EEE209 Differential Equations

7 ECTS - 4-0 Duration (T+A)- 3. Semester- 4 National Credit

Information

Code EEE209
Name Differential Equations
Semester 3. Semester
Duration (T+A) 4-0 (T-A) (17 Week)
ECTS 7 ECTS
National Credit 4 National Credit
Teaching Language İngilizce
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Doç. Dr. MUSTAFA KEREM ÜN


Course Goal

To teach the student differential equations and their applications in electrical and general engineering fields.

Course Content

Introduction. First order equations. Second order linear homogeneous equations. Second order linear inhomogeneous equations. Higher order linear equations. Systems of linear equations. Solution with power series. Laplace transform.

Course Precondition

None.

Resources

Notes on Diffy Qs: Differential Equations for Engineers - Jiri Lebl

Notes

Internet Sources


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Categorizes differential equations.
LO02 Proposes solution methods for the equations he/she has categorized.
LO03 Writes and solves the first order equations of physical systems.
LO04 Solves constant coefficient, nonhomogeneous equations.
LO05 Solve appropriate equations using Laplace transform.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. 5
PLO02 Bilgi - Kuramsal, Olgusal Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. 4
PLO03 Bilgi - Kuramsal, Olgusal Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. 2
PLO04 Bilgi - Kuramsal, Olgusal Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ computer programming techniques, and information technologies effectively. 5
PLO05 Bilgi - Kuramsal, Olgusal Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.
PLO06 Bilgi - Kuramsal, Olgusal Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PLO07 Bilgi - Kuramsal, Olgusal Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations,
PLO08 Bilgi - Kuramsal, Olgusal Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PLO09 Bilgi - Kuramsal, Olgusal Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
PLO10 Bilgi - Kuramsal, Olgusal Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
PLO11 Bilgi - Kuramsal, Olgusal Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions. 1
PLO12 Bilgi - Kuramsal, Olgusal Ability to apply the knowledge of electrical-electronics engineering to profession-specific tools and devices.
PLO13 Bilgi - Kuramsal, Olgusal Having consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in. 1


Week Plan

Week Topic Preparation Methods
1 Introduction to ordinary differential equations (ODE) None. Öğretim Yöntemleri:
Anlatım
2 First order ODEs, seperation of variables, physical applications. Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
3 First order ODEs, exact differentials Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
4 First order ODEs, integrating factors Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
5 General first order linear ODEs Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
6 Second order ODEs, solution of constant coefficient, homogeneous equations Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
7 Methods of undetermined coefficients and variation of parameters Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Review of the material covered sofar Ölçme Yöntemleri:
Yazılı Sınav
9 Higher order ODEs Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
10 Solution of systems of ODEs Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
11 Solution of systems of ODEs (continued) Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
12 Solution with power series. Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
13 Laplace transform Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
14 Laplace transform - 2 Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
15 Review Review of the material of the previous lecture Öğretim Yöntemleri:
Anlatım
16 Term Exams Review of the entire course material Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Review of the entire course material Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 4 56
Out of Class Study (Preliminary Work, Practice) 14 6 84
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 8 8
Final Exam 1 16 16
Total Workload (Hour) 164
Total Workload / 25 (h) 6,56
ECTS 7 ECTS