TLZ201 Math III

5 ECTS - 3-0 Duration (T+A)- 3. Semester- 3 National Credit
Information About Course

Information
Goal, Content & Resources
Course Learning Outcomes
Relation with Program Learning Outcome
Week Plan
Student Workload - ECTS

Information

Code TLZ201
Name Math III
Semester 3. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 5 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Doç. Dr. LEYLA BUGAY


Course Goal

Diferansiyel denklemlere giriş, Diferansiyel denklemlerin tanımı ve sınıflandırılması

Course Content

Diferansiyel denklemlere giriş, Diferansiyel denklemlerin tanımı ve sınıflandırılması

Course Precondition

Basic knowledge of derivatives and integrals is required.

Resources

Differentiel Equuations, L.Shipley Ross Differentiel Equuations, Frank Ayres Differential Equations, Lester R. Ford

Notes

Diferansiyel Denklemler ve Uygulamaları, mehmet Aydın, Gönül Gündüz,Beno Kuryel


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Recognizes some differential equations.
LO02 Recognizes first order differantial equations.
LO03 Recognizes exact differantial equations.
LO04 Recognizes linear differantial equations.
LO05 Recognizes and solves Cauchy - Euler equations.
LO06 Recognizes to find the solution of certain differantial equations by using Laplace transformations.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Has sufficient background in the fields of Mathematics, Science and Textile Engineering 4
PLO02 Bilgi - Kuramsal, Olgusal Uses the knowledge obtained from the basic sciences and engineering in the field of textile engineering 3
PLO03 Bilgi - Kuramsal, Olgusal Does process analysis, Identifies problems, interprets and evaluates data in the field of textile engineering 4
PLO04 Bilgi - Kuramsal, Olgusal Selects and uses modern techniques and tools for engineering applications 4
PLO05 Bilgi - Kuramsal, Olgusal Has the skills of designing experiments, data collection, cognitive analysis and interpretation of the results 3
PLO06 Bilgi - Kuramsal, Olgusal Works effectively both individually and as a team member and takes responsibility 3
PLO07 Beceriler - Bilişsel, Uygulamalı Searches literature, has access to information, uses databases and other sources of information 4
PLO08 Beceriler - Bilişsel, Uygulamalı Recognizes the need of lifelong learning; follows developments in science and technology and renews self continuosly 3
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Has effective oral and written communication skills. 4
PLO10 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Follows developments in the field in a foreign language, has good communication skills with colleagues.
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Uses information and communication technologies and softwares at a required level 1
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Defines learning requirements in scientific, social, cultural and artistic areas and improves himself/herself accordingly. 2
PLO13 Yetkinlikler - Öğrenme Yetkinliği Has the professional and ethical responsibility. 2
PLO14 Yetkinlikler - Öğrenme Yetkinliği Has the necessary awareness on the fields of occupational health and safety, legal side of engineering applications and environmental health. 2
PLO15 Yetkinlikler - Öğrenme Yetkinliği Has required competence in project management, entrepreneurship and innovation. 1
PLO16 Bilgi - Kuramsal, Olgusal An ability to identify, formulate, and solve complex engineering problems by selecting appropriate analysis and modeling methods. 4


Week Plan

Week Topic Preparation Methods
1 Differential equations and their solutions Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
2 Classification of differential equations Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap
3 Initial value problemsand existence of their solutions Required readings Öğretim Yöntemleri:
Anlatım, Soru-Cevap
4 Exact differential equations and integrating factor Required readings Öğretim Yöntemleri:
Anlatım
5 Seperable equations and equations reducible to this form Required readings Öğretim Yöntemleri:
Anlatım
6 Linear equations and Bernoulli equations Required readings Öğretim Yöntemleri:
Anlatım
7 To find the solution of the linear differantial equations with higher order Required readings Öğretim Yöntemleri:
Soru-Cevap, Anlatım
8 Mid-Term Exam Review of the topics discussed in the lecture notes and sources again Ölçme Yöntemleri:
Yazılı Sınav
9 The homogeneous linear equations with constant coefficients Required readings Öğretim Yöntemleri:
Problem Çözme
10 The method of undetermined coefficients Required readings Öğretim Yöntemleri:
Anlatım
11 Variations of parameters Required readings Öğretim Yöntemleri:
Anlatım
12 Cauchy - Euler equations Required readings Öğretim Yöntemleri:
Problem Çözme
13 System of linear differantial equations Required readings Öğretim Yöntemleri:
Anlatım
14 Laplace transformations Required readings Öğretim Yöntemleri:
Problem Çözme
15 Basic properties of Laplace transformations Required readings Öğretim Yöntemleri:
Anlatım
16 Term Exams Review of the topics discussed in the lecture notes and sources again Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Review of the topics discussed in the lecture notes and sources again 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 12 12
Final Exam 1 18 18
Total Workload (Hour) 114
Total Workload / 25 (h) 4,56
ECTS 5 ECTS