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 3005 LINEAR ALGEBRA ELECTIVE 2 2 0 7

Offered By

Physics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR SALAHATTIN ÖZDEMIR

Offered to

Physics

Course Objective

The aim of this course is to introduce the basic concepts of linear algebra with modern applications such as solutions of linear equation systems, matrix concepts, determinants, vectors and vector spaces in n dimensions, four fundamental spaces of the matrix, linear transformations.

Learning Outcomes of the Course Unit

1   will be able to solve linear systems of equations
2   will be able to apply determinant and its properties
3   will be able to understand vector algebra in n dimensional real space
4   will be able to determine linear dependence and linear independence
5   will be able to find fundamental subspaces of a matrix
6   will be able to apply linear transformations

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Systems of linear equations Similarity
2 Row Echelon Form Scientific Applications
3 Matrix Arithmetic, Matrix Algebra
4 Elementary Matrices
5 The Determinant of a Matrix
6 Properties of Determinants, Cramer's Rule
7 Vector Spaces, subspaces, Row Space and Column Space
8 Linear Independence - Midterm
9 Linear Independence Basis and Dimension, Change of Basis
10 Linear Transformations
11 Matrix Representations of Linear Transformations
12 Eigenvalues and Eigenvectors

Recomended or Required Reading

Main textbook:
[1] Steven J. Leon, Linear Algebra with Applications, 9th edition, Pearson Education, 2015.
[2] Koç, C. Basic Linear Algebra, Matematik Vakfı Yayınları, 2009 (Türkçe çevirisi Doğrusal Cebir , 2014).

Auxiliary Books:
[1] Koç, C. Topics in Linear Algebra, Matematik Vakfı Yayınları, 1996.
[2] Strang, G. Linear Algebra and Its Applications. 4th edition. Thomson Brooks/Cole, 2006.
[3] Lay, D. C. Linear Algebra and Its Applications. 4th edition. Pearson, 2012.

Planned Learning Activities and Teaching Methods

Lecture Notes
Problem solving
Presentation
Homework

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


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

Assignments will be given during the semester. Also, there will be a midterm and a final exam.

Language of Instruction

English

Course Policies and Rules

It is the student's responsibility to attend 70% of the courses during the semester (in face-to-face education). The class time and the time specified for homework submission must be adhered to. Unethical behaviors that may occur in classes and exams will be acted upon within the framework of the relevant regulation. You can find the regulation on the teaching and examination application principles of the Faculty of Science of D.E.U at http://web.deu.edu.tr/fen.

Contact Details for the Lecturer(s)

To be anounced later

Office Hours

To be anounced later

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Tutorials 14 2 28
Preparation for midterm exam 1 20 20
Preparation for final exam 1 30 30
Preparing assignments 1 25 25
Preparations before/after weekly lectures 14 2 28
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 163

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.144211212115111
LO.244211212115111
LO.344211212115111
LO.444211212115111
LO.544211212115111
LO.611111111111111

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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