COURSE UNIT TITLE

: LINEAR ALGEBRA II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LMÖ 1006 LINEAR ALGEBRA II COMPULSORY 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR SÜHA YILMAZ

Offered to

Mathematics Teacher Education

Course Objective

To develop the understanding of students about the concept and process of the linear algebra. At the end of this course students will attain the required knowledge of the linear algebra and solve the problems.

Learning Outcomes of the Course Unit

1   Make applications related to eigenvalues and eigenvectors.
2   Explain the basic concepts of vector spaces, metric spaces and inner product spaces and apply the Gram-Schmidt Orthogonalization process.
3   Perform operations related to base, dimension and stretch axiom.
4   Solve operations using base change.
5   Make applications related to linear transformations.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Characteristic polynomials, Cayley-Hamilton Theorem, eigenvalues and eigenvectors
2 Vector spaces, inner product spaces, metric spaces and their properties
3 Subvector spaces
4 Linear dependence and linear independence, linear combinations (components)
5 Span axiom, basis and dimension
6 Orthonormal vector systems and Gramm-Schmidt Method
7 Affine space and its basic properties
8 General review, course evaluation, midterm exam
9 Area and distance in Affine coordinates
10 Relations between affine coordinates and orthogonal coordinates
11 Linear transformations and their basic properties
12 Kernel and image of a linear transformation
13 Changes of basis and applications
14 Linear forms
15 Final exam

Recomended or Required Reading

1-Seymour Lipschutz, Lineer Cebir/Schaum's Outlines (2000)
2-Prof.Dr.Mustafa Özdemir, Lineer Cebir ve Çözümlü Problemler (2018)
3-C.H,Edwards, E.David Penney, Elementery Linear Algabra.
4-Yrd.Doç.Dr.Nezahat Çetin, Öğr.Gör.Dr.Nevin Orhun, Lineer Cebir
5-Prof.Dr.Fügen Torunbalcı Aydın, Lineer Cebir
6-Bernard Kolman, Linear Algabra
7-Prof.Dr.Arif Sabuncuoğlu, Çözümlü Lineer Cebir Alıştırmaları.
8-Dr.Öğr.Üyesi.Furkan Yıldırım, Lineer Cebir.
9-Marcell B.Fınan ,Çeviri Prof.Dr.Metin Yaman, Linner Cebirin Temelleri
10-Prof.Dr.Özlem Güney, Prof.Dr.Sedat Ilhan, Temel Teori ve Çözümlü Problemlerle Lineer Cebir
11-H.Hilmi Hacısalihoğlu, Lineer Cebir Çöxümlü Problemleri

Planned Learning Activities and Teaching Methods

Direct Instruction, questioning, discovery learning.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Assessment of students is measured by midterm and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Professor Süha Yılmaz
Dokuz Eylül University
Buca Faculty of Education
Department of Science and Mathematic
tel:05057061973
e-mail:suha.yilmaz@deu.edu.tr

Office Hours

It will be announced at the beginning of the semester.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 3 39
Preparation for midterm exam 1 12 12
Preparation for final exam 1 20 20
Preparations before/after weekly lectures 13 2 26
Midterm 1 1 1
Final 1 1 1
TOTAL WORKLOAD (hours) 99

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.111111111323323
LO.211111111323323
LO.311111111323323
LO.411111111323323
LO.511111111323323

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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