COURSE UNIT TITLE

: LINEAR ALGEBRA I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
LMÖ 1005 LINEAR ALGEBRA I COMPULSORY 3 0 0 3

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

The aim of this course 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   Add, multiply and calculate the value of the determinant using determinants.
2   Perform defined operations on matrices.
3   Apply row and column operations to a matrix.
4   Explain systems of equations with two and three unknowns geometrically.
5   Solve systems of equations using Gauss elimination and Gaus-Jordan methods.
6   Solve systems of equations using inverse matrix and Cramer methods.
7   Examine the relationships of planes with each other using systems of linear equations.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Determinant function and its properties
2 Sarrus and Laplace Rules for calculating the value of the determinant.
3 Definition of matrix, general properties and addition and multiplication operations in matrices
4 Matrix types and properties
5 Powers of matrices, finding the inverse of a matrix
6 Adjoint matrix and its properties, finding the inverse of a matrix with the help of an adjoint matrix
7 Rank of a matrix, writing a matrix in canonical form, elementary row operations in matrices
8 General review, course evaluation, midterm exam
9 History, definition and properties of linear equation systems
10 Gauss elimination, Gauss-Jordan Reduction Methods for solution methods of systems of linear equations
11 Inverse Matrix and Cramer Methods for solution methods of systems of linear equations
12 Homogeneous linear equation systems and solution methods
13 Non-homogeneous linear equation systems and solution methods
14 Investigation of the relations of planes with each other by using systems of linear equations
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 Çözümlü 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)

Prof.Dr.Süha Yılmaz
Dokuz Eylül Üniversity
Buca Faculty of Education
Department of Science and Mathematicsi
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 2 26
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 10 10
Preparation for final exam 1 11 11
Midterm 1 1 1
Final 1 1 1
TOTAL WORKLOAD (hours) 75

Contribution of Learning Outcomes to Programme Outcomes

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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

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