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
ELECTIVE

Offered By

Physics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR MUHAMMED DENIZ

Offered to

Physics

Course Objective

Learning of the basic concepts and principles of Linear Algebra such as the solution of the systems of linear equations, determinants, the concept of matrices, n-dimensional vectors and vector spaces, linear transformations and operators, inner product space etc.

Learning Outcomes of the Course Unit

1   To be able to use linear operators and their matrix representations
2   To be able to use determinants and their properties
3   Determining eigenvectors and eigenvalues
4   To be able to use properties of inner product spaces, unitary and orthogonal operators
5   To be able to use Gram Schmidt orthogonalization procedure

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
2 Matrix algebra and its basic operations
3 Vector Spaces
4 Linear dependency and independency
5 Linear Transformations
6 Determinants
7 Eigenvalues and eigenvectors
8 Midterm
9 Real and Complex valued inner product spaces. Gram-Schmidt orthogonalization procedure.
10 Normal, identical, unitary and orthogonal operators.
11 Nilpotent linear operators. Jordan's canonical form
12 Cayley Hamilton theorem and Rational canonical form

Recomended or Required Reading

Main textbook:
[1] Friedberg,S. H., Insel, A. J., Spence, L. E. Linear Algebra, 4th Edition, Pearson, 2003.
[2] Koç, C. Basic Linear Algebra, Matematik Vakfı Yayınları, 2009 (Türkçe çevirisi Doğrusal Cebir , 2014).

Auxiliary Books:
[1] Shifrin, T. and Adams, M. R. Linear Algebra: A Geometric Approach, 2nd edition, W. H. Freeman and Company, 2011.
[2] Koç, C. Topics in Linear Algebra, Matematik Vakfı Yayınları, 1996.
[3] Strang, G. Linear Algebra and Its Applications. 4th edition. Thomson Brooks/Cole, 2006.

References
[1] Lay, D. C. Linear Algebra and Its Applications. 4th edition. Pearson, 2012.
[2] Hoffman, K. M. and Kunze, R. Linear Algebra. 2nd edition. Pearson, 1971.

Planned Learning Activities and Teaching Methods

1. Lecturing
2. Cooperative Learning
3.Question-Answer
4.Discussing
5.Home Work

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.40 + FIN * 0.60
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + FIN * 0.60


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

Further Notes About Assessment Methods

None

Assessment Criteria

The homeworks will be assessed by directly adding to the mid-term scores

Language of Instruction

English

Course Policies and Rules

It is obligated to continue to at least 70% of lessons

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 13 2 26
Tutorials 13 2 26
Preparations before/after weekly lectures 13 4 52
Preparation for midterm exam 1 10 10
Preparation for final exam 1 12 12
Preparing assignments 13 2 26
Web Search and Library Research 13 1 13
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 169

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.14425
LO.24425
LO.34425
LO.44425
LO.54425

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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