TYP201 Differential Equations

5 ECTS - 2-2 Duration (T+A)- 3. Semester- 3 National Credit

Information

Code TYP201
Name Differential Equations
Term 2022-2023 Academic Year
Semester 3. Semester
Duration (T+A) 2-2 (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 Arş.Gör.Dr. MELEK YAĞCI
Course Instructor Doç. Dr. NERGİZ POYRAZ (A Group) (Ins. in Charge)


Course Goal / Objective

This course aims to introduce basic ideas on differential equations and to solve this equations to the students.

Course Content

Differential equations and their classification, First order differential equations, Exact differential equations, Linear differential equations, Bernoulli differential equations, Cauchy Euler differential equations, Linear differential equations systems, Laplace transformations

Course Precondition

None

Resources

Shepley L.Ross, Differential Equations

Notes

Boyce E. W. and DiPrima C. R., Elementary Differential Equations and Boundary Value Problems


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Student, who succeed this course ; Makes definition and classification of differential equations
LO02 Obtains a differential equations eliminating arbitrary constants that given in a function
LO03 Knows general types of differential equations of first order and finds general solutions of them
LO04 Knows main theory of higher order Linear differential equations
LO05 Finds general solutions homogeneous and nonhomogeneous Linear differential equations with constant coefficients


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Makes aplication of engineering design of irrigation systems and conducts tests about the materıals used ın these systems and preapares reports 4
PLO02 Bilgi - Kuramsal, Olgusal Developes and implements strategies for wastewater, drainage water, runoff water such as treated waste water re-use of non-conventional water without adversely affecting the environment, makes laboratory analysis about saline alkali soils and water suitability to irrigation and reports. 3
PLO03 Bilgi - Kuramsal, Olgusal Prepares project about soil and water structures, animal houses, storage structures and crop production structures. Analyzes in terms of static and strength. Determines the properties of materials used in construction and makes the relevant tests. 4
PLO04 Bilgi - Kuramsal, Olgusal Designs crop production systems, controls environmental domestic conditions and operates, makes the selection of materials to be used, tests and prepares a report. 3
PLO05 Bilgi - Kuramsal, Olgusal Designs and projects small dams, ponds. Prepares and implements flood action plans within the scope of integrated watershed management. 3
PLO06 Bilgi - Kuramsal, Olgusal Developes and implement s strategies of sustainable water management for the purposes of protecting water resources and agricultural production. 4
PLO07 Bilgi - Kuramsal, Olgusal Developes and implements irrigation programmes using the soil-plant-water relations and soil engineering properties 3
PLO08 Bilgi - Kuramsal, Olgusal Prepares land consolidation projects and applies. Provides farm developing systems. Prepares and implements rural development projects. 4
PLO09 Bilgi - Kuramsal, Olgusal Exposes the problems about soil and water conservation (erosion) and water harvesting, prepares and implements the project. 3
PLO10 Bilgi - Kuramsal, Olgusal Etudes drainage of agricultural lands, plans drainage systems,prepares projects and makes aplications, selects materials to be used, tests and prepares a report 4
PLO11 Bilgi - Kuramsal, Olgusal Plans activities related to operation, maintenance and repairs irrigation network,developes project formulations in monitoring and evaluations, operates the irrigation networks. 4
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Works independently and takes responsibility 5
PLO13 Beceriler - Bilişsel, Uygulamalı Has the ability to design and apply analytical, modelling and experimental researches,and acquires the skill of analyzing and interpreting the complex issiues occured during this process . 5
PLO14 Beceriler - Bilişsel, Uygulamalı Creates effective solutions for sustainable agricultural production 5
PLO15 Yetkinlikler - Öğrenme Yetkinliği Accesses to the resources in the field, uses of these resources and continuous self-improvement 4
PLO16 Yetkinlikler - Alana Özgü Yetkinlik Developes projects to protect natural resources like water,and offers the benefit to society, using the information of basic engineering, basic agricultural engineering and agricultural structures and irrigation engineering . 5
PLO17 Yetkinlikler - Alana Özgü Yetkinlik Has the ability to analyze problems ,make decisions and solve about professional subjects 5


Week Plan

Week Topic Preparation Methods
1 Definition of Differential Equations and Classification Lecture notes Öğretim Yöntemleri:
Anlatım, Gösteri
2 Iitial and Bounded Value Problems Lecture notes Öğretim Yöntemleri:
Anlatım, Gösteri
3 Obtained Differential Equations Lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösteri
4 Exact Differential Equations and Integrating Factor Lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma
5 Seperable Differential Equations Lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösteri, Örnek Olay
6 Homogenous Differential Equations Lecture notes Öğretim Yöntemleri:
Anlatım, Tartışma, Alıştırma ve Uygulama, Gösteri, Gösterip Yaptırma, Grup Çalışması
7 Linear and Bernouilli Differential Equations Lecture notes Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Gösteri, Gösterip Yaptırma, Örnek Olay, Bireysel Çalışma, Problem Çözme
8 Midterm Exam Lecture notes Ölçme Yöntemleri:
Yazılı Sınav
9 Main theory of High order Linear Differential Equations Lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösteri, Grup Çalışması
10 Homogenous Differential Equations with Costant Coefficient Lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama, Gösteri
11 Nonhomogenous Differential Equations with Costant Coefficient Lecture notes Öğretim Yöntemleri:
Anlatım, Gösteri, Grup Çalışması, Örnek Olay, Problem Çözme
12 The method of undetermined coefficients Lecture notes Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma, Alıştırma ve Uygulama, Gösteri
13 Method of the variation of Parameters Lecture notes Öğretim Yöntemleri:
Anlatım, Tartışma, Gösteri, Gösterip Yaptırma, Grup Çalışması
14 Cauchy Euler Equations Lecture notes Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Gösteri, Grup Çalışması, Beyin Fırtınası
15 Laplace Dönüşümleri Lecture notes Öğretim Yöntemleri:
Anlatım, Tartışma, Alıştırma ve Uygulama, Gösterip Yaptırma, Örnek Olay, Bireysel Çalışma, Problem Çözme
16 Final Exam Review the topics Ölçme Yöntemleri:
Yazılı Sınav
17 Final Exam Review the topics Ölçme Yöntemleri:
Yazılı Sınav

Update Time: 30.09.2022 11:14