| Course Description |
|
| Course Name |
: |
Differential Equations |
|
| Course Code |
: |
MMD202 |
|
| Course Type |
: |
Compulsory |
|
| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
2 |
|
| Course Semester |
: |
Spring (16 Weeks) |
|
| ECTS |
: |
5 |
|
| Name of Lecturer(s) |
: |
Assoc.Prof.Dr. ZERRİN GÜL ESMERLİGİL
|
|
| Learning Outcomes of the Course |
: |
Student, who succed this course
Can make definition and classification of differential equations
Can obtain a differential equation eliminating arbitrary constants from a given function.
Can remember general type of differential equations of first order and can find general solutions of them
Can know about main theory of higher order linear differential equations.
Can find the general solutions of homogeneous and nonhomogeneous linear differential equations with constant coefficients.
Can find general solutions of Linear equations with constant coefficients using undetermined coefficients
Can find general solutions of Cauchy Euler equations
|
|
| Mode of Delivery |
: |
Face-to-Face |
|
| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
|
| Aim(s) of Course |
: |
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 Contents |
: |
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. |
|
| Language of Instruction |
: |
Turkish |
|
| Work Place |
: |
Classroom of Faculty of Enginerring |
|
|
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 |
|
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 |
Homogenous Differential Equations with Costant Coefficient |
None |
Lecture and dicussion |
|
13 |
Method of the variation of Parameters |
None |
Lecture and dicussion |
|
15 |
General Review |
None |
written exam |
|
16/17 |
Final Exam |
Review the topics |
written exam |
|
|
| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Students gain adequate knowledge about the engineering fields in the branches of mathematics, physical sciences or their own branches |
5 |
|
2 |
Students follow the current developments in their fields with a recognition of the need for lifelong learning and constantly improve themselves |
0 |
|
3 |
Students use the theoretical and practical knowledge in mathematics, physical sciences and their fields for engineering solutions |
5 |
|
4 |
Students choose and use the appropriate analytical mehtods and modelling techniques to identify, formulate, and solve the engineering problems |
3 |
|
5 |
Students design and carry out experiments, collect data, analyze and interpret the results. |
2 |
|
6 |
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 |
2 |
|
7 |
Students choose and use the modern technical tools necessary for engineering practice. |
0 |
|
8 |
Students gain the ability to work effectively both as an individual and in multi-disciplinary teams. |
1 |
|
9 |
Students use the resources of information and databases for the purpose of doing research and accesing information. |
4 |
|
10 |
Students follow the scientific and technological developments in recognition of the need for lifelong learning, and continuously keep their knowledge up to date. |
5 |
|
11 |
Students use the information and communication technologies together with the computer software at the level required by the European Computer Driving Licence. |
0 |
|
12 |
Students use a foreign language according to the general level of European Language Portfolio B1 to communicate effectively in oral and written form. |
0 |
|
13 |
Students gain the ability to communicate using technical drawing. |
0 |
|
14 |
Students become informed of professional and ethical responsibility. |
5 |
|
15 |
Students develop an awareness as regards project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
0 |
|
16 |
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 |
2 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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