MDZ202 Differential Equations

4 ECTS - 2-0 Duration (T+A)- 4. Semester- 2 National Credit

Information

Code MDZ202
Name Differential Equations
Term 2023-2024 Academic Year
Semester 4. Semester
Duration (T+A) 2-0 (T-A) (17 Week)
ECTS 4 ECTS
National Credit 2 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. ZERRİN GÜL ESMERLİGİL
Course Instructor Prof. Dr. ZERRİN GÜL ESMERLİGİL (A Group) (Ins. in Charge)


Course Goal / Objective

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 Content

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.

Course Precondition

None

Resources

Differential Equations L.Shipley ROSS

Notes

Lecture Notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Has the knowledge on initial problems
LO02 Can make definition and classification of differential equations
LO03 Can obtain a differential equation eliminating arbitrary constants from a given function.
LO04 Can remember general type of differential equations of first order and can find general solutions of them
LO05 Can know about main theory of higher order linear differential equations.
LO06 Can find the general solutions of homogeneous linear differential equations with constant coefficients.
LO07 Can find general solutions of with constant coefficients using undetermined coefficients.
LO08 Can find general solutions of Cauchy Euler equations
LO09 Has the knowledge on bounded value problems
LO10 Can find the general solutions of nonhomogeneous linear differential equations with constant coefficients.
LO11 Can find general solutions of Linear equations with constant coefficients.
LO12 Has the knowledge on the seperable Differential Equations


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Students has sufficient knowledge on theoretical and applied subjects in the light of contemporary knowledge and scientific approaches in the field of mining.
PLO02 Beceriler - Bilişsel, Uygulamalı Applies the knowledge she has received in the field of mining in multidisciplinary studies to produce solutions to the problems she has encountered.
PLO03 Beceriler - Bilişsel, Uygulamalı Analyzes problems with the help of up-to-date information and makes inferences for solutions. 4
PLO04 Beceriler - Bilişsel, Uygulamalı It applies physical, chemical, mechanical and mineralogical analyzes in accordance with TSE standards in field studies or laboratory conditions. 4
PLO05 Beceriler - Bilişsel, Uygulamalı Has the ability to analyze the engineering plans. 4
PLO06 Beceriler - Bilişsel, Uygulamalı It dominates the machinery park in mining enterprises and can use them for the execution of mining activities. 4
PLO07 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Students has the ability to solve the problems she encounters by working individually or in a team with other disciplines. 5
PLO08 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği It constantly follows the developments in the mining field, as it knows that the information is not static. 4
PLO09 Yetkinlikler - Öğrenme Yetkinliği It can use printed publications or databases to obtain the necessary information in mining processes. 5
PLO10 Yetkinlikler - Öğrenme Yetkinliği He/she carries out all his/her work in a planned way in order to constantly improve himself/herself and increase her knowledge level. 4
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Uses computers and other electronic resources in mining. 5
PLO12 Yetkinlikler - Öğrenme Yetkinliği Uses at least one foreign language at B1 General Level in order to communicate and access information. 3
PLO13 Yetkinlikler - Öğrenme Yetkinliği Performs technical drawings by thinking in three dimensions in the studies she has done in her field.
PLO14 Yetkinlikler - Öğrenme Yetkinliği It has the awareness of adhering to moral and ethical values while carrying out its mining activities. 5
PLO15 Yetkinlikler - Öğrenme Yetkinliği It is aware of the need to prioritize the environment and the health of employees, as it has an infrastructure on Occupational Health and Safety awareness in mining and their legal obligations.
PLO16 Yetkinlikler - Öğrenme Yetkinliği Knows that the solutions to the problems in the mining field affect societies and communities, so they have information about the innovative applications and models developed.


Week Plan

Week Topic Preparation Methods
1 Definition of Differential Equations and Classification Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
2 Iitial and Bounded Value Problems Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
3 Obtained Differential Equations Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
4 Exact Differential Equations and Integrating Factor Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
5 Seperable Differential Equations Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
6 Homogenous Differential Equations Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
7 Linear and Bernouilli Differential Equations Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
8 Midterm Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Main theory of High order Linear Differential Equations Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
10 Homogenous Differential Equations with Costant Coefficient I Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
11 Homogenous Differential Equations with Costant Coefficient II Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
12 Uncertain Coefficient Method Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
13 Method of the variation of Parameters Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
14 Cauchy-Euler Equation Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
15 General Review Literature research Öğretim Yöntemleri:
Anlatım, Tartışma
16 Final exam Ölçme Yöntemleri:
Yazılı Sınav
17 Final exam Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 2 28
Out of Class Study (Preliminary Work, Practice) 14 2 28
Assesment Related Works
Homeworks, Projects, Others 1 0 0
Mid-term Exams (Written, Oral, etc.) 1 8 8
Final Exam 1 24 24
Total Workload (Hour) 88
Total Workload / 25 (h) 3,52
ECTS 4 ECTS

Update Time: 03.05.2023 10:04