GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
DIFFERENTIAL EQUATIONS/MATH201
Course Title: DIFFERENTIAL EQUATIONS
Credits 3 ECTS 5
Course Semester 3 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  English
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
Understand the differential equation concept.
Learning the types of differential equation.
Be able to formulate mathematical models for engineering problems
Be able to determine the particular and general solutions of the first and second-order differential equations.
Be able to solve the differential equations with Laplace transform.

 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Mathematical models. Definition of linear and nonlinear differential equations . Separable equations.
2. Week  Solution of for various linear and nonlinear forms in y of f(x,y).
3. Week  Exact differential equations. Integrating factors. Linear first-order equation. Existence and uniqueness of solutions. Picard’s iteration.
4. Week  Second-order constant-coefficient linear differential equations. Higher-order differential equations.
5. Week  Characteristic equation and case of real repeated and complex roots.Euler’s formula for complex exponential function. Cauchy-Euler.
6. Week  The nonhomogeneous equation and applications of second order differential equations
7. Week  Laplace transform method. First and second shifting theorems
8. Week  Laplace transform method. First and second shifting theorems
9. Week  Transformation of initial-value problems with various discontinuous loading functions
10. Week  Convolution. Unit impulses and the dirac delta function.
11. Week  Laplace Transfom solution of Systems.
12. Week  Differential equations with polynomial coefficients
13. Week  Power series solutions of initial value problems.
14. Week  Singular points and the method of Frobenius.
15. Week  Final
16. Week  Final
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
4
56
 Weekly Tutorial Hours
0
 Reading Tasks
0
 Searching in Internet and Library
2
8
16
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
22
22
 Final Exam and Preperation for Final Exam
1
31
31
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
125
 TOTAL WORKLOAD / 25: 
5
 Course Credit (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 knowledgein these areas in complex 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.X
4Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
5Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.
6Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.X
8Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
9Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
10Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
 -- NAME OF LECTURER(S)
   (Mathematics Department Teaching Members)
 -- WEB SITE(S) OF LECTURER(S)
   ()
 -- EMAIL(S) OF LECTURER(S)
   (fefmatematik@gazi.edu.tr)