GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
NUMERICAL ANALYSIS/MAT202
Course Title: NUMERICAL ANALYSIS
Credits 3 ECTS 4
Semester 4 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Ass. Prof. Kürşat YILDIZ
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/kursaty
 -- EMAIL(S) OF LECTURER(S)
  kursaty@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Demonstrate basic knowledge of Mathematics, its scope, application, history, problems, methods, and usefulness to mankind both as a science and as an
Relate mathematics to other disciplines and develop mathematical models for multidisciplinary problems
Identify, formulate, and analyze real world problems with statistical or mathematical techniques.
Develop mathematical, communicative, problem-solving, brainstorming skills.
Utilize technology as an effective tool in investigating, understanding, and applying mathematics.




 -- 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  Number systems and errors: Representation of integers and fractions.
2. Week  Floating point arithmetic, loss of significance and error propagation.
3. Week  Interpolation by polynomial:Polynomial forms, existence and uniqueness of interpolating polynomial.
4. Week  Interpolation by polynomial: Divided difference table, the error of interpolating polynomial.
5. Week  Numerical differentiation, numerical integration-some basic rules and Gauss rules.
6. Week  Numerical integration: Composite rules, adaptive quadrature.
7. Week  The solution of non-linear equations: A survey of iterative methods, fixed point iteration.
8. Week  Midterm Exam
9. Week  The solution of non-linear equations:Convergence acceleration for fixed point iteration, convergence of Newton and Secant methods.
10. Week  The solution of non-linear equations: Polynomial equations- real roots, complex roots- Müller method.
11. Week  Matrices and Systems of Linear Equations: Properties of matrices, the solution of linear systems by elimination.
12. Week  Matrices and Systems of Linear Equations:Pivoting strategies, the triangular factorization.
13. Week  Matrices and Systems of Linear Equations:Error and residual of an approximate solution; norm.
14. Week  Matrices and Systems of Linear Equations:Backward-error analysis and iterative improvement.
15. Week  Determinants and the eigenvalue problem.
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  -
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  -
 -- WORK PLACEMENT(S)
  -
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 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
0
 Searching in Internet and Library
0
 Designing and Applying Materials
10
2
20
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
10
10
 Final and Studying for Final
2
10
20
 Other
0
 TOTAL WORKLOAD: 
92
 TOTAL WORKLOAD / 25: 
3.68
 ECTS: 
4
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Having a sufficient substructure concerning basic mathematics as well as natural and applied sciences, also having the competence in use of theoretical knowledge along with application experiences in engineering solutionsX
2Equipped with determination, formulation and solution skills of complex engineering problems, and having the ability to select and apply appropriate analysis and modeling methodsX
3Ability to design a complex system, process, equipment or product meeting certain needs under realistic limitations and conditions. In this way, having the skill to use modern designing methods (realistic limitations and conditions include subjects such as economics, environmental conditions, sustainability, productivity, ethics, health, security, social and political problems)X
4Having the ability to develop, select and use of modern methods and tools, talented to use of informatics technologies effectivelyX
5Having the ability to design an experimental setup, carry out experiments, acquire data, analyze and interpret the outcomesX
6Having the ability to study in interdisciplinary and multidisciplinary teams effectively and talented to carry out individual studiesX
7Having the ability in written and oral Turkish communication and use of a foreign language (at least)X
8Awareness of the necessity of lifelong learning, having the ability to access knowledge, following developments in science and technology and renewing himself/herselfX
9Awareness of professional and ethical responsibilitiesX
10Having informed of applications in professional life including project and amendment management, awareness of entrepreneurship, reformism and sustainable developmentX
11Information regarding the universal and social effects of engineering applications on health, environment and security as well as problems of era; awareness of legal results of engineering solutionsX
12Possessing administrative skillsX