COURSE UNIT TITLE

: INTRODUCTION TO LINEAR ALGEBRA

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MAT 2001 INTRODUCTION TO LINEAR ALGEBRA COMPULSORY 4 0 0 7

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ENGIN MERMUT

Offered to

Statistics
Statistics(Evening)

Course Objective

The course aims at introducing students to the fundamental concepts of linear algebra, linear systems of equations, matrices, matrix algebra, determinants, vectors in n dimension and vector spaces, four fundamental spaces of a matrix, linear transformations and modern applications

Learning Outcomes of the Course Unit

1   1. be able to solve linear systems of equations.
2   2. be able to apply determinant and its properties
3   3. be able to understand vector algebra in n dimensional real space.
4   4. be able to determine linear dependence and linear independence.
5   5. be able to find fundamental subspaces of a matrix.
6   6. 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.
2 Row Echelon Form
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 Problems and discussion
9 Linear Independence Basis and Dimension
10 Linear Independence Basis and Dimension, Change of Basis
11 Linear Transformations
12 Matrix Representations of Linear Transformations
13 Similarity
14 Scientific Applications; geometry, statistics, computers.

Recomended or Required Reading

Textbook:
Steven J. Leon and Lisette G. de Pillis. Linear Algebra with Applications. Tenth Edition. Global Edition. Pearson, 2021.

Supplementary Textbooks:
David C. Lay, Steven R. Lay and Judi J. McDonald. Linear Algebra and Its Applications. Fifth edition. Pearson, 2016.
Howard Anton and Chris Rorres. Elementary Linear Algebra. Applications Version. 11th edition. Wiley, 2014.

Materials: Lecture Notes.

Planned Learning Activities and Teaching Methods

Lecture notes.
Problem solving.
Presentations.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Vize
2 FN Final
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Midterm Exam
Final Exam

Language of Instruction

English

Course Policies and Rules

Compulsory attandance 70%

Contact Details for the Lecturer(s)

Office: B251/1 (Department of Mathematics)
Phone: 0232 301 85 82
e-mail: engin.mermut@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Preparations before/after weekly lectures 13 4 52
Preparation for midterm exam 1 25 25
Preparation for final exam 1 35 35
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 172

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.1543434
LO.2543434
LO.3543434
LO.4543434
LO.5443333
LO.6543545

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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