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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS MAT 2037 LINEAR ALGEBRA I COMPULSORY 4 0 0 7

Offered By

Mathematics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR ENGIN MERMUT

Offered to

Mathematics (Evening) Mathematics

Course Objective

The aim of this course is to give the basic subjects of linear algebra such as solutions of linear systems of equations, the concepts of matrices, determinants, vectors in n dimension and vector spaces, linear transformations and operators.

Learning Outcomes of the Course Unit

1   be able to define matrices, elementary matrices and inverse of matrices. 2   be able to analyse linear systems of equations. 3   be able to apply determinant and its properties. 4   be able to understand vectors and their properties in n dimensional vector spaces. 5   be able to analyse vector spaces, subspaces, linear dependence and linear independence. 6   be able to identify whether the given transformation is linear or not.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Fields. Systems of Linear Equations. 2 Elementary Transformations. Matrices. 3 Row-Reduced Echelon Matrices. Matrix Multiplication. Invertible Matrices. 4 Determinants. Permutations and the Uniqueness of Determinants. 5 Elementary Matrix Operations and Rank of a Matrix. 6 Homogeneous and non-homogeneous Linear Systems. Cramer's Rule. 7 Vector Spaces. Subspaces. 8 Bases and Dimension. Coordinates. 9 Midterm Exam 10 Isomorphism. Linear Transformations. 11 The Algebra of Linear Transformations. 12 Representation of Transformations by Matrices. 13 Linear Functionals. The Double Dual. 14 The Transpose of a Linear Transformation.

Recomended or Required Reading

Textbook(s): Linear Algebra, 2nd Edition; K. Hoffman, R. Kunze, Prentice-Hall, INC., Englewood Cliffs, New Jersey. Supplementary Book(s): Linear Algebra, 2nd Edition; Serge Lang, ADDISON-WESLEY PUBLISHING COMPANY. Materials: Lecture Notes.

Planned Learning Activities and Teaching Methods

Lecture notes. Problem solving.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE MIDTERM EXAM 2 ASG ASSIGNMENT 3 FIN FINAL EXAM 4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + ASG * 0.20 + FIN * 0.40 5 RST RESIT 6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + ASG * 0.20 + RST * 0.40

Further Notes About Assessment Methods

None

Assessment Criteria

To be announced.

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

e-mail: engin.mermut@deu.edu.tr Phone: (232) 301 85 82

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 13 4 52 Preparations before/after weekly lectures 12 2 24 Preparation for midterm exam 1 20 20 Preparation for final exam 1 30 30 Preparation for quiz etc. 4 2,5 10 Preparing assignments 4 5 20 Final 1 2 2 Midterm 1 2 2 Quiz etc. 4 1 4 TOTAL WORKLOAD (hours) 164

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 LO.1 5 5 4 4 5 3 LO.2 5 5 5 4 5 3 LO.3 5 5 4 4 5 3 LO.4 4 5 4 4 4 LO.5 4 4 4 3 4 LO.6 4 4 3 3 4