GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
NUMERICAL ANALYSIS/MAT-202
Course Title: NUMERICAL ANALYSIS
Credits 3 ECTS 4
Semester 4 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof. Dr. Can CINAR
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/cancinar
 -- EMAIL(S) OF LECTURER(S)
  cancinar@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Students are expected to have basic knowledge of numerical derivation and integration and solution of differential equations with numerical methods,
Students are expected to be able to apply basic numerical methods to engineering problems,
Students are expected to be able to develop algorithms and programs in a computer language,






 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisiteco-requisite for this course
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Solving systems of linear equations, Cramer,s rule, Jacobi iteration, Gauss-Seidel method, Over-relaxation method, Gauss-JordanGauss-Elimination
2. Week  Solving systems of non-linear equations, Cramer,s rule, Secant method, Newton-Raphson method, computer applications
3. Week  Interpolationextrapolation, linear interpolation, extrapolation using Taylor series, extrapolation with divided differences, Lagrange interpolation
4. Week  Least squares approximations of power series, quadratic least square, exponentially weighted least square, trigonometric approximation of least square
5. Week  Numerical differentiation, numerical partial differentiation, Taylor series methoderror analysis, numerical differentiation with divided differences,
6. Week  Numerical integration, rectangle rule, trapezoid rule, Simpson1/3, 1/8 rules, computer applications
7. Week  Multi-dimensional integrals, Romberg rule of integration, computer applications
8. Week  Midterm exam
9. Week  Fourier series, Fourier coefficients, Fourier series of oddeven functions
10. Week  Ordinary differential equations, Initial value problems, Euler method, taylor series method, Runge-kutta method
11. Week  Initial value problems, computer applications
12. Week  Boundary value problems, shooting method, finite difference method
13. Week  Boundary value problems, computer applications
14. Week  Partial-differential equations, Numerical solution of elliptic partial-differential equations (Laplace,s Equation)
15. Week  Parabolic equations, Hyperbolic equations, computer applications
16. Week  FINAL EXAM
 -- RECOMMENDED OR REQUIRED READING
  1. Gerald, C. F., Applied Numerical Analysis, Second Edition, Addison-Wesley Publishing Company, 1980. 2. Chapra, S.C., Canale, R.P., Numerical Metho
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
20
 Assignment
2
10
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
1
10
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- 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
2
20
 Searching in Internet and Library
0
 Designing and Applying Materials
0
 Preparing Reports
5
2
10
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
14
14
 Final and Studying for Final
1
14
14
 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
1Capability of obtaining adequate knowledge in mathematics, science and engineering subjects in the automotive field; applying theoretical and practical knowledge for modeling and solving engineering problems in this field.X
2Capability of formulation and solving engineering problems; for this purpose selecting and appliying the appropriate analysis and modeling methods.X
3Capability of evaluation of engine and vehicle design projects, designing any engine and vehicle parts, to bring prototype and series production stage.X
4Capability of design of complex systems for specific needs, component or process in whole or in part.X
5Capability of development of modern methods and tools necessary for engineering applications, selection and effective use and to use of information technologies effectively.X
6Capability of analysis of the engineering problems and for the solution designing and performing experiments, collecting data, analyzing and interpretting the results.X
7Capability of work in team and individual and ability to work effectively with other disciplines.X
8Capability of effective communication both verbal and written in Turkish and at least one foreign language konwledgeX
9Capability of access to information in the framework of lifelong learning, to follow the developments in science and technology and self-improvement.X
10Resposibility of professional and ethical liability.X
11Awareness of leadership, entrepreneurship, innovation and sustainable development in business life.X
12Being competent in the engineering applications, legislations, legal consequences and in the field of occupational health and safety.X
13Capability of research and application in the subjects of noise, environment and emissions.X
14Capability of making education in the field.X