GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
INTRODUCTION TO NUMERICAL ANALYSIS/MM 313 E
Course Title: INTRODUCTION TO NUMERICAL ANALYSIS
Credits 3 ECTS 4
Semester 5 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  English
 -- NAME OF LECTURER(S)
  Assist.Prof. Ezgi GÜNAY, Assoc.Prof.Dr.Nureddin Dinler, Instr.Dr.Tunç APATAY, Instr.Dr.Tolga PIRASACI
 -- WEB SITE(S) OF LECTURER(S)
  websitem.gazi.edu.tr/egunay, websitem.gazi.edu.tr/ndinler, websitem.gazi.edu.tr/site/tapatay, websitem.gazi.edu.tr/pirasaci
 -- EMAIL(S) OF LECTURER(S)
  egunay@gazi.edu.tr, ndinler@gazi.edu.tr,tapatay@gazi.edu.tr, pirasaci@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Understanding and application of the methods to find the roots of an equations.
Students are expected to be able to apply basic numerical methods about the system of linear algebraic equations.
Students are expected to understand and apply the curve fitting methods.
Students are expected to understand and apply the basic knowledge of numerical differentiation and integration.
Students are expected to understand and apply the basic knowledge of numerical solution of differential equations.
 -- 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
  MM 102 Mühendislikte Programlamaya Giriş
 --COURSE CONTENT
1. Week  INTRODUCTION: Numerical methods used for problem solving. Steps in solving a problem with a computer. Mathematical modelling.
2. Week  ROOTS OF EQUATIONS: Graphical methods. Bracketing methods: Bisection and false-position methods.
3. Week  ROOTS OF EQUATIONS: Open methods: Simple one-point iteration, Newton–Raphson, secant and modified Newton–Raphson methods.
4. Week  SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS: Introduction. Methods for solving systems of linear algebraic equations. Gauss elimination method.
5. Week  SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS: Matrix inversion method. Gauss-Seidel method. LU decomposition methods
6. Week  CURVE FITTING: Introduction. Least square regression: Linear regression, polynomial regression and multiple linear regression.
7. Week  CURVE FITTING: Interpolation methods: Newton Interpolation, Lagrange interpolation, quadratic spline interpolation.Cubic spline interpolation.
8. Week  MIDTERM EXAM I.
9. Week  NUMERICAL INTEGRATION: Introduction. Numerical integration methods: Newton–Cotes formulas, trapezoidal rule.
10. Week  NUMERICAL INTEGRATION: Simpson’s rules: Simpson’s 1/3 rule, Simpson’s 3/8 rule.
11. Week  NUMERICAL DIFFERENTIATION: Introduction. Finite difference approximations of the first and the second derivatives: Forward, backward and central diff
12. Week  MIDTERM EXAM II.
13. Week  NUMERICAL DIFFERENTIATION: Derivatives of unequally spaced data.
14. Week  NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS: Euler’s method, Runge–Kutta methods.
15. Week  NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
16. Week  FINAL
 -- RECOMMENDED OR REQUIRED READING
  1. Numerical Methods for Engineers, S. C. Chapra and R. P. Canale, McGraw-Hill, Fifth Edition. 2. Numerical Methods for Engineers, B. M. Ayyub and R.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Drill - Practise
 -- WORK PLACEMENT(S)
  none
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
2
50
 Assignment
5
5
 Exercises
0
0
 Projects
0
0
 Practice
2
0
 Quiz
3
5
 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
15
3
45
 Practising Hours of Course Per Week
0
 Reading
7
1
7
 Searching in Internet and Library
10
2
20
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
2
10
20
 Final and Studying for Final
1
10
10
 Other
0
0
 TOTAL WORKLOAD: 
102
 TOTAL WORKLOAD / 25: 
4.08
 ECTS: 
4
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice.X
2Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situationsX
3Engineering graduates with 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
4Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologiesX
5Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusionsX
6Ability of identifying the potential resources for information or knowledge regarding a given engineering issueX
7The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidenceX
8Ability for effective oral and official communication skills in Turkish Language and, at minimum, one foreign languageX
9Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technologyX
10Engineering graduates with well-structured responsibilities in profession and ethicsX
11Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues
12Consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanity