PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 239	NUMERICAL ANALYSIS METHODS	2 + 2	4th Semester	7

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	Learning basic methods of numerical analysis in detail, grasping the algorithms needed for implementation of numerical methods on a computer.
Course Content	Basic concepts (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, Matlab applications), Interpolation (Polinomial interpolation, Divided differences, Equispaced interpolation, Extrapolation, Curve fitting , Matlab applications), Solutions of linear systems of equations (Direct methods, İterative techniques, Numerical differentiation and integration, Matlab applications)
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

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

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12	PO 13
LO 001	5	5	4	5	4	2	2	5	3	4	1	1	1
LO 002	5	5	4	2	4	5	1	4	1	1	1	1	1
LO 003	5	5	4	4	4	5	1	4	1	1	1	1	1
LO 004	5	5	3	4	4	2	1	1	1	1	1	1	1
LO 005	5	5	3	4	4	2	1	1	1	1	1	1	1
LO 006	5	5	3	4	4	2	1	1	1	1	1	1	1
LO 007	5	5	4	4	3	1	1	1	1	1	1	1	1
Sub Total	35	35	25	27	27	19	8	17	9	10	7	7	7
Contribution	5	5	4	4	4	3	1	2	1	1	1	1	1

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	4	56
Hours for off-the-classroom study (Pre-study, practice)	13	5	65
Assignments	2	14	28
Mid-terms	1	10	10
Final examination	1	14	14
Internet Searching/ Library Study	1	9	9
Total Work Load ECTS Credit of the Course			182 7

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 239	NUMERICAL ANALYSIS METHODS	2 + 2	1	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. OLCAY POLAT	opolat@pau.edu.tr		TEK A0401-03	%70

Goals		Learning basic methods of numerical analysis in detail, grasping the algorithms needed for implementation of numerical methods on a computer.
Content		Basic concepts (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, Matlab applications), Interpolation (Polinomial interpolation, Divided differences, Equispaced interpolation, Extrapolation, Curve fitting , Matlab applications), Solutions of linear systems of equations (Direct methods, İterative techniques, Numerical differentiation and integration, Matlab applications)

Topics

Weeks	Topics
1	Introduction to Numerical Analysis. Errors in Numerical Calculations
2	Roots of Equations
3	Roots of Equations
4	Numerical Solution of Linear Equation Systems
5	Numerical Solution of Linear Equation Systems
6	Solution of Nonlinear Equation Systems
7	Curve fitting
8	Curve fitting
9	Interpolation
10	Numerical Differentiation and Integral
11	Numerical Differentiation and Integral
12	Numerical Solutions of Ordinary Differential Equations
13	Numerical Solutions of Ordinary Differential Equations
14	Numerical Solutions of Ordinary Differential Equations

Materials

Materials are not specified.

Resources

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	60	Final Exam
Midterm Exam	40	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student