IMZ217 Differential Equations

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

Information

Code IMZ217
Name Differential Equations
Term 2024-2025 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
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. HÜSEYİN RIZKULLAH YERLİ
Course Instructor Prof. Dr. HÜSEYİN RIZKULLAH YERLİ (A Group) (Ins. in Charge)


Course Goal / Objective

To learn 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

None

Resources

H.R. Yerli, Differential Equations Lecture Notes

Notes

H.R. Yerli, Differential Equations Lecture Notes


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 3
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 3
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 Have a lecture note Öğretim Yöntemleri:
Anlatım
2 Ordinary differential equations Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 Solution methods of differential equations Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
4 Differential equations with separable variables Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
5 Problem solution of Differential equations with separable variables Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 Homogeneous differential equations Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
7 Problem Solution of Homogeneous Differential equations Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
8 Mid-Term Exam Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Solution of example problems Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
10 Solution of Differential equations Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
11 Exact differential equations Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
12 Exact differential equations with integrating factors Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
13 Exact differential equation problems Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
14 Linear equations of first order Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
15 Example problem Solutions of First order Linear differential equations Revision of previous lecture Öğretim Yöntemleri:
Anlatım, Problem Çözme
16 Term Exams Exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Exam Ölçme Yöntemleri:
Yazılı Sınav


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

Update Time: 24.10.2024 08:09