COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Differential Equations TYP   201 3 2 3 5

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof. Dr. Zerrin Gül ESMERLİGİL
Instructors
Prof. Dr.ZERRİN GÜL ESMERLİGİL1. Öğretim Grup:A
 
Assistants
Goals
To examine all the parameters of climate such as heat, rainfall, wind and etc.
Content
Meteorology,Atmosphere,Energy,Heat and Temperature,Humidity,Condensation,Rainfall,Air Pressure,Winds,Air Mass,Air Front,Global Climate,Agriculture and Meteorology

Learning Outcomes
1) Student, who succeed this course ; Makes definition and classification of differential equations
2) Obtains a differential equations eliminating arbitrary constants that given in a function
3) Knows general types of differential equations of first order and finds general solutions of them
4) Knows main theory of higher order Linear differential equations
5) Finds general solutions homogeneous and nonhomogeneous Linear differential equations with constant coefficients
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Makes aplication of engineering design of irrigation systems and conducts tests about the materıals used ın these systems and preapares reports
2
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 suita
3
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
Designs crop production systems, controls environmental domestic conditions and operates, makes the selection of materials to be used, tests and prepares a report.
5
Designs and projects small dams, ponds. Prepares and implements flood action plans within the scope of integrated watershed management.
6
Developes and implement s strategies of sustainable water management for the purposes of protecting water resources and agricultural production.
7
Developes and implements irrigation programmes using the soil-plant-water relations and soil engineering properties
X
8
Prepares land consolidation projects and applies. Provides farm developing systems. Prepares and implements rural development projects.
9
Exposes the problems about soil and water conservation (erosion) and water harvesting, prepares and implements the project.
10
Etudes drainage of agricultural lands, plans drainage systems,prepares projects and makes aplications, selects materials to be used, tests and prepares a report
11
Plans activities related to operation, maintenance and repairs irrigation network,developes project formulations in monitoring and evaluations, operates the irrigation networks.
12
Works independently and takes responsibility
X
13
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 .
X
14
Creates effective solutions for sustainable agricultural production
15
Accesses to the resources in the field, uses of these resources and continuous self-improvement
X
16
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 .
17
Has the ability to analyze problems ,make decisions and solve about professional subjects
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Definition of Differential Equations and Classification Lecture notes Lecture
Demonstration
2 Iitial and Bounded Value Problems Lecture notes Lecture
Demonstration
3 Obtained Differential Equations Lecture notes Lecture
Drilland Practice
Demonstration
4 Exact Differential Equations and Integrating Factor Lecture notes Lecture
Drilland Practice
Self Study
5 Seperable Differential Equations Lecture notes Lecture
Drilland Practice
Demonstration
Case Study
6 Homogenous Differential Equations Lecture notes Lecture
Discussion
Drilland Practice
Demonstration
Motivations to Show
Group Study
7 Linear and Bernouilli Differential Equations Lecture notes Lecture
Question-Answer
Discussion
Drilland Practice
Demonstration
Motivations to Show
Case Study
Self Study
Problem Solving
8 Midterm Exam Lecture notes Testing
9 Main theory of High order Linear Differential Equations Lecture notes Lecture
Drilland Practice
Demonstration
Group Study
10 Homogenous Differential Equations with Costant Coefficient Lecture notes Lecture
Drilland Practice
Demonstration
11 Nonhomogenous Differential Equations with Costant Coefficient Lecture notes Lecture
Demonstration
Group Study
Case Study
Problem Solving
12 The method of undetermined coefficients Lecture notes Lecture
Question-Answer
Discussion
Drilland Practice
Demonstration
13 Method of the variation of Parameters Lecture notes Lecture
Discussion
Demonstration
Motivations to Show
Group Study
14 Cauchy Euler Equations Lecture notes Lecture
Question-Answer
Drilland Practice
Demonstration
Group Study
Brain Storming
15 Laplace Dönüşümleri Lecture notes Lecture
Discussion
Drilland Practice
Motivations to Show
Case Study
Self Study
Problem Solving
16-17 Final Exam Review the topics Testing

Recommended or Required Reading
Textbook
Additional Resources