal | Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. | |
| PLO16 | Bilgi - Kuramsal, Olgusal | Has an awareness of professional and ethical responsibility | |
| PLO17 | Bilgi - Kuramsal, Olgusal | Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic ideas | ||
| 2 | Ordinary differential equations; Equations of first order and first degree, Equations with separable variables | Revision of previous lecture | |
| 3 | Homogeneous differential equations, Equations with functions of linear but nonhomogeneous | Revision of previous lecture | |
| 4 | Solution of Differential equations | Revision of previous lecture | |
| 5 | Exact differential equations, Exact differential equations with integrating factors | Revision of previous lecture | |
| 6 | Linear and equations can be reduced to linear equations of first order | Revision of previous lecture | |
| 7 | Midterm exam | ||
| 8 | Differential equations of first order and higher degree | ||
| 9 | Equations of higher order; Simple equations, Equations having one variable | Revision of previous lecture | |
| 10 | Linear equations of order n, Equations with constant coefficients | Revision of previous lecture | |
| 11 | Particular solution of nonhomogeneous linear equations | Revision of previous lecture | |
| 12 | Particular solution of nonhomogeneous linear equations, Solution of linear equations using Laplace transformation | Revision of previous lecture | |
| 13 | Linear equations with variable coefficients, Systems of simultaneous linear equations | Revision of previous lecture | |
| 14 | Partial differential equations | Revision of previous lecture | |
| 15 | Numerical solution of differential equations | Revision of previous lecture | |
| 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 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 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 | 3 | 42 |
| 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 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||