GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS/MAT 213
Course Title: DIFFERENTIAL EQUATIONS
Credits 3 ECTS 5
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assoc.Prof. Dr. Fatma AYAZ
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/fayaz
 -- EMAIL(S) OF LECTURER(S)
  fayaz@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
In several ways to give perspective to students in mathematical thinking .
Revealing the relation of mathematics with real world applications.
Determining komplex engineering problems, defining these problems and gaining skills for solving the problems.
Choosing suitable modelling methods and to gain skills for applying these methods.
Connection between Differential equations and phenomenon and then setting the equations.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  Calculus I,II
 --COURSE CONTENT
1. Week  Classification of differential equations, Seperable equations
2. Week  Homogeneous equations
3. Week  Exact differensiyel equations and integration factor,
4. Week  Linear equation, Bernoulli equation
5. Week  Higher order linear differential equation, basic theory, reduction of order
6. Week  Linear equation with constant coefficiants,homogeneous constant coefficient equations
7. Week  Non-homogeneous lineer differential equations, the method of undetermined coefficients,
8. Week  Midterm exam ,
9. Week  The method of variation of parameters,
10. Week  Higher order lineer equation with variable coefficients, Euler-Cauch equations,
11. Week  Laplace transform, Basic properties,
12. Week  Solution of initial value problems with Laplace Transform
13. Week  First order linear equation systems, Basic theory of linear system
14. Week  Solving linear systems,
15. Week  Applications of differential equations to real world problemleri
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
  1) Ersen Akyıldız, et all, Lectures on differential equations, Matematik Vakfı, Yayın No 1,2000 2)• S.L.Ross(1984), Differential Equations, Wiley and Sons.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
50
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
1
10
 Contribution of In-term Studies to Overall Grade  
60
 Contribution of Final Examination to Overall Grade  
40
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
3
8
24
 Searching in Internet and Library
3
8
24
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
12
12
 Final and Studying for Final
1
10
10
 Other
0
 TOTAL WORKLOAD: 
126
 TOTAL WORKLOAD / 25: 
5.04
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.X
2Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.X
3Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues, according to the nature of the design.)X
4Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.X
5Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems.X
6Ability to work efficiently in intra-disciplinary teams.X
7Ability to work efficiently in multi-disciplinary teams; ability to work individually.X
8Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language.X
9Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.X
10Awareness of professional and ethical responsibility.X
11Information about business life practices such as project management, risk management, and change management.X
12Information about awareness of entrepreneurship, innovation, and sustainable development.X
13Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety.X
14Knowledge about awareness of the legal consequences of engineering solutions.X