GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
NUMERICAL ANALYSIS/MAT-202
Course Title: NUMERICAL ANALYSIS
Credits 3 ECTS 4
Course Semester 4 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
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
 --WEEKLY SCHEDULE
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 methods.
4. Week  ROOTS OF EQUATIONS: Secant and modified Newton–Raphson methods.
5. Week  SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS: Introduction. Methods for solving systems of linear algebraic equations. Gauss elimination method.
6. Week  SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS: Matrix inversion method. Gauss-Seidel method. LU decomposition methods
7. Week  CURVE FITTING: Introduction. Least square regression: Linear regression, polynomial regression and multiple linear regression.
8. Week  CURVE FITTING: Interpolation methods: Newton Interpolation, Lagrange interpolation, quadratic spline interpolation.Cubic spline interpolation.
9. Week  MIDTERM EXAM. 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 diffe
12. Week  NUMERICAL DIFFERENTIATION: Derivatives of unequally spaced data.
13. Week  NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS: Euler’s method, Runge–Kutta methods.
14. Week  NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
60
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
60
 Percentage of Final Exam to Total Score  
40
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
 Reading Tasks
10
1
10
 Searching in Internet and Library
10
2
20
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
10
10
 Final Exam and Preperation for Final Exam
1
10
10
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
92
 TOTAL WORKLOAD / 25: 
3.68
 Course Credit (ECTS): 
4
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Uses textbooks, application tools and other resources with up-to-date information in engineeringX
2Designs a machine, part or process to provide expected performance, manufacturing characteristics and economyX
3Design engineering systems, conduct experiments, analyze and comment on the resultsX
4Takes responsibility individually and as a team member to solve unpredictable complex problems encountered in engineering applicationsX
5Plans and manages activities for employee development in project workX
6Use databases and other sources of information in accessing information related to the field and conducting literature research
7Becomes aware of lifelong learning, follows developments in science and technology and constantly self-renewal
8Identifies, presents, formulates and solves manufacturing engineering problems using current computer software and engineering methodsX
9Follows the information in the field in a foreign languageX
10Knows the issues of quality, environment, occupational health and safety in project management and engineering applications
 -- NAME OF LECTURER(S)
   (Doç.Dr. Onuralp ULUER , Dr.Öğr.Üyesi Ali ÖZGEDİK)
 -- WEB SITE(S) OF LECTURER(S)
   (websitem.gazi.edu.tr/site/uluer , websitem.gazi.edu.tr/site/ozgedik)
 -- EMAIL(S) OF LECTURER(S)
   (uluer@gazi.edu.tr , ozgedik@gazi.edu.tr)