COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Linear Algebra and Vectors * EEE   118 2 3 3 4

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction English
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Asst.Prof.Dr. Ercan AVŞAR
Instructors
Doç. Dr.MUSTAFA KEREM ÜN1. Öğretim Grup:A
Doç. Dr.MUSTAFA KEREM ÜN2. Öğretim Grup:A
 
Assistants
Goals
To teach the student matrix and vector algebra, linear independence and solution of linear systems of equations.
Content
Introduction to matrices, matrix algebra. Solution of linear systems of equations with Gaussian elimination. Vector spaces, linear independence, rank of a matrix. Fundamental theorem of linear equations, finding inverse with Gauss-Jordan elimination. Determinants, Cramers rule. Eigenvalues and eigenvectors, similar matrices, similarity transformations. Vectors and vector algbera. Vector analytical geometry, line and plane equations. Vector functions. Gradient, directional derivative, divergence and curl.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Has capability in those fields of mathematics and physics that form the foundations of engineering.
2
Grasps the main knowledge in the basic topics of electrical and electronic engineering.
3
Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering.
X
4
Identifies problems and analyzes the identified problems based on the gathered professional knowledge.
5
Formulates and solves a given theoretical problem using the knowledge of basic engineering.
X
6
Has aptitude for computer and information technologies
7
Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English.
X
8
Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices.
9
Has the ability to write a computer code towards a specific purpose using a familiar programming language.
10
Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared.
X
11
Has the aptitude to identify proper sources of information, reaches them and uses them efficiently.
X
12
Becomes able to communicate with other people with a proper style and uses an appropriate language.
13
Internalizes the ethical values prescribed by his profession in particular and by the professional life in general.
14
Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in.

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Introduction to matrices and linear systems of equations None
2 Matrix algebra, transpose and inverse of a matrix Review of the material of the previous lecture
3 Solution of linear systems with Gaussian elimination Review of the material of the previous lecture
4 Linear independence, rank of a mtarix Review of the material of the previous lecture
5 Fundamental theorem of linear systems, finding inverse through Gauss-Jordan elimination Review of the material of the previous lecture
6 Determinants, Cramer Rule Review of the material of the previous lecture
7 Eigenvalues Review of the material of the previous lecture
8 Mid-Term Exam Review of the material of covered sofar
9 Similar matrices and diagonalization Review of the material of the previous lecture
10 Introduction to vectors, vector algebra, vector products No preparation necessary
11 Analytical geometry with vectors, line and plane equations Review of the material of the previous lecture
12 Vector functions and their analysis Review of the material of the previous lecture
13 Gradient and directional derivative Review of the material of the previous lecture
14 Curl and divergence Review of the material of the previous lecture
15 Review Review of the material of the previous lecture
16-17 Term Exams Review of the entire lecture material

Recommended or Required Reading
Textbook
Additional Resources
Calculus - G. Thomas