Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
7EEE 484COMPUTATIONAL METHODS 3+0+03510.07.2024

 
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program ELECTRICAL-ELECTRONICS E.
Type of Program Formal Education
Type of Course Unit Elective
Course Delivery Method Face To Face
Objectives of the Course Students learn finite precision arithmetic and numerical errors, solve nonlinear equations and system of nonlinear equations, solve linear systems of equations, construct an analytical function that fits to experimental data, compute integrals numerically, solve ordinary differential equations numerically.
Course Content Numerical errors and their estimation, approximation and interpolation. Roots of equations. Solution of linear and non-linear simultaneous equations. Numerical differention and integration. Solution of ordinary and partial differential equations. Introduction to statistical methods.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator Associate Prof.Dr. Serkan ÖZBAY
Name of Lecturers Associate Prof.Dr. SERKAN ÖZBAY
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Lecture Notes
Course Notes Numerical Methods for Engineers, 7th edition, Steven C. Chapra, Raymond P. Canale

Course Category
Mathematics and Basic Sciences %60
Engineering %30
Engineering Design %10
Social Sciences %0
Education %0
Science %0
Health %0
Field %0

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 2 % 60
Final examination 1 % 40
Total
3
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 3 42
Hours for off-the-c.r.stud 14 3 42
Mid-terms 2 20 40
Final examination 1 30 30
Total Work Load   Number of ECTS Credits 5 154

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Bilgisayarda sayıların depolanmasının açıklanması
2 Depolama ve Kesik gibi sayısal hataların sınıflandırılması
3 Aritmetik işlemlerin sayısal hataların yayılmasındaki etkisinin tartışılması
4 Sayısal kararsızlığın tanımlanması
5 Doğrusal olmayan denklem çözümlerinde kullanılan sayısal yöntemlerden örnek verilmesi
6 Matris denklem çözümleri için direk tekrarlı yöntemlerin sınıflandırılması
7 Tekrarlı yöntemlerin yakınsama davranışlarının kestirimi
8 Sayısal türev kurallarından örnek verilmesi
9 Sayısal integral kurallarından örnek verilmesi
10 Bayağı diferansiyel denklem metotlarında kullanılan farklı yöntemlerin tartışılması
11 Kısmi diferansiyel denklem metotlarında kullanılan farklı yöntemlerin tartışılması

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Approximations and Round-Off Errors
2 Truncation Errors
3 Roots of Equations
4 Gauss Elimination
5 Gauss Elimination
6 LU Decomposition and Matrix Inversion
7 Least-Squares Regression
8 Interpolation
9 Numerical Integration
10 Numerical Integration
11 Numerical Differentiation
12 Ordinary Differential Equations
13 Runge-Kutta Methods
14 Partial Differential Equations

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5 5 3
C1 5 5 3
C2 5 5 3
C3 5 5 3
C4 5 5 3
C5 5 5 3
C6 5 5 3
C7 5 5 3
C8 5 5 3
C9 5 5 3
C10 5 5 3
C11 5 5 3

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