GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ADVACED NUMERICAL METHODS IN ENGINEERING/5971310
Course Title: ADVACED NUMERICAL METHODS IN ENGINEERING
Credits 3 ECTS 7.5
Semester 1 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Nuri YUCEL
 -- WEB SITE(S) OF LECTURER(S)
  http://w3.gazi.edu.tr/~nuyucel/ , http://www.websitem.gazi.edu.tr/site/nuyucel
 -- EMAIL(S) OF LECTURER(S)
  nuyucel@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Knowledge about fundamentals of numerical methods
Knowledge about numerical methods used in ordinary differential equations encountered in engineering.
Knowledge about numerical methods used in partial differential equations encountered in engineering.
Application of numerical methods to the engineering problems.
 -- 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  Fundamentals of Numerical Methods: Solution of non-linear equations; solution methods for systems of linear algebraic equations.
2. Week  Fundamentals of Numerical Methods: Numeric integration (rectangular; trapezoidal; Simpson’s; Gauss-quadratures) methods
3. Week  Fundamentals of Numerical Methods: Interpolation, curve fitting, numeric differentiation.
4. Week  Ordinary Differential Equations: First order initial value problems (Euler’s method, three-term Taylor series method; Runge-Kutta method).
5. Week  Ordinary Differential Equations: Second and higher order initial value problems (Taylor series method; Runge-Kutta method; Runge-Kutta-Nystrom method
6. Week  Ordinary Differential Equations: Boundary value problems; mixed boundary conditions; shooting method.
7. Week  Midterm exam I
8. Week  Numerical Solutions of Parabolic Equations: Explicit method; implicit methods.
9. Week  Numerical Solutions of Parabolic Equations: Mixed boundary conditions; convergence and stability.
10. Week  Numerical Solutions of Hyperbolic Equations: Explicit method; Courant-Lewy-Friedrichs condition.
11. Week  Numerical Solutions of Hyperbolic Equations: Method of characteristics
12. Week  Midterm exam II
13. Week  Numerical Solutions of Elliptic Equations: Control volume formulation; boundary conditions.
14. Week  Numerical Solutions of Parabolic Equations: Formulation for curved boundaries; Gauss-Seidel iteration method.
15. Week  Numerical Solutions of Parabolic Equations: Formulation for curved boundaries; Gauss-Seidel iteration method.
16. Week  Final
 -- RECOMMENDED OR REQUIRED READING
  Rao, S. S. (2002). Applied Numerical Methods for Engineers and Scientists. Prentice Hall. Smith, G.D. Numerical Solution of Partial Differential Equations. Clarendon Press – Oxford. Chapra, S. C. And Canale R. P. (1998). Numerical Methods for Engineers. Fifth Edition. McGraw-Hill Book Company.
 -- 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
2
60
 Assignment
8
0
 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
10
3
30
 Searching in Internet and Library
10
3
30
 Designing and Applying Materials
0
 Preparing Reports
8
6
48
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
2
12
24
 Final and Studying for Final
1
12
12
 Other
0
 TOTAL WORKLOAD: 
186
 TOTAL WORKLOAD / 25: 
7.44
 ECTS: 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Ability to access wide and deep information with scientific researches in the field of Engineering, evaluate, interpret and implement the knowledge gained in his/her field of studyX
2Ability to complete and implement “limited or incomplete data” by using the scientific methods.X
3Ability to consolidate engineering problems, develop proper method(s) to solve and apply the innovative solutions to themX
4Ability to develop new and original ideas and method(s), to develop new innovative solutions at design of system, component or processX
5Gain comprehensive information on modern techniques, methods and their borders which are being applied to engineeringX
6Ability to design and apply analytical, modelling and experimental based research, analyze and interpret the faced complex issues during the design and apply processX
7Gain high level ability to define the required information and dataX
8Ability to work in multi-disciplinary teams and to take responsibility to define approaches for complex situationsX
9Systematic and clear verbal or written transfer of the process and results of studies at national and international environmentsX
10Aware of social, scientific and ethical values guarding adequacy at all professional activities and at the stage of data collection, interpretation, and announcementX
11Aware of new and developing application of profession and ability to analyze and study on those applicationsX
12Ability to interpret engineering application’s social and environmental dimensions and it’s compliance with the social environmentX