COURSE UNIT TITLE

: NUMERICAL ANALYSIS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
EED 3101 NUMERICAL ANALYSIS ELECTIVE 4 0 0 4

Offered By

Electrical and Electronics Engineering (English)

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR UTKU KÂNOĞLU

Offered to

Electrical and Electronics Engineering (English)

Course Objective

The aim of the course is to use learn various numerical methods for solving various mathematical problems in electrical enginerring, which involve large numbers of tedious arithmetic calculations, fast and efficiently.

Learning Outcomes of the Course Unit

1   To be able to solve a single design context equation for a parameter or a variable using roots of equations
2   To be able to solve a set of linear algebraic equations
3   To be able to determine best or optimal value or values of a variable with optimization methods
4   To be able to use interpolation and regression techniques to fit curves to data points
5   To be able to perform numerical integration for engineering practice and solving differential equations.
6   To be able to solve ordinary differential equations (i.e. initial value and boundary value problems) numerically
7   To be able to compute eigenvalues numerically
8   To be able to solve partial differential equations numerically in a pointwise fashion

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Mathematical Modeling and Engineering Problem-Solving
2 Approximation and Round-off errors, Truncation and the Taylor Series
3 Bracketing methods, the bisection method, the false position method
4 Open methods, simple fixed point iteration, newton-raphson method, the secant method
5 Gauss Elimination, Gauss Jordan, LU Decomposition
6 Least squares regression
7 Interpolation
8 Lagrange Interpolationg polynomials, spline interpolation, newton's divided difference interpolating polynomials
9 Fourier approximation
10 Newton-Cotes integration of equations
11 Numerical Differentiation
12 Runge Kutta Methods
13 Boundary value and eigenvalue problems
14 Finite Difference Methods: Elliptic and Parabolic Equations

Recomended or Required Reading

Ana kaynak:
Steven C. Chapra, Raymond P. Canale, Numerical Methods for Engineers, McGraw-Hill, 2009.

Yardımcı kaynaklar:
1. R. W. Hamming, Numerical Methods for Scientists and Engineers, Dover, 1987.
2. Stanislaw Rosloniec, Fundamental Numerical Methods for Electrical Engineering (Lecture Notes in Electrical Engineering) , Springer, 2008

Referanslar:

Diğer ders materyalleri: Lecture notes

Planned Learning Activities and Teaching Methods

Lectures with active discussions, midterm and final examinations, laboratory sessions with active discussions, computer based homeworks for laboratory sessions

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 + ASG * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.30 + RST * 0.40


Further Notes About Assessment Methods

None

Assessment Criteria

Students ability to make calculations in course outcomes are evaluated using 1 midterm and 1 final examination. Their ability to use the information and capture the concepts in applications are evaluated in 10 computer laboratory experiments for which they have to prepare software programs to solve various electrical engineering problems. Midterm consist 30%, Homeworks consists 30% and final examination consists 40% of the final grade

Language of Instruction

English

Course Policies and Rules

The attendance is mandatory and will be strictly tracked.

Contact Details for the Lecturer(s)

Dr. Serkan Günel : serkan.gunel@deu.edu.tr

Office Hours

Will be announced at the beginning of the semester

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Labratory 10 2 20
Preparations before/after weekly lectures 10 1 10
Preparation for midterm exam 1 8 8
Preparation for final exam 1 10 10
Preparing assignments 5 3 15
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 109

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13
LO.15541
LO.25541
LO.35511
LO.45531
LO.5531
LO.655451
LO.7555
LO.85

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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