COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 230NUMERICAL ANALYSIS3 + 06th Semester5

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Elective
Course Objective Learning basic methods of numerical analysis in detail, grasping the algorithms needed for implementation of numerical methods on a computer, making contribution to algebraic and analytical methods.
Course Content Mathematical preliminaries: Taylor’s theorem, order of convergence, difference equations / Computer arithmetic: representations of numbers, absolute and relative error, errors and their sources, significant digits / Solutions of nonlinear equations: Bisection method, Newton’s method, Secant method, Fixed point iteration, Zeros of polynomials / Interpolation: Polinomial interpolation, Divided differences, Equispaced interpolation, Inverse interpolation, Extrapolation, Curve fitting / Solutions of linear systems of equations, Matrix algebra, direct methods, iterative techniques, Numerical integration.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to face

COURSE LEARNING OUTCOMES
1Who has knowledge about general concepts of numerical analysis.
2Who has knowledge about computer arithmetic and numerical errors.
3Who learns various methods for the solutions of linear and nonlinear equations.
4Who learns various iteration methods.
5Who has knowledges about curve fitting.
6Who learns numerical integral.
7Who learns how to use numerical analysis in computer programs.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12
LO 01 3          
LO 02 24         
LO 03 555        
LO 04  55        
LO 05 55         
LO 06 545        
LO 07 555        
Sub Total 252820        
Contribution044300000000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14456
Mid-terms11212
Final examination12020
Total Work Load

ECTS Credit of the Course






130

5

COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2020-2021 Fall1ALİ KURT

Course Details
Course Code:  MAT 230 Course Title:  NUMERICAL ANALYSIS
L+P Hour : 3 + 0   Course Code : 1   Language Of Instruction: Turkish Course Semester :  2020-2021 Fall
Course Coordinator :  ASSOCIATE PROFESSOR ALİ KURT E-Mail:  akurt@pau.edu.tr Phone Number : 
Course Location MUH A0327,
Goals : Learning basic methods of numerical analysis in detail, grasping the algorithms needed for implementation of numerical methods on a computer, making contribution to algebraic and analytical methods.
Content : Mathematical preliminaries: Taylor’s theorem, order of convergence, difference equations / Computer arithmetic: representations of numbers, absolute and relative error, errors and their sources, significant digits / Solutions of nonlinear equations: Bisection method, Newton’s method, Secant method, Fixed point iteration, Zeros of polynomials / Interpolation: Polinomial interpolation, Divided differences, Equispaced interpolation, Inverse interpolation, Extrapolation, Curve fitting / Solutions of linear systems of equations, Matrix algebra, direct methods, iterative techniques, Numerical integration.
Attendance : %70
Topics
WeeksTopics
1 Basic concepts
2 Computer arithmetic, Taylor Series Expansion
3 Bisection method, Newton’s method
4 Bisection method, Newton’s method
5 Secant method, Fixed point iteration, Zeros of polynomials
6 Finite Differences
7 Finite Differences
8 Divided differences, Equispaced interpolation,Polinomial interpolation
9 Divided differences, Equispaced interpolation
10 Extrapolation, Curve fitting
11 Solutions of linear systems of equations
12 Solutions of linear systems of equations
13 Numerical differentiation and integration
14 Numerical differentiation and integration
Materials
Materials are not specified.
Resources
ResourcesResources Language
Numerical Methods for Mathematics, Science, and Engineering, 2nd Edition, John H. Mathews, Prentice Hall International Edition, 1992.English
Numerical Analysis, Brooks/Cole, 7th Edition, Richard L. Burden, J. Douglas Faires, 2001English
Sayısal Yöntemler ve Matlab Uygulamaları, Nurhan Karaboğa, Nobel Yayınevi, 2019.Türkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam60Final Exam
Midterm Exam40Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes
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