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
OME 2004 LINEAR ALGEBRA II COMPULSORY 2 0 0 2

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR CENK KEŞAN

Offered to

ELEMENTARY 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   Will be able to create different vector space examples
2   Will be able to explain vector space and its relations with subspace, linear dependence-independence, stretching, basis.
3   Will be able to explain inner product space and create non-routine problems
4   Will be able to write different orthogonal-orthonormal vectors in the inner product space
5   Will be able to define linear transformation over different vector spaces and determine kernel, image spaces
6   Will be able to perform operations about linear transformations and examine linear transformations by matrix algebra
7   Will be able to explain eigen values and eigen vectors
8   Will be able to explain necessary conditions for diagonalization

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Vector spaces
2 Sub spaces
3 Linear independence
4 Linear combination, stretching
5 Basis and dimension
6 Inner product spaces
7 Orthogonality and orthonormality
8 Course overview, evaluation and Midterm examination
9 Linear transformations, Kernel and image space
10 Linear transformation and matrix
11 Isomorphisms
12 Eigen values and eigen vectors, characteristic polynomials
13 Diagonolisation
14 Diagonolisation
15 Final

Recomended or Required Reading

Akbulut, F. (1974). Lineer Cebir Cilt II. Izmir: Ege Üniversitesi Matbaası.
Akbulut, F. (1976). Lineer Cebir Cilt I. Izmir: Ege Üniversitesi Fen Fakültesi Ofset Merkezi.
Akın, Ö. (Çev. Ed.) (2011). Uygulamalı Lineer Cebir (9. Baskı). Ankara: Palme Yayıncılık.
Keşan, C. ve Izgiol, D. (2016). Lineer Cebir, Matematik Öğretmen Adayları Için. Izmir: Birleşik Matbaacılık.

Planned Learning Activities and Teaching Methods

APOS Theory based instruction, discussion, question-answer, observation, group work, discovery learning, meaningful 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

Homework and presentations, discussion, student reflection

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

cenk.kesan@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 1 13
Preparation for midterm exam 1 3 3
Preparation for final exam 1 3 3
Preparing assignments 7 1 7
Preparing presentations 3 2 6
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 60

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.135455554
LO.235555554
LO.335455554
LO.435455554
LO.535455554
LO.635455554
LO.735455554
LO.835455554

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2015 DEÜ. BİD

HOME / ABOUT US / DEGREE PROGRAMMES / GENERAL INFORMATION FOR STUDENTS / INTERNATIONAL RELATIONS