GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS/MAT213E
Course Title: DIFFERENTIAL EQUATIONS
Credits 3 ECTS 4
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Head of Department
 -- WEB SITE(S) OF LECTURER(S)
  
 -- EMAIL(S) OF LECTURER(S)
  
 -- LEARNING OUTCOMES OF THE COURSE UNIT
For the course to teach the basic concepts of differential equations
Teach special type of equations and their solutions
Teach Engineering and Physical applications
Teach the methods of solution for non-homogeneous equations
Teach sequential solution method to solve differential equations
Introduce Laplace transforms and Laplace transforms of some functions
 -- 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
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Classification of Differential Equations, Separable Equations
2. Week  Types of homogeneous differential equations
3. Week  Exact differential equations and integral multiplier
4. Week  Linear equations, Bernoulli and Riccati differential equations
5. Week  Engineering and Physical Applications
6. Week  High-order linear equations and the theory
7. Week  Solutions of the homogeneous equations with constant coefficients
8. Week  Solution techniques for non-homogeneous linear equations: method of undetermined coefficients
9. Week  Midterm exam
10. Week  Variation of parameters
11. Week  Linear differential equations with variable coefficients: Cauchy-Euler equation, Serial Method
12. Week  Introducing the Laplace transform and the Laplace transforms of certain functions
13. Week  Inverse Laplace transform and convolution
14. Week  Solutions of linear differential equations with constant coefficients using Laplace transformation
15. Week  Linear systems of linear differential equations with the Laplace transform solutions
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  Prof. Dr. Mehmet çağlayan,... Adi Diferensiyel Denklemler, Nobel Yayın Dağıtım http://websitem.gazi.edu.tr/site/mfahri/ects/view/id/58048
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Ensure the active participation of the student's course
 -- WORK PLACEMENT(S)
  -
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
45
 Assignment
0
15
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 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
3
42
 Practising Hours of Course Per Week
0
 Reading
14
1
14
 Searching in Internet and Library
0
 Designing and Applying Materials
14
1
14
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
15
15
 Final and Studying for Final
1
15
15
 Other
0
 TOTAL WORKLOAD: 
100
 TOTAL WORKLOAD / 25: 
4
 ECTS: 
4
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Has necessary theoretical and practical knowledge in mathematics, life sciences, computation and computer engineering fieldsX
2Defines engineering problems, comes up with feasible analytical approaches for the solution, selects and applies appropriate modeling methods and ICT techniquesX
3Has the ability of surveying the literature, gathering data, setting up and doing experiments, analyzing the results towards the solution of an engineering problemX
4Has the ability of designing and evaluating the system (which is the outcome of a solved problem) under real life requirements and constraintsX
5To realize the system design, applies efficient project management by ensuring careful resource and process planningX
6In multidisciplinary and disciplinary projects, works efficiently as a result oriented team leader or playerX
7Uses required ICT technologies and at least one computer software at the Advanced Level of European Computer Driving LicenseX
8Has the ability of communicating in English and Turkish, uses both languages to follow technological advancement in his area and to prepare technical documentsX
9Acknowledges the necessity of lifelong learning, hence has the ability of keeping himself updated and following the advancement in science and technologyX
10Has the awareness of ethical and professional responsibilities, has the knowledge of ICT Law Principles and applies them in his professional workX
11Considers the institutional, social and environmental effects of ICT applications and has the awareness of ethical rules in these areasX