GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
NUMERICAL ANALYSIS/IM343E
Course Title: NUMERICAL ANALYSIS
Credits 3 ECTS 3
Semester 5 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  English
 -- NAME OF LECTURER(S)
  Asst. Prof. Dr. Önder Koçyiğit
 -- WEB SITE(S) OF LECTURER(S)
  www.websitem.gazi.edu.tr/site/konder
 -- EMAIL(S) OF LECTURER(S)
  konder@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
An ability to use numerical methods
Modelling of engineering problems and development of solution strategies using numerical methods accordance with this model
Finding solution using numerical methods for differential equations that do not have any analytical solution
Computer programming application on 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
  This course discusses fundamental issues related to applied mathematics and engineering applications.
 --COURSE CONTENT
1. Week  Introduction, Mathematical Modelling,Programming, Error Analysis
2. Week  Roots of Equations 1: Bracketing Methods;Graphical Methods, The Bisection Method, The False Position Method
3. Week  Roots of Equations 2: Open Methods; Simple Fixed-Point Iteration, The Newton Raphson Method, The Secant Method Systems of Nonlinear Equations
4. Week  Linear Algebraic Equations 1: Gauss Elimination, Gauss- Seidel, Gauss-Jordan Methods
5. Week  Linear Algebraic Equations 2: L-U Decomposition and Matrix Inverse
6. Week  Curve Fitting 1: Least-Squares Regression; Linear Regression, Polynomial Regression, Multiple Linear Regression, Nonlinear Regression
7. Week  Curve Fitting 2: Interpolation; Newton's Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomial
8. Week   Mid-Term 1. Examination
9. Week  Numerical Integration 1: Newton Cotes Integration Formulas: The Trapezoidal Rule, Simpson's Rule
10. Week  Numerical Integration 2: Multiple Integrals,Improper Integrals Numerical Differentiation:High-Accuracy Differentiation Formulas,Partial Derivatives
11. Week  Ordinary Differential Equations 1: Euler's Method, Improvements of Euler's Method, Runge-Kutta Methods
12. Week  Ordinary Differential Equations 2: Systems of Equations, Boundary-Value and Eigenvalue Problems
13. Week  Partial Differential Equations 1: Finite Difference and Elliptic Equations
14. Week  Partial Differential Equations 2: Finite Difference and Parabolic Equations
15. Week   Mid-Term 2 Examination
16. Week   FINAL EXAMINATION
 -- RECOMMENDED OR REQUIRED READING
  Course Book: Chapra and Canale R.P., 2010, "Numerical Methods for Engineers", Sixth Edition, McGraw-Hill.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Recitation
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
2
60
 Assignment
6
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
14
0
0
 Reading
14
0
0
 Searching in Internet and Library
14
0
0
 Designing and Applying Materials
14
0
0
 Preparing Reports
14
1
14
 Preparing Presentation
14
0
0
 Presentation
14
0
0
 Mid-Term and Studying for Mid-Term
2
5
10
 Final and Studying for Final
1
7
7
 Other
0
0
0
 TOTAL WORKLOAD: 
73
 TOTAL WORKLOAD / 25: 
2.92
 ECTS: 
3
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Have sufficient theoretical and practical background for a successful profession and application skills of fundamental scientific knowledge in the engineering practiceX
2Have skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situationsX
3Have the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.X
4Have the ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusionsX
5Have the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologiesX
6Have ability of identifying the potential resources for information or knowledge regarding a given engineering issueX
7Have abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidenceX
8Have motivation for life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology
9Is aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues
10Have the ability for effective oral and official communication skills in Turkish Language and, at minimum, one foreign languageX
11Have consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanityX
12well-structured responsibilities in profession and ethics