COURSE UNIT TITLE

: LINEAR ALGEBRA

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 2026 LINEAR ALGEBRA COMPULSORY 4 0 0 6

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR HALIL ORUÇ

Offered to

Statistics
Statistics(Evening)

Course Objective

This course introduce students to matrices, equation systems and vector spaces. It aims to develop skills such that reducing sophisticated problems to a single system of linear equation and simplifying many applied problems by changing bases of vector spaces.

Learning Outcomes of the Course Unit

1   Will be able to use properties of matrices and elementary matrices
2   Will be able to analyse linear system of equations
3   Will be able to identify bases and dimensions of vector spaces
4   Will be able to use linear transformations
5   Will be able to define inner product spaces
6   Will be able to determine eigenvalues and corresponding eigenvectors

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Matrices and system of equations: System of linear equations, Row Echelon form
2 Matrix algebra, elementary matrices, partitioned matrices
3 Determinants: The determinant of a matrix, properties of determinants, Cramer s rule
4 Vector Spaces. Definition and examples, subspaces, linear dependence
5 Basis and dimension, change of basis, row space and column space
6 Linear transformations: Definition and examples, matrix representation of linear transformations, similarity
7 Orthogonality: the scalar product in n dimensional real vector space, orthogonal subspaces
8 Least square problems, inner product spaces
9 Midterm
10 Orthonormal sets, The Gram-Schmidt ortogonalization process, orthogonal polynomials
11 Eigenvalues: Eigenvalues and eigenvectors, diagonalization
12 Hermitian matrices, the singular value decomposition
13 Quadratic forms
14 Positive definite matrices

Recomended or Required Reading

Textbook(s):
Linear Algebra with Applications (7th edition) Steven J. Leon, Pearson Prentice Hall.
Supplementary Book(s):
1. Introductory Linear Algebra with applications (8th edition) Bernard Kolman, David R. Hill, Prentice Hall.

Planned Learning Activities and Teaching Methods

Lecture Notes, Presentation, Problem Solving.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

Attendance to at least 70% for the lectures is an essential requirement of this course and is the responsibility of the student. It is necessary that attendance to the lecture and homework delivery must be on time. Any unethical behavior that occurs either in presentations or in exams will be dealt with as outlined in school policy. You can find the undergraduate policy at http://web.deu.edu.tr/fen

Contact Details for the Lecturer(s)

DEU Fen Fakültesi Matematik Bölümü
e-posta: ali.sevimlican@deu.edu.tr
Tel: 0232 301 85 84

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Preparations before/after weekly lectures 12 3 36
Preparation for midterm exam 1 21 21
Preparation for final exam 1 25 25
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 138

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.1343
LO.2343
LO.343
LO.4353
LO.543
LO.654

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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