PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
MAT 359	INTRODUCTION TO NUMERICAL ANALYSIS	3 + 0	5th Semester	5,5

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Elective
Course Objective	The main objectives of this course are to provide the student with a clear presentation of the basic concepts and principles of numerical analysis.
Course Content	Approximations and Errors, Solution of Nonlinear Equations, Solving Sets of Nonlinear Equations, Finite Difference Operators, Interpolation, Least-Squares Approximations, Numerical Differentiation, Numerical Integration.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Have information about number systems and any errors.
2	Solves nonlinear equations/system of equations.
3	Has the numerical differention and integration.
4	The majority of analytical methods, solutions to problems, not comprehend the reality of the direct or iterative numerical methods.
5	They understand the need for the use of computer programs prepared by professionals.

COURSE'S CONTRIBUTION TO PROGRAM

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	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	2	28
Mid-terms	1	38	38
Final examination	1	35	35
Total Work Load ECTS Credit of the Course			143 5,5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
MAT 359	INTRODUCTION TO NUMERICAL ANALYSIS	3 + 0	1	Turkish	2021-2022 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Assoc. Prof. Dr. ALİ KURT	akurt@pau.edu.tr		FEN A0311	%70

Goals		The main objectives of this course are to provide the student with a clear presentation of the basic concepts and principles of numerical analysis.
Content		Approximations and Errors, Solution of Nonlinear Equations, Solving Sets of Nonlinear Equations, Finite Difference Operators, Interpolation, Least-Squares Approximations, Numerical Differentiation, Numerical Integration.

Topics

Weeks	Topics
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

Resources	Resources 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, 2001	English
Sayısal Yöntemler ve Matlab Uygulamaları, Nurhan Karaboğa, Nobel Yayınevi, 2019.	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	50	Final Exam
Midterm Exam	50	Midterm Exam

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

Prospective Student